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Quiz: Pythagorean Theorem, Area/Perimeter, Transformations &

Total questions: 25

Worksheet time: 6hrs 15mins

Name
Class
Date
1.

Two joggers run 8 miles north and then 5 miles west. What is the shortest distance back to their starting point to the nearest tenth of a mile?

a)

13.3

b)

9.4

c)

6.2

d)

9

2.

Trista's TV screen is 17 inches long. If the diagonal measures 22 inches, how long is the width of the TV? Round to the nearest tenth

a)

5.0 in

b)

14.0 in

c)

10.2 in

d)

13.9 in

3.

Lisa drives her car 46 km south and then 13 km east. How far is she from her starting point?

a)

44.1 km

b)

59 km

c)

33 km

d)

47.8 km

4.

Madison is on the top of an 80 foot building. She is creating a zipline course to the ground with 100 feet of cable. How far from the base of the building will she need to anchor the cable to make the zipline cable tight?

a)

60 ft

b)

180 ft

c)

20 ft

d)

54 ft

5.

The Pythagorean Theorem ONLY works on which triangle?

a)

Obtuse

b)

Scalene

c)

Right

d)

Any triangle

6.

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

a)

111.8 yds

b)

127.3 yds

c)

115 yds

d)

119 yds

7.

Larry attached a string from the top of the flagpole to the ground. The flagpole is 26 feet high and the string is 18 feet away from the flagpole. How long is the string?

a)

352 ft

b)

44 ft

c)

31.6 ft

d)

28.3 ft

8.

When you dilate the figure by a scale factor of 3, what is the location of B'?

a)

(12, 0)

b)

(4, 3)

c)

(12, 12)

d)

(0, 12)

9.

What is this picture an example of?

a)

Reflection

b)

Rotation

c)

Dilation

d)

A cat vertex

10.

Identify the transformation from ABCD to A'B'C'D'.

a)

90 degree counter clockwise rotation

b)

Rotation

c)

Reflection over the y-axis

d)

Translation

11.

Identify the transformation from ABC to A'B'C'.

a)

90 degree clockwise rotation

b)

reflection across the y-axis

c)

reflection across the x-axis

d)

90 degree counter clockwise rotation

12.

Which picture shows a TRANSLATION?

a)
b)
c)
d)
13.

Triangle A is rotated 90° clockwise about the origin as the center of rotation to create a new figure. Which triangle shows the new location?

a)

A

b)

B

c)

C

d)

D

14.

If the m∠7 = 115°,
  find the measure of  
∠2.
 

a)

115

b)

110

c)

180

d)

45

15.

Find the value of x if

m∠1 = 11x − 9°

and the

m∠5 = 7x +9°

a)

2.6

b)

4.5

c)

5

d)

7

16.

The angle relationship shown is -

a)

complementary angles

b)

vertical angles

c)

adjacent angles

d)

supplementary angles

17.

Find the measure of the missing angle.

a)

90

b)

130

c)

50

d)

60

18.

What is the degree of the missing angle?

a)

6

b)

50

c)

40

d)

12

19.

 ∠JHG \angle JHG\   measures 161 °\degree  
Find  m∠GHK and m∠KHJm\angle GHK\ and\ m\angle KHJ  

a)

 m∠GHK = 80.5, m∠KHJ = 161m\angle GHK\ =\ 80.5,\ m\angle KHJ\ =\ 161  

b)

 m∠GHK = 80.5, m∠KHJ = 80.5m\angle GHK\ =\ 80.5,\ m\angle KHJ\ =\ 80.5  

c)

 m∠GHK = 161, m∠KHJ = 80.5m\angle GHK\ =\ 161,\ m\angle KHJ\ =\ 80.5  

20.

Using the formula for the area of a rectangle, solve for the area of the rectangle.

a)

19 cm2 19\ cm^{2\ }

b)

38 cm2 38\ cm^{2\ }

c)

80.64 cm2 80.64\ cm^{2\ }

d)

19.26 cm2 19.26\ cm^{2\ }

21.

 Solve for the perimeter of the rectangle.

a)

19 cm2 19\ cm^{2\ }

b)

38 cm2 38\ cm^{2\ }

c)

80.64 cm2 80.64\ cm^{2\ }

d)

19.26 cm2 19.26\ cm^{2\ }

22.

solve for the area of the triangle.

a)

24 cm2 24\ cm^{2\ }

b)

60 cm2 60\ cm^{2\ }

c)

48 cm2 48\ cm^{2\ }

d)

30 cm2 30\ cm^{2\ }

23.

solve for the perimeter of the triangle.

a)

24 cm2 24\ cm^{2\ }

b)

60 cm2 60\ cm^{2\ }

c)

 26 cm2 26\ cm^{2\ } 

d)

30 cm2 30\ cm^{2\ }

24.

Find the perimeter of the following rectangle.

a)

24 cm

b)

22 cm

c)

11 cm

d)

10 cm

25.

Find the area of the following rectangle.

a)

24 cm2

b)

22 cm2

c)

11 cm2

d)

10 cm2