Geometry AB GAVS Final Exam

A student wants to write an expression for, "all of the elements which are not in set A but are in set B". Which expression below matches the statement?

(A'∩B)

What is the scale factor of the dilation? (Dilations and similarity quiz 1)

3

The pool above has a length of 32 feet, width of 18 feet, and depth of 6 feet. How much water can it hold?

3,456 cubic feet

What is the total volume of a pair of dice with side length 12 millimeters?

3,456mm

The measure of arc XY is 85 degrees. The measure of arc WZ is 25 degrees. What is the measure of angle 3?

30 degrees

Solve 8 /13 = 20/x

32.5

Which of the following is the formula for the volume of a sphere?

4/3 πr^3

Choose EVERY true proportion.

AB/AD = BC/DE, AB/BD = AC/CE and AC/AE = BC/DE

What criteria can you use to show these two triangles are congruent?

ASA

Which is NOT true of the construction of an angle bisector?

All 3 of these are true of the construction of an angle bisector, except "when you're finished, you have a line that bisects your segment" - this would be a perpendicular bisector

What information would you need to prove these two figures are similar?

All corresponding angles are congruent AND all of the corresponding sides are proportional.

Which of the following is NOT used in geometric constructions?

protractor

What geometric figure best describes the large building in the photo?

pyramid

A plane slices through a rectangular pyramid parallel to the base. What is the shape of the cross-section?

rectangle

What inverse trig function can be used to find the measure of angle A?

sin^-1

What shape is a soccer ball?

sphere

What shape is used to describe a marble?

sphere

Find the equation of the line that has a y-intercept of 1 and is perpendicular to the graph of the line 2x + y = 4.

y = 1/2 x + 1

Solve for y. Circle with 4 lines. First line is A and 10. Second line is 3 and Y.

y = 5

Give the equation of the line parallel to a line through (-3, 4) and (-5, -6) that passes through the origin.

y = 5x

The pentagon shown could be reflected over which line to be carried onto itself?

y-axis

Ralph bought a dozen widgets and it cost $30. How much will 80 widgets cost?

$200

Find the point P that is 2/5 of the way from A to B on the directed line segment AB if A (-8, -2) and B (6, 19).

(-2.4, 6.4)

A triangle has vertices of (0,2), (3,0), (0, -3). If it is dilated with center at the origin, and a scale factor of 2, what will be the coordinates of the image?

(0,4), (6,0), (0, -6)

A triangle has vertices of (0,3.5), (3,1.5), (0, -1.5). If it is dilated with center at the origin, and a scale factor of 2, what will be the coordinates of the image?

(0,7), (6,3), (0, -3)

Which of these points lies on the circle with center (2, 3) and radius 2?

(4, 3)

Convert the equation of the circle below to standard form: {x^2} + 2x + {y^2} + 6y\; = \;15

(x+1)2+(y+3)2=25

What is the equation of a circle with radius 2 and center (3, 1)?

(x−3)^2+(y−1)^2=4

What is the slope of a line parallel to 3x + y = 7

-3

A perfectly vertical stack of dominoes has a volume of 1.8 cubic inches. Another stack of the same number of dominoes is slanted slightly to the right. What is its volume?

1.8 cubic inches

P(A) = 3/4 P(B) = 1/3 If A and B are independent, what is P(A ∩ B)?

1/4

In a survey, 70 out of 84 people from the north prefer professional football over college football. 120 people from the south were asked the same question. In order for favorite type of football and region to be independent,______ people in the south would have to prefer professional football

100

P(A) = 8/15 P(B) = 6/15 P(A ∩ B) = 1/5 Find P(A U B)

11/15

A sprinkler sprays water over a distance of 40 feet and rotates through an angle of 80º. Find the area watered by the sprinkler.

1117.01 square feet

Solve for x. Round to the nearest hundredth. Triangle with 90 angle and hypothesis 28 and another angle 64.

