Math Exam

Joelle leaves home and rides her bike 3 blocks west and 4 blocks north to get to the convenience store. If you model this situation with the coordinate plane with Joelle's house as the origin, what will the coordinates of the convenience store be?

(-3,4)

What are the coordinates of A' if A' = r (small y)-axis (A) and A = (6, -2)

(-6, -2)

Suppose M is the midpoint of AB. If A = (-4, 7), and M= (2, -1), find the coordinates of B

(-1, 3)

Refer to the diagram below. What are the coordinates of A' if △A'B'C' = R₉₀ (△ABC)

(-2, -1)

Which of the following is the image of (-5, 4) under a translation by the vector 〈2, -1〉

(-3,3)

Lucille bought place mats for a dinner party and is trying to orgaize her table space. Each placemat is the union of a 10 inches x 10 inches square and two semicircles, as shown below. How much area does each placemat cover?

(100 + 25π) inche squared

Refer o the figure shown. Find m∠B.

(113 - x) °

Consider △KLM shown. Find the coordinates of K' if S (subscript -.5) (△KLM) = △K'L'M'

(3, -1.5)

Find the center and radius for the sphere (x-3)² + y² + (z+2)² = 64

(3, 0, -2); r=8

What is the intersection of 2x + 3y = -9 and -3x - 4y = 11?

(3,-5)

At what point do 3x - 2y = 26 and 5x = 7y + 58 intersect?

(6, -4)

In the figure shown, r (small n) ○ r (small m) (W"X"Y"Z". What is the magnitude of he rotation around P that would map WXYZ directly to W"X"Y"Z".

-106

Suppose A has coordinate -7 on a number line and D is on the same line so that AD = 10.3. What are the possible coordinates for D

-17.3 or 3.3

The figure shows a volume dial, The dial is marked in equal sections. A setting is chosen by rotating the arrow around the center. What is the magnitude of the rotation required to move the arrow from OFF to 5 in a clockwise direction

-225

The slope of any line perpendicular to the lie with equation -2x + 3y = 9 is _____

-3/2

On a number line, AT=40 and the coordinate of a is -5. What are the possible coordinates of T?

-45 or 35

Joel is flying his kite in he park. While he holds one end of the 65-foot kite string, the kite floats at an angle of elevation of 50°. How much higher is the kite than the hand which which Joel is holding the string?

49.8 ft

The figure shown is the top view of a vegetable tray. Which of the following best describes its symmetry?

5 lines of symmetry, 72° rotational symmetry

△QRS is isosceles with base QR and an exterior angle at S that measures 130 degrees. What are the measure of the three angles of the triangle?

50, 65, 65

What is the perimeter of a regular decagon in which one side has length (1/2) g

5g

A cylinder has a volume of 432 π and a height of 12. What is the radius of the base?

6

Find the exact area of the figure shown, given that the center of the arc is (-2, 3)

60 + 12x

Determine the number of planes of symmetry in the right prism shown

7

Suppose △TRI ≅ △AGL. If m∠I = 9x - 3, m∠R = 6x + 12, and m∠L = 7x + 19, find m∠G.

78

Refer o the figure shown. If q is parallel to r, m∠2 = 14x +2, m∠5 = 11x + 3, and m∠6 = 16x-12, find m∠3

80

In ⊙L, ray LQ bisects ∠PLR. If mQR = 46, find m∠PLR

92

△ABC, m∠A = 6x - 7, m∠B = 5x + 8, and m∠C = 3x + 11. List the sides in order from shortest to longest

AB, BC, AC

Refer to the figure below. AB ⋂ CB

AC

In △ABC shown, it is given that BA⊥CA and AD⊥BC. If AB = 3 and AC = 4, which segment has a length of 2.4?

AD

What information would be sufficient to conclude the figure ABCD shown is a parallelogram

AD ∣∣ BC, AD = 3, BC=3

Suppose you completed the proof below, What would be the justification for the final step?

CPCF Theorem

When Bill and Gabby got married, each had children from previous marriages. Bill had Bonnie, Betty, and Bud, while Gabby had Greg and Genevieve. Later, Bill and Gabby had Cameryn and Jack together. Which children are in the intersection of Bill's biological children and Gabby's biological children.

Cameryn and Jack

In the figure show, which point represents r ᵤ(X)

D

In the figure shown, find r (subscript s) ○ (subscript t) (P)

D

What would someone have to do to disprove the conjecture: An apple a day keeps the doctor away?

Eat an apple every day and get sick enough to need a doctor once

Given that △FGH is a right triangle, find the cosine of ∠F

FG/FH

Refer to the diagram and proof below. Which of the following is the justification for Step 3 of the proof?

Figure reflection theorem

Suppose you use a DGS to draw line LM and point P between L and M. Which of the following equations will be true?

LP + MP = LM

Lisa is a flight attendant. She drew the network below to represent the flights she services. One week, Lisa serviced all nine flights without repeating any. What could have been her first flight?

