Qa. Geometry 1st 9 weeks test Chap 1-3, P0. Simplest Radical Form, P2. Pythagorean Triples, P1. Pythagorean Theorem

Find the midpoint of the following endpoints. (4, -6) and (6, 8)

(5, 1)

Find the midpoint of the following endpoints. (2, 5) and (8, 7)

(5, 6)

E, F, and G are collinear and F is between E and G. If EG = 50 and EF = 25, then FG=

25

Find the distance given the following end points. (-4, -1) and (-4, -4)

3

Q is the midpoint of segment PR. If PQ = 6x+3 and PR = 2x+56, find QR

33

E, F, and G are collinear and F is between E and G. If EG = 59 and EF = 8x-14 and FG = 4x+1, then EF =

34

Point A, B, and C are collinear. Point B is between A and C. Find AB if BC = -2+5x, AB = 2x, and AC = 12.

4

J, K, and L are collinear and K is between J and L. If JL = 75 and KL = 35, them JK =

40

Q is the midpoint of segment PR. If PQ = 6x-7 and QR = 5x+1, find PQ

41

Q is the midpoint of segment PR. If PQ = 6x-7 and QR = 5x+1, find QR

41

J, K, and L are collinear and K is between J and L. If JL = 120 and JK = 4x+6 and KL = 7x+15, then JK =

42

Point A, B, and C are collinear. Point B is between A and C. Find x if AC = 16, BC = x+6, and AB = x.

5

E, F, and G are collinear and F is between E and G. If EG = 59 and EF = 8x-14 and FG = 4x+1, then x=

6

Find the distance given the following end points. (-4, 2) and (3, 2)

7

J, K, and L are collinear and K is between J and L. If JL = 120 and JK = 4x+6 and KL = 7x+15, then KL =

78

Find the distance given the following end points. (-3, 4) and (-5, 4)

8

Point A, B, and C are collinear. Point B is between A and C. BC = x-7, AB = x-2, and AC = 7. Find x.

8

Q is the midpoint of segment PR. If PQ = 6x-7 and QR = 5x+1, find PR

82

92

A is in the interior of ∠KJI. Find m∠IJA if m∠AJK = 61° and m∠IJK = 153°.

8 meters

A trapezoid has an area of 40 square meters. The bases are 2 meters and 8 meters. Determine the height of the trapezoid.

2 4 4 12

A trapezoid was broken into a rectangle and two equal triangles. The base of each triangle b is ____m. The area of the rectangle is ____m2. The area of each triangle is ____m2. The area of the trapezoid is ____m2.

3 inches

The irregular figure on the left has been decomposed into the figures on the right. What is the value of h, the height of the triangle?

7 centimeters

The irregular figure on the left has been decomposed into the figures on the right. What is the value of w, the width of the parallelogram?

Midpoint

The point that divides a segment into two congruent segments

$13,500

The pool at the hotel where Gabriel is staying is symmetrical and shaped like the letter "W" below. The bottom surface of the pool is flat and needs new tile. If each tile covers mc020-2.jpg of a square yard and costs $3, what is the cost of the tiles to retile the bottom of the pool?

$1,500

The school wants to order a new countertop for the teacher's lounge. The shape of the countertop that they are replacing is shown below. If the new countertop costs $0.75 per square inch, what is the price of the replacement countertop?

12 48 80 128

This figure was broken into a triangle and a parallelogram as shown. Irregular Figure Use the figures to complete the statements. The height of the triangle h is ____in. The area of the triangle is _____in.2. The area of the parallelogram is ____ in.2. The area of the irregular figure is _____ in.2.

128 in squared

What is the area of the regular trapezoid below?

144.5 square cm

What is the area of the triangle on the flag of Bosnia and Herzegovina?

192 cm squared

What is the area of this irregular figure?

16.5

What is the length of the support?

Hypotenuse

What is the longest side of a right triangle?

5.5

What is the measure of the missing side?

1 parallelogram and 1 rectangle

Which is a way to break the irregular figure into shapes that you have area formulas for?