12.27

A dog has dug holes in diagonally-opposite corners of a rectangular yard. One length of the yard is 8 meters and the distance between the two holes is 17 meters. How wide is the yard?

15 meters

A park ranger is looking out from their station at a 30 degree angle of depression. The ranger is 80 feet above the ground. How far is it from the ranger up in the station down to the fire? Round to the nearest hundredth.

160

A rectangle has the following vertices: A(-1, 9), B(0, 9), C(0, -8), D(-1, -8). What is the area of rectangle ABCD?

17 square units

Solve for x. with angles 30 and 60. Sides 4 and x

2

Which of the following pairs are alternate interior angles?

2 and 7

A club consists of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve and Samuel). Find P(Girl | K-name)

2/3

P(A) = 1/2 P(B) = 1/3 P(A ∩ B) = 1/6 Find P(A U B)

2/3

What is the slope of a line perpendicular to 3x + 2y = 7?

2/3

Find the perimeter of quadrilateral ABCD with vertices A(0, 4), B(4, 1), C(1, -3), and D(-3, 0).

20 units

What is the measure of arc RST?

204 degrees

The population of Woodstock, GA is about 23,896 people, and the city encompasses 11.3 square miles. What is the population density of Woodstock?

2114.7 people per square mile

Mac is 5 feet tall and casts a 4 foot 6 inch shadow. At the same time, a nearby tree casts a 20 foot shadow. Which is the closest to the height of the tree?

22 feet 2 inches

The "body" of a soda can (in between the lid and the bottom) is a cylinder. If the body is about 4.5 inches tall with a diameter of about 2.6 inches, what is the volume of soda the body of the can is able to hold?

23.89 cubic inches

A cereal box has a height of 10 inches, a length of 8 inches, and a width of 2 inches. What is the surface area of the cereal box?

232 square inches

Solve for x. Round to the nearest tenth of a degree. with numbers 20 and 40.

26.6 degrees

A rectangular pyramid has a volume of 90 cubic feet. What is the volume of a rectangular prism with the same size base and same height?

270 cubic feet

△ABC has been rotated __________ counter-clockwise around the origin.

270 degrees

Find the Value of x.

28

You're purchasing a new television with a 32" screen. The 32" measurement represents the diagonal measurement of the screen. You remember the height at the store was 16". What is the width of the TV (rounded to the nearest inch)?

28 inches

Segments AB and BC are both tangent to the circle shown above. What is the length of BC? *Note: photo not necessarily to scale

5

Which of the following pairs are vertical angles?

5 and 2

What is the cosine of angle B?

7 square root 65/65

Students at a high school were polled regarding whether or not they would like to change the vending options at the school. Use the tree diagram to determine how many students responded "yes".

750

The bottom of a slide at the playground is 6 feet from the base of the play set. The length of the slide is 10 feet. How tall is the slide?

8 feet

If c = 16, solve for b. with angles 60 and 30

8 square root 3

A rectangle's length is 1.5 times its width. The perimeter of the rectangle is four more than 3 times the length. What are the dimensions of the rectangle?

8 x 12

Covington, Georgia has a total area of 13.9 square miles and a population of 11,547 people. What is the population density of the city?

830.72 people per square mile

Line l is tangent to circle Q. What is the measure of the angle formed at the point of tangency?

90 degrees

Round to the nearest tenth. triangle with side 10 and angle 37

A = 53 degrees a = 13.3 c = 16.6

A student wants to write an expression for, "all of the elements which are not in set A". Which expression below matches the statement?

A'

Which of the following is NOT an equivalent expression to Area of sector = πr^2θ​/360?

Area of sector = 2πrθ/360​

Are the two figures similar?

False

Which of the following is the appropriate way to name the line connecting points A and D.

Line AD

What operation would you use to find the mass of an object given its density and volume?

Mass = (Density)(Volume)

Choose the theorem below that can NOT help you determine the measure of an angle.

Midpoint

Are the triangles similar?

Not similar.

Based on the given information, can you prove that these triangles are similar?