Los Angeles to Atlanta

Which of the following descroptions matches the diagram shown?

NOPLM is a pentagon with ∠L≅∠O,∠N≅∠M, and m∠P = 90

Laura told her sister, "If you wash the dishes on Sunday, then I'll wash the dishes on Monday." Laura did the dishes on Monday. What, if anything, can we conclude

No conclusions can be made

Consider the figure shown. What give information would be sufficient to prove △PSR ≅ △ PTQ by the ASA Congruence Theorem?

PS ≅ PT, ∠PSR ≅ ∠PTQ

The distance from Tom's house to Rosa's house is 3.2 miles. The distance from Tom's house to Abdul's house is 1.4 miles. The distance from Rosa's house to Abdul's house is 4.3 miles. If each house is represented by a point labeled with the person's inital, which diagram most accurately depicts the situation

R to the left, A to the right, and T to the top

Jonah has friends from school and friends from Boy Scouts. He invites his friends from Boy Scout that also go to his school to the bowling party. What best describes the group he has invited?

The intersection of the two sets of friends

If you complete the proof below, what will the justification be for ∠B ≅ ∠BCA

Transitive Property of Congruence

Consider the conditional: I'll take my umbrella if it looks as if it will rain. Which statement is the converse of this conditional?

If I take my umbrella, then it looks as if it will rain.

It is given that AD, FC, and EB are diameters of ⊙O shown. What theorem justifies the conclusion that ∠AOF ≅ ∠DOC

If angles are vertical angles, then they are congruent

Using the figure below, which statement justifies the conclusion that EF∣∣ CD

If l⊥m and m⊥n, then l⊥n

Which of the following is the correct way to read the statement p⇒q

If p, then q

In the figure shown, it is given that m ∣∣ n. What statement would justify the conclusion that ∠2 ≅ ∠6?

If two parallel lines are cut by a transversal, then corresponding angles are congruent

Suppose this statement is true: If you smoke, then you will get lung cancer. Which of the following statements must also be true?

If you don't not get lung cancer, then you do not smoke

In which of the following is "fruit" part of the consequent?

If your food is good for you, then it is fruit

Dan claims that since the two sides of his ladder have the same length and meet at the hinge at the top, they must always make the same angle with the ground. What theorem supports Dan's claim?

Isosceles Triangle Base Angles Theorem

Quadrilateral KITE at the right is a kite with ends K and T. If m∠EKT = 40, find m∠KTI

cannot be determined

Assuming the following figures have the same perimeter, which has the greatest area?

circle

Which of the following is not a polygon

circle

Let p= there is a person at the door, and lat d - the doorbell rings. Which of the following best represents the statement, "there is a person at the door if the doorbell rings"?

d =⧽ p

What geometric figure is created by the graph of the inequality x ≤ 100 on a number line?

ray

Which of the following is not true?

ray AG = ray GA

Chase is trying to draw a parallelogram that is not a rhombus. Which of the following is such figure?

rectangle

Which of the following polygons would not tessellate a plane?

regular pentagon

What figures belong in the shaded region of the Venn diagram shown

rhombi and squares

Courtney was practicing her constructions, She started with a segment AB, She drew ⊙A with radius AB and ⊙B with radius BA, labeling the two intersection points X and Y. What is the most specific name for the quadrilateral AXBY?

rhombus

Which of the following is a convex figure?

rhombus

Which of the following quadrilaterals does not necessarily have congruent diagonals?

rhombus

Which of the following would be put below "kite" in a hierachy of polygons?

rhombus

In the diagram shown, what type of isometry maps Figure I onto Figure II

rotation

Orientation is preserved by both

rotations and translations

Which of the following is not an undefined term in geometry?

segment

Which of the following networks is not traversal?

square with line bisecting it and an acre on the other dots

A plastic dinosaur is 6 inches long. The toy manufacture is considering making a similar larger dinosaur that would be 12 inches long. How would the volume of plastic required for the larger dinosaur compare to that of the smaller dinosaur?

the larger dinosaur would require eight times as much plastic

A musician transposed his music down an octave as shown below. What geometric transformation does this transposition exhibit?

translation

The net shown represents which of the following surface?

triangular pyramid

Identify the figure that shows a counterexample to the following statement: If two angles are complementary, then they are adjacent.

two 45 degree angels not touching

Which equation represents a line through (1, -2) and perpendicular to the line shown?

y = 2x - 4

What is the equation for the line on the graph below?

y= (-1/2)x + 2

Which of the following is the equation for the line shown?

y= -2x - 2

Let A = {10, 17, 20, 27, 30, 37, 40, 47, 50} and B = the set of all intergers greater than 20 that are multiples of 5. What is A ⋂B?

{30, 40, 50}

In the figure shown, △ADC ⋂ △ABC

{line AC}

Refer to the figure below. If q∣∣r, which of the following angles will not necessarily have the same measure as ∠4?