3√10

Write in simplest radical form. √90

4√6

Write in simplest radical form. √96

7√2

Write in simplest radical form. √98

3√13

Write in simplest radical form.√117

6√2

Write in simplest radical form.√72

5√3

Write in simplest radical form.√75

32 cm squared

Calculate the area of this polygon.

110°

Find the measure of the indicated angle.

125°

Find the measure of the indicated angle.

80

Find the measure of the indicated angle.

84°

Find the measure of the indicated angle.

(-3,-3)

Find the midpoint of the following endpoints. (-1, -1) and (-5, -5)

(-1,2)

Find the midpoint of the following endpoints. (-4, 2) and (2, 2)

(2,-2)

Find the midpoint of the following endpoints. (-1, 1) and (5, -5)

x=-7

Find the value of x.

x=5

Find the value of x.

x=7

Find the value of x.

x=9

Find the value of x.

25 sq. inches

The hypotenuse of an isosceles right triangle is 10 cm. Find its area.

4√7

Write in simplest radical form. √112

5√5

Write in simplest radical form. √125

8√3

Write in simplest radical form. √192

6√6

Write in simplest radical form. √216

6√7

Write in simplest radical form. √252

4√2

Write in simplest radical form. √32

6√11

Write in simplest radical form. √396

2√10

Write in simplest radical form. √40

4√3

Write in simplest radical form. √48

Point A, B, and C are collinear. Point B is between A and C. Find AB if AC = x+3, BC = 1, and AB = 2x-7.

11

J, K, and L are collinear and K is between J and L. If JL = 120 and JK = 4x+6 and KL = 7x+15, then JL =

120

Points A, B, C, D, and E are collinear and in that order. Find AC if AE = x+50 and CE = x+32.

18

81 ft. sq.

Ahmad just bought a used sailboat with two sails that need replacing. How much sail fabric will Ahmad need if he replaces sail A?

24 32 56

An irregular figure was broken into a triangle and rectangle. The area of the triangle is _____in2. The area of the rectangle is ____in2. The area of the irregular figure is _____ in2.

17 sq. inches

Debra has two different square baking dishes. One has a side length of 8 inches, and the other has a side length of 9 inches. What is the difference in the area of Debra's two square baking dishes?

17.5 sq. units

Determine the area of the triangle.

A=1/2bh A=bh

Determining Area Formulas Needed Which formulas will you use to find the area of this irregular figure? Select all that apply.

Bisect

Divides a segments or angle into congruent segments or angles

140cm2

Find The Area. Height=14cm Base=20cm A TRIANGLE

54cm2

Find The Area. Height=36cm Base=3cm A Triangle

7.5in2

Find The Area. Height=3in Base=5in A TRIANGLE NOT A WHOLE NUMBER

45cm2

Find The Area. Height=45cm Base=2cm A Triangle

100cm2

Find The Area. Height=50cm Base=4cm A TRIANGLE

100π sq. units

Find the area of a circle whose circumference is 20π

84in2

Find the area. Height = 28in Base=6in. A TRIANGLE

26π units

Find the circumference of a circle whose area is 169π square units.

6.8

Find the distance between the 2 points shown.

7

Find the distance given the following end points. (5, 9) and (-7, -7)

5

Find the distance given the following end points. (-2, 1) and (1, 5)

4

Find the distance given the following end points. (-6, -10) and (-2, -10)

10

Find the distance given the following end points. (0, 0) and (6, 8)

112

Find the length of the missing side.

13

Find the length of the missing side.

17

Find the length of the missing side.

19

Find the length of the missing side.

23

Find the length of the missing side.

24

Find the length of the missing side.

25

Find the length of the missing side.

27

Find the length of the missing side.

323

Find the length of the missing side.

33

Find the length of the missing side.

35

Find the length of the missing side.

36

Find the length of the missing side.

37

Find the length of the missing side.

40

Find the length of the missing side.

421

Find the length of the missing side.

481

Find the length of the missing side.

5

Find the length of the missing side.

61

Find the length of the missing side.

84

Find the length of the missing side.

60°

Find the measure of the angle indicated in bold print.

80°

Find the measure of the angle indicated in bold print.

85°

Find the measure of the angle indicated in bold print.

90°

Find the measure of the angle indicated in bold print.