Not similar.

Which expression represents the probability of the union of not A and not B?

P(A′∪B′)

Which expression represents the probability of choosing an item from the intersection of A and B?

P(A∩B)

If a student (represented by initials) was chosen at random, find P(HH|C').

P(HH|C') = 1/2

Which section or sections represent the union of HH and C?

Sections 1,2, and 3.

Which section or sections represent what is not in set HH?

Sections 3 and 4.

What side is congruent to side ON?

Side QP

(x,y) (1/2x, 1/2y) (0,1) (0,1/2) (4,-2) (2,-1) (-6,1) (-3,1/2) The table below shows a set of points that have been dilated. The rule for the dilation is (1/2x, 1/2y).

True

What is a radian?

an angle measure with an arc length equal to one radius length

Which of the following constructions must you know how to do in order to construct an inscribed circle for a given triangle?

angle bisector

Sector area is a fraction of a circle's _________________.

area

The city of Covington is placing a statue in a triangular grassy area bounded by sidewalks on all 3 sides. If the city wants the statue to be an equal distance from all 3 sides of the grassy area, where should they place it?

at the incenter of the triangle

If a = 11, solve for b and c.

b = 11 c = 11\sqrt 2

Give the center and radius of the circle defined by the following equation: (x−1)^2 + y^2 = 5

center = (1, 0) radius = sqrt 55

What shape is formed when a plane slices through a sphere at any angle?

circle

What shape is formed when a rectangle is rotated around an axis bisecting it?

cylinder

What formula must be used to find the perimeter of a polygon in the coordinate plane?

distance formula

The circle above is rotated about the axis as shown. What shape is formed?

donut

Laurie is constructing an angle bisector. She sketched her angle, then opened her compass to a radius length less than the length of the rays that make up the angle. What should be her next step?

draw an arc, using the vertex as the center

The angle of elevation from object A to object B is always ______ the angle of depression from object B to object A.

equal to

A prism with a heart-shaped base is sliced parallel to the base. What shape is formed?

heart

The 3D object above is sliced parallel to the base. What shape is formed?

hexagon

Jan is constructing an inscribed circle in a triangle. What is the center of this circle called?

incenter

Given a triangle with coordinates X(2, -1), Y(-5, -4), and Z (-2, 3), what type of triangle is it?

isosceles

△GHK has been reflected over what line to create the resulting image?

line y=x

Does the point (3, -1) lie on the circle (x+1)^2 + (y - 1)^2 = 16

no; when you plug in the point for x and y in the equation, you do not get a true statement

Which of the following constructions must you know how to do in order to construct a circumscribed circle for a given triangle?

perpendicular bisector

An inscribed circle is ________ all 3 sides of the triangle it is inscribed in.

tangent to

Which of the following is NOT true of a perpendicular bisector?

to construct it, we have to draw two arcs using the intersection points as centers

Solve for x. four lines inside the circle. 4 and x 10 and 2

x = 5

A triangular pyramid is sliced by a plane parallel to the base. What is the shape of the cross-section?

triangle

Round to the nearest tenth. Triangle with sides 50 and angle 75

w = 51.8 X = 15 degrees x = 13.4

The triangle has been reflected over the line. Find x, y and z.

x = 1 y = 11 z = 4

Does the point (2, 2) lie on the circle {(x - 4)^2} + {(y - 2)^2}\; = 4?

yes; when you plug the point in for x and y, you get a true statement

How many radians are in 60 degrees?

π/3

Which of the following is NOT an appropriate name for the angle pictured below?

∠DAF

The blue and green objects below form a(n) __________, whose name is _____________.

∠EAC

Which two triangles are congruent?

△MNO≅△RPQ

The red object below, is best defined as a ________________ named __________.

◯Y

A farm has 6 chickens, 4 ducks, 2 pigs and 4 cows. If an animal is chosen at random, find P(Cow | 2 legs). Cor

0

A rectangle's length is 1.25 times its width. Its perimeter is 3 times the length plus one. What are the dimensions of the rectangle?

