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Geometry Review

Total questions: 30

Worksheet time: 8hrs 30mins

Name
Class
Date
1.

Which figure can be placed along the segment labeled x to correctly model the Pythagorean Theorem?

a)
b)
c)
d)
2.
Which set of side lengths does not form a right triangle?
a)
38, 80, 90
b)
16, 63, 65
c)
36, 77, 85
d)
14, 15, 29
3.
Do the segment lengths 9, 12, and 15 form a right triangle?
a)
Yes
b)
No
4.
If angle 8 is 63 degrees, how many degrees is angle 2?
a)
63 degrees because angle 8 & 2 are alternate exterior angles.
b)
117 degrees because angle 8 & 2 are supplementary.
c)
63 degrees because angle 8 & 2 are vertical angles.
d)
117 degrees because angle 8 & 2 are same side exterior angles.
5.
Name a pair of same side exterior angles.
a)
angle 1 & angle 2
b)
angle 2 & angle 7
c)
angle 1 & angle 7
d)
angle 2 & angle 8
6.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
7.

Two points are shown on a coordinate plane.

What is the distance between Point K and Point J?

a)

11

b)

13

c)

15

d)

17

8.

A pile of gravel is in the shape of a cone with a base diameter of 10 feet and a height of 4 feet.

If 1 cubic foot of gravel weighs 30 pounds, how much does the pile of gravel weigh? Round the answer to the nearest pound.

a)

3,142 pounds

b)

9,425 pounds

c)

12,566 pounds

d)

15,708 pounds

9.

A right triangle is shown.

What is the missing length? Round the answer to the nearest hundredth.

a)

9.25 km

b)

17.45 km

c)

24.17 km

d)

32.91 km

10.

In the diagram below, C̅D̅ is parallel to B̅E. Point B lies on A̅C̅ and Point E lies on A̅D̅.

Which statement about ΔABE and ΔACD is true?

a)

They are congruent because they have the same angle measurements and the same side lengths.

b)

They are similar because they have the same angle measurements.

c)

They are not congruent because they have different angle measurements.

d)

They are not similar because they have different side lengths.

11.

Find the volume

a)

1912 cm^3

b)

2785 cm^3

c)

3454 cm^3

d)

3687 cm^3

12.

Find the volume. Round to nearest hundredth

a)

340.17 ft^3

b)

450.13 ft^3

c)

130.18 ft^3

d)

440.17 ft^3

13.

Find the volume. Round to nearest tenth

a)

533.9 cm^3

b)

706.5 cm^3

c)

732.1 cm^3

d)

666.8 cm^3

14.

Find the volume. Round to the nearest tenth

a)

2.2 m^3

b)

4.2 m^3

c)

3.1 m^3

d)

3.7 m^3

15.

Find the volume. Round to nearest tenth

a)

654.1 in^3

b)

735.2 in^3

c)

773.0 in^3

d)

811.3 in^3

16.

Choose the answer that is closest to your calculation(yours will be a bit smaller)

a)

A

b)

B

c)

C

d)

D

17.

Select the answer closest to your calculation(yours will be bit smaller due to rounding pi)

a)

A

b)

B

c)

C

d)

D

18.
a)

A

b)

B

c)

C

d)

D

19.

a)

5 in

b)

6 in

c)

7 in

d)

8 in

20.

a)

1500 in^3

b)

3000 in^3

c)

7000 in^3

d)

13500 in^3

21.

a)

131.7 cm^3

b)

261.7 cm^3

c)

741.7 cm^3

d)

761.7 cm^3

22.

In surface area formulas, what does B represent?

a)

bottom

b)

perimeter of the base

c)

area of the base

d)

base

23.

What does "P" stand for in the surface area formulas?

a)

Perimeter of the area

b)

Parallel

c)

Perimeter of the Base

d)

Pi

24.

Which box would require the least amount of wrapping paper?

a)

Box A

b)

Box B

25.
Identify the transformation from C to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
26.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
27.
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
a)
(5,3)
b)
(20,12)
c)
(-20,-12)
d)
(-5,-3)
28.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
29.
If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, -5)
c)
(-5, 3)
d)
(-3, 3)
30.
Triangle ABC is going to be translated. Where would  A' position be at, if the translation was be (x,y) --> (x+3, y-2)?
a)
(-1,3)
b)
(5,3)
c)
(5,8)
d)
(3,5)