144 in squared

Giuliana built the side of a step stool, according to the plans shown below. If the figure is symmetrical, what is the area of the side of the step stool that she built, in square inches?

14

How long is the entire side labeled h?

9.2

How long is the missing side?

9.5

How long is the ramp?

32.5

How long is the rope with flags on it?

576 square inches

Joseph is painting the flag of Brunei (a country in Southeast Asia) for a geography project at school. How many square inches will he cover with white paint?

138 sq. ft.

Karen has a square vegetable garden that has a side length of 21.5 feet. If she increases the length of each of the sides of her garden by 3 feet, then by how many square feet does she increase the area of her garden?

6 bags

Kinu wants to buy topsoil for a section of her garden that has the dimensions shown in the figure. Each bag covers 2 square yards. How many bags of topsoil should Kinu buy?

48 units

The area of a rhombus is 72 square units. The distance between one set of parallel sides is 6 units. Find the perimeter of this rhombus.

35 in squared

Nikhil drew a picture of an open greeting card on his paper. mc015-1.jpg What is the total area of the drawing of the open greeting card?

50√3 square inches

One angle of a rhombus is 30° . The perimeter of the rhombus is 40 inches. Find the area of the rhombus.

50√2 square inches

One angle of a rhombus is 45° . The perimeter of the rhombus is 40 inches. Find the area of the rhombus.

15 ft. squared

The area of this trapezoid is...

Congruent Segments

Segments that have the same length

Coordinate

The Point that corresponds to one and ONLY one number on a ruler

5 inches

The area of a kite is 50 square inches. One diagonal is 20 inches. Find the length of the other diagonal.

240 sq. centimeters

The diagonal of a rectangle is 26 cm. and one side is 10 cm.. Find the area of this rectangle

300 sq. inches

The diagonals of a kite are 30 inches and 20 inches. Find the area of a kite.

84 2 $6.00

The diagram shows the dimensions of Mr. Green's garden. Irregular Figure A bag of fertilizer costs $3 and covers an area of about 50 square feet. What will be the cost for Mr. Green to fertilize his garden? The area of his garden is ___ ft2. Mr. Green will need___ bags of fertilizer. The cost will be $___.

75 ft squared

The diagram shows the dimensions of a wall in Luca's bedroom. Solving a Real-World Problem Luca wants to paint the back wall of his bedroom, and he needs to know the area to determine the amount of paint to buy. What is the area of the wall?

13

The diagram shows the layout of Lena's kitchen. She is planning to cover the floor with tile. Solving a Real-World Problem One package of tile will cover 3 square feet. How many packages of tile will she need?

1,000 220 1,220 10

The diagram shows the layout of the township playground. The playground committee is ordering rubber mulch to cover the playground surface. One ton of mulch will cover 122 square feet at the needed depth. How many tons of mulch should the committee order? The area of the rectangular section is ____ft2. The area of the triangular section is _____ ft2. The total area of the playground is ____ ft2. The committee should order _____ tons of mulch.

1,000 220 1,220 10

The diagram shows the layout of the township playground. The playground committee is ordering rubber mulch to cover the playground surface. Solving a Real-World Problem One ton of mulch will cover 122 square feet at the needed depth. How many tons of mulch should the committee order? The area of the rectangular section is ____ ft2. The area of the triangular section is ____ ft2. The total area of the playground is _____ ft2. The committee should order _____ tons of mulch.

A=(40)(25)+1/2 (22)(20)

The diagram shows the layout of the township playground. The playground committee is ordering rubber mulch to cover the playground surface. Which shows how to calculate the area of the playground?

18√3 sq. inches

The hypotenuse of a 30-60-90 triangle is 12 inches. Find its area.

8 48 216 264

This figure was broken into a triangle and a rectangle as shown. Irregular Figure Use the figures to complete the statements. The height of the triangle h is ____cm. The area of the triangle is _____cm2. The area of the rectangle is ____cm2. The area of the irregular figure is _____ cm2.

2

V is in the interior of ∠LMN. Find x if m∠LMN = 135°, m∠LMV = −1 + 45x, and m∠VMN = 23x.

2√15

Write in simplest radical form. √60

2√11

√44 Write in simplest radical form.