1.33 x 1.67

A triangular prism has a base area of 12 square centimeters, and a height of 15 centimeters. What is the volume?

180 cubic centimeters

△ABC has been rotated __________ counter-clockwise around the origin.

180 degrees

Area of sector is to _______________ as arc measure is to 360 degrees.

circle area

Arc length is a fraction of a circle's _____________.

circumference

Arc length is to ____________ as central angle is to 360 degrees.

circumference

An equilateral triangle is rotated around an axis bisecting the triangle. What shape is formed?

cone

The right triangle above is rotated about the axis shown. What shape is formed?

cone

Nate is constructing a tangent line to a circle he drew from a point outside the circle. Once he has the circle and the point drawn, what is his next step?

connect the center of the circle to the point outside the circle

Kris has 3 daughters who all live in different cities across Georgia. She wants to live somewhere that is an equal distance from each of her daughters. She mapped out the 3 cities and drew a triangle connecting them. How can she find a point on the map that is an equal distance from all 3 cities?

construct the circumcenter

Ed is constructing the perpendicular bisector of a segment on his paper. He just finished labeling the points of intersection of the two arcs that he drew. What is his next step?

construct the line connecting the two points

In order to prove that a quadrilateral is a square specifically, we must show that it possess the properties of both a ________ and a _________.

rectangle; rhombus

Which of these is NOT a method for proving that a quadrilateral is a parallelogram?

show that one pair of opposite sides is parallel and the other is not parallel

Solve for x. circle with two tangent line. The first line is 10. THe other are 5 and x

x = 15

The points A(-3, -4) and B(5, 0) form a line segment. Find the coordinates of the point P that partitions segment AB in a 2:3 ratio.

(0.2, -2.4)

Ian's home is represented by the point (4, 4) on the coordinate grid. Joe's home is represented by the point (10, 6) on the coordinate grid. They want to meet at a diner is halfway between their houses (i.e., divides the line from Ian's house to Joe's house in a 1:1 ratio). What are the coordinates of the diner?

(7, 5)

If A={2,4,6,8,10,12} and B={3,6,9,12,15} then A∩B is

(A∩B)={6,12}

Which expression represents the union of A and B?

(A∪B)

If A={2,4,6,8,10,12} and B={3,6,9,12,15} then (A∪B) is

(A∪B)={2,3,4,6,8,9,10,12,15}

In the standard form of a circle (x - h)^2 + (y - k)^2 = r^2 which of the following represents the center of the circle?

(h, k)

What is the density, in grams/cubic inch, of a substance with a mass of 6 grams filling a rectangular box with dimensions 2 in x 6 in x 3 in?

0.17

The cosine of 50 degrees is 0.64. What is the sine of 40 degrees?

0.64

What is the density of a piece of metal that has a mass of 25 grams and a volume of 29.4 cubic centimeters?

0.85

The sine of 72 degrees is 0.95. What's the cosine of 18 degrees?

0.95

Solve for x. Triangle with angle 30 and 60. Sides with sqrt 3

1

Which of the following ratios is equivalent to 1/2?

1 : 1

To prove a quadrilateral is a trapezoid, what must we show?

1. one pair of opposite sides parallel 2. one pair of opposite sides NOT parallel (different slopes)

A piece of wood measures 4 in x 6 in x 3 in and has a mass of 80 grams. What is its density?

1.1 Grams/in^3

A baker is folding up open-topped boxes to package up her baked goods. She has flat, rectangular pieces of cardboard that are 10 inches by 6 inches. She wants to maximize the volume of the box. What size squares should she cut from the corners of the cardboard?

1.21 inches

The distance from A to B is 10 and the distance from A to B' is 2. What is the scale factor?

1/5

P(A) = 1/2 P(B) = 1/3 If A and B are independent, what is P(A ∩ B)?