∠5

In the figure below, you cannot assume that _____

∠BOY is a right angel

Which of the following relationships is not transitive?

⊥

Given the information on the diagram shown, which argument is valid?

△ACB ≅ △ECD by the SAS Congruence Theorem

Which statement is true if WY and XZ bisect each other in the figure shown.

△OXW ≅ △OZY by SAS

In the figure shown, it is given that m∠DEF = 26. Find mGH in ⊙B

104°

In the figure shown, it is given that j∣∣k, m∠6 = 8x + 7, m∠7 = 4x + 23, and m∠3 = 6x + 32. Find m∠6.

107

In the figure shown, find m∠A.

119

In the figure below, CR is a diameter of ⊙O. If mICR = 319, then m∠COI =

139

An aquarium is a rectangular prism that measures 20 inches by 12 inches by 14 inches. About how many gallons of water does it hold?

14.5

In the figure shown, ray CF bisects ∠DCE. Find m∠DCE

162

Hector made a U-turn in his car. How many degrees did his car rotate?

180

A building casts a 12-ft shadow. At the same time, a 6-ft statue casts a 3.6-ft shadow. How tall is the building?

20 ft

The sides of △ABC measure 12, 15, and 18. Which of the following side lengths do not represents a triangle similar to △ABC?

20, 25, 35

Assume the radius of Earth is 3960 miles and that there are no hills or obstructions. About how far can you see to the horizon from an airplane 5 miles high?

200 miles

Debra makes lemonade in a cylindrical pitcher. She fills the pitcher to the 2-liter mark. If the diameter of the pitcher is 11 cm, abut how high up is the 2-liter mark from the bottom of the pitcher?

21.0 cm

Find the area of an isosceles trapezoid with bases measuring 18 and 26 and legs measuring 11

22 √105

Refer to the diagram below. Given the ray EB bisects ∠AEC, m∠DEC + 9x + 16 and m∠BEC = 2x + 4, find m∠AEB

28

What id the surface area of a sphere with a diameter of 12?

288π

Which of the following could be the length of the third side of a triangle with two sides measuring 34 cm and 12 cm.

30 cm

In ⊙O shown, m∠BCA = 53. Find m∠BDC.

37

Jolene put a poster for her freinds in a cylindrical mailing tube and wants to cover the lateral surface of the tube with wrapping paper. The mailing tube is 28 inches long and has a diameter of 3 inches. What are the dimensions of the smallest piece of wrapping paper that will cover the lateral surface?

3π in. by 28 in.

Li's house is 1.4 miles from school and Joe's house is 2.7 miles from school. Which of the following is not a possible distance from Li's house to Joe's house

4.7 miles

Refer to the diagram below. What must be done to make the network traversal?

Add an arc from B to D

The Venn Diagram shows the relationship between the Concert Choir and the Choral at Derek's school. Based on the diagram, which of the following statements is not true

All members of the Concert Choir are members of the Chorale

In the figure shown r (subscript w) (A) = C. Which of the following is true

All of the above are true

Which statement is true in Euclidean geometry?

All of the above statement are true in Euclidean geometry

If ABCDE ≅ ZYWXV, which is a true statement?

All of these statements are true

At which node should one start to traverse the network shown?

B or C

In the figure shown, which is the shortest segment?

BD

Which of the following is not a correct view of the solid figure shown

Back

Which of the following is not a property of al kites

Both pairs of opposite angles are congruent

SKIP

SKIP

Refer to the diagram below. What transformation maps △ABC to △A'B'C'

S₃

What statement describes the reflection and rotations symmetry of the design shown?

The design has two lines of symmetry and 180 degree rotations symmetry.

Leslie has a photo frame with three panels connected with hinges as shown. If m∠1 = m∠2, what can be said about the panels of the frame

The first and third pants are parallel

Consider the conditional: If a bouquet is made of red roses, then it is beautiful. An ugly bouquet of red roses is _____

a counterexample to the conditional

Consider this conditional: If a quadrilateral is a parrallelogram, then it is also a rectangle. The figure shown is

a counterexample to the conditional

Which statement is true in Euclidean geometry

a point has no size or shape

Let t=a person is a vegatarian and g=a person is a vegan. According to the diagram below, which of the following statements is true?

g=⧽t

What isometry maps the arrow shown to its image

glide reflection

Consider the figure shown. Which statement justifies the conclusion that ∠1 is supplementary to ∠2

if two angles form a linear pair, then they are supplementary

Why is the statement "Two angles are adjacent angles if and only if they share a common side" a bad definition for "adjacent angles"

it does not accurately describe what is being defines d

Which of the following is not an accurate way to name the figure shown?

line Z

Which of the following best describes the figure shown?

nonconvex heptagon

What classification could be given to a triangle with sides measuring 9, 12, and 16?

obtuse

What is the most specific name for the quadrilateral shown?

parallelogram

Which of the following terms would be above isosceles triangle if you constructed a hierarchy?

polygon