1/6

P(A) = 1/2 P(B) = 1/3 If A and B are independent, what is P(A ∩ B)? Correct answer:

1/6

Find the Value of y.

10

Given rectangle ABCD with vertices A(1, 4), B(3, 6), C(6, 3), and D(4, 1), what is the perimeter of ABCD? Leave your answer in simplified radical form.

10 and square root 2

What dimensions would maximize the area of a rectangle with a perimeter of 40 centimeters?

10 cm x 10 cm

A sector of a circle has a central angle measure of 310 degrees. If the radius of the circle is 2 feet, what is the area of the sector?

10.82 square feet

A circle has a diameter of 10 centimeters. If a sector with a central angle of 50 degrees is cut out, what is the area of this sector?

10.91 square centimeters

Emily went to a local shop to purchase some round rugs. Each rug has a radius of 3 feet. She is trying to cover as much of the floor of her 18 foot by 20 foot living room as possible without any overlap of the rugs. How much of the bare floor will be visible around the rugs?

105.5 square feet

What is the mass of a cylinder of lead with a radius of 1 centimeter and a height of 3 centimeters, given that the density of lead is 11.4

107.39 grams

Find the perimeter of trapezoid WXYZ with vertices W(2, 3), X(4, 6), Y(7, 6), and Z(7,3). Leave your answer in simplest radical form.

11 + square root 13 units

A cylinder has a volume of 33 cubic inches. What is the volume of a cone with the same radius and height?

11 cubic inches

The park is 6 miles due west of your house, and the library is 11 miles north of your house. How far is the shortest distance from the park to the library? Round to the nearest half mile.

12.5 miles

If angle 5 measures 150 degrees, what is the measure of angle 8?

150 degrees

Find the measure (in degrees) of the central angle subtended by the arc length of 8 centimeters shown above.

152.79 degrees

What is the measure of arc RT? circle with angle 102

156 degrees

A candy bar sells for 4 for $5. How many can be bought for 20 dollars?

16 bars

Two window washers, Ian and Caleb, lean a ladder against the side of a building so that Ian can wash a window while Caleb holds the ladder. The top of the ladder reaches the window, which is 15 feet off the ground. The base of the ladder is 8 feet away from the building. How long is the ladder?

17 feet

Solve for x. Round to the nearest hundredth.tan51 = x/14.8

18.28

Jessica has some round stickers. Each sticker has a radius of 2 cm. She is trying to cover as much of a sheet of paper that is 24 cm by 33 cm as possible without any overlap and modification of the stickers. How much of the bare paper will be visible around the stickers?

188.81 square cm

What is the measure of angle A? With a sides 4 and 12

19.47 degrees

Standing on one bank of a river, an explorer measures the angle to the top of a tree on the opposite bank to be 27 degrees. He backs up 50 feet and measures the angle to the top of the tree to now be 22 degrees. How wide is the river? Round to the nearest tenth of a foot.

191.5 feet

If the distance from C to C' is 8 and the scale factor is 5. What is the distance from A to C?

2

Solve for x. triangle with angles 30 and 60 and hypothesis 4

2

What is the slope of a line parallel to -6x + 3y = 5?

2

△ABC, what is the scale factor?

2

A club consists of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve and Samuel). Find P(K-name | girl)

2/5

When partitioning a line segment, what is the rational form of the ratio 2:3?

2/5

A 5 60 C B 40 D 25 100 According to the table, _____ should be the value of B.should be the value of B.

20

Find the height of the tree.

20

Joe is building a rectangular pool in his yard. He knows that the perimeter of the pool must be 88 feet, but he wants the surface of the pool to have the largest possible area. What length and width should Joe choose for the pool?

22 ft x 22 ft

David is trying to solve the following. If 24 people have the flu out of 360 people, how many would have the flu out of 900? Choose EVERY proportion that David could use to solve this problem.

24/360 = x/900

If the measure of arc AB is 50 degrees, what is the measure of angle ADB?

25 degrees

A pizza has a radius of 7 inches. If it is cut into 6 equal slices, what is the area of each slice?

25.66 square inches

A circle has a radius of 5 inches. Find the length of the arc intercepted by a central angle of 300 degrees. Round to the nearest hundredth of an inch.

26.18 inches

A hula hoop has a radius of 19 inches. What is the length of the arc subtending 1/4 of the hoop?

29.8 inches

Segments AB and BC are both tangent to the circle shown above. What is the value of x? *Note: photo not necessarily to scale. two lines. X^2 +3 and 12

3

Students at a high school were polled regarding whether or not they would like to change the vending options at the school. Use the tree diagram to determine how many upper-classmen responded "yes".

300

If the measure of arc AB is 64 degrees, what is the measure of angle ADB?

32 degrees

A museum has a model of an Egyptian pyramid. It has a rectangular base that is 10 feet by 8 feet, with a height of 12 feet. What is the volume of the pyramid?

320 cubic feet

What is the value of x.

35

A rectangle has the following vertices: A(-1, 9), B(0, 9), C(0, -8), D(-1, -8). What is the perimeter of rectangle ABCD?

36 units

Ian orders an ice cream cone filled to the top with ice cream, with 1 perfectly round scoop of ice cream on top. The cone and the scoop of ice cream both have a radius of 1.8 inches, and the height of the cone is 4.5 inches. What is the total volume of ice cream Ian receives?

39.7 cubic inches

Julie wants to show that a quadrilateral with vertices J(2, 3), K(2,7), L(-2,7), M(-2,3) is a square. Using the distance formula, what should she find the length of each side to be?

4

P(A) = 1/2 P(A ∩ B) = 1/5 What will P(B) have to be for A and B to be independent?

4/10

What is the slope of a line perpendicular to 3x + 4y = -2?

4/3

Solve for x. Round to the nearest tenth if necessary. Triangle with side 28 and angle 47

41.1

35 A 40 20 40 B C D 100 According to the table,_____ should be the value of D.

45

Given a 45-45-90 triangle with a leg length of 5, what is the length of the hypotenuse?

5 square root 2

Find the area of a triangle with vertices A(3, 1), B(2, -1), and C(-2, 1). Leave your answer in decimal form, rounded to the nearest hundredth.

5 square units

Connie has to solve the following problem. 5 boxes of cereal costs $12.50. How much will 18 boxes cost. Choose EVERY proportion Connie could use to solve this problem.

5/12.5 = 18/x and 5/18 = 12.50/x

If there are 15 girls and 9 boys in an art class, the ratio of girls to boys in the class is _______.

5/3

A farm has 6 chickens, 4 ducks, 2 pigs and 4 cows. If an animal is chosen at random, find P(Cow U C-name).

5/8

You are pouring juice into a cylindrical cup with a 2 inch radius and height of 8 inches. If you want to fill it exactly half full, how many cubic inches of juice should you pour in?

50.3 cubic inches

If the measure of arc BC is 182 degrees and the measure of arc AC is 78 degrees, what is the measure of angle 1?

52 degrees

35 A 40 20 40 B C D 100 According t o the table, ______ should be the value of C.

55

A 5 60 C B 40 D 25 100 According to the table, _______ should be the value of A.

55

△ABC∼△DEF, find m∠C.

59

Which angle is a corresponding angle with angle 2?

6

Find the value of x. DIlations and similarity test

6 2/3

Given a 30-60-90 triangle whose shortest leg is 3 centimeters, what is the length of the hypotenuse?

6 cm.

35 A 40 20 40 B C D 100 According to the table,_____should be the value of B.

60

The radius of a baseball is approximately 2.5 inches. What is its volume?

65.45 cubic inches

In a basketball drill, two players start at the same spot on the court. One player runs 6 feet down the court and the other player runs 4.5 feet across the court (in a direction perpendicular to the first player). What is the distance that one player must pass the ball for it to reach the other?

7.5 feet

This fall, 126 students participated in the soccer program, while 54 played volleyball. What was the ratio of soccer players to volleyball players?

7/3

The measure of arc PQR is equal to 250 degrees. The measure of arc PR is equal to 110 degrees. What is the measure of angle 2?

70 degrees

If the measure of arc AB is 72 degrees, what is the measure of angle ACB?

72

A meteorologist measures the angle of elevation to her weather balloon as 33 degrees. A radio signal from the balloon indicates that it is 1601 meters diagonally from her location. How high is the weather balloon above the ground? Round to the nearest hundredth.

871.97 feet

A triangular pyramid has a triangular base with height of 1.5 inches and base length of 4 inches, and height of 9 inches. What is the volume?

9 cubic inches

Paige is in a hot air balloon that has just taken off and is floating above its launching point. Ryan is standing on the ground, 12 meters away from the launching point. If Paige and Ryan are 15 meters apart, how high up is Paige?

9 meters

Find the length of the arc on a circle with a radius of 7 centimeters and a central angle of 74 degrees.

9.04 centimeters

Which proportion could be used to find the value of v.

9/6 = 8/v

The mass of a piece of aluminum is 250 grams. The density of aluminum is 2.7 g/mL. What is the volume of the piece of aluminum?

92.59 mL

Round to the nearest tenth. Triangle with side 11 and a and b. Angles are 72 and A

A = 18 degrees a = 3.4 b = 10.5

If point (x, y) is reflected over the x-axis, the resulting point is (-x, -y).

False

Line FD is the appropriate name for the ray pictured below.

False

Under the translation (x+3,y−1) the point (3, 4) will become (0, 5)

False

Under the translation(x−2,y+3) the point (0, -4) will become (-2, -7)

False

When an object is reflected over a line, the resulting image is not congruent to the original image.

False

If a student (represented by initials) was chosen at random, find P(HH U C).

P(HH \∪ C)= 13/16

Find the point that partitions the segment AB with coordinates A(-2, 4) and B(7, -2) in the ratio 1:2.

P: (1, 2)

Given points X(-1, 2) and Y(7, 14), find the coordinates of the point P on the directed line segment that partitions XY in the ratio 1:3.

P: (1, 5)

Which point is the image of point A under the translation (x,y)→(x+1,y−4)

Point C

If the pentagon below is to be reflected over the y-axis, which point would not move at all?

Point G

Which point is the image of point B under the translation (x,y)→(x−1,y+2)

Point J

Which point is a reflection of point K over the x-axis?

Point L

Given any two side lengths in a right triangle, what is used to find the third side length?

Pythagorean Theorem

Which of the following can be used when two triangles share a side?

Reflexive

What criteria can you use to show these two triangles are congruent?

SAS

If point (x, y) is rotated 180 degrees about the origin, the resulting point is (-x, -y).

True

If the point (-6, 4) is dilated by a scale factor of 1/2, the resulting point is (-3, 2).

True

Owning a smartphone and gender are independent.

True

P(A) = 5/6 P(B) = 4/5 P(A ∩ B) = 2/3 A and B are independent. Cor

True

Under the translation (x−2,y+4) the point (-1, 2) will become (-3, 6)

True

When an object is rotated around a point, the resulting image is congruent to the original pre-image.

True

Choose all the situations that are independent

Two marbles are pulled from a deck (with replacement) A coin is tossed 10 times.

The density of air is approximately 1.225kg/m^3 . What is the volume of a soccer ball if the mass of the air it contains is 0.08 kg?

V = 0.07 cubic meters

The line containing points E and G is a diameter. It ______ chord DF.

bisects

Round to the nearest tenth. Triangle with sides 5 and 12 and 13

X = 67.4 degrees Y = 22.6 degrees

Are the triangles similar? dilations and similaraty test

Yes, by the AA rule.

Are the triangles similar?

Yes, by the SAS rule.

Are the triangles similar?

Yes, by the SSS rule.

Are these shapes similar? (Dilations and similarity quiz 1)

false