Free Printable 2nd Semester Geometry review

1.

If ABCD is a parallelogram, what is the length of BD?

a)

10

b)

11

c)

7

d)

5

2.

A _________ is a type of __________.

a)

rhombus, parallelogram

b)

parallelogram, rhombus

c)

rhombus, rectangle

d)

quadrilateral, parallelogram

3.

The diagonals of a rhombus bisect at________.

a)

Right angle

b)

obtuse angle

c)

acute angle

4.

Solve for x in the rectangle.

a)

x=2

b)

x=7

c)

x=8

d)

x=3

5.

Given rectangle DEFG, if FD = 3x - 7 and EG = x + 5, find EG.

a)

6

b)

11

c)

7

d)

5

6.

What is the sum of the exterior angles of a 20-gon?

a)

180⁰

b)

360⁰

c)

3240⁰

d)

162⁰

7.

What is the measure of 1 INTERIOR angle of a 16-gon?

a)

2520⁰

b)

2880⁰

c)

22.5⁰

d)

157.5⁰

8.

What is the measure of each exterior angle of a regular octagon?

a)

45⁰

b)

360⁰

c)

1080⁰

d)

135⁰

9.

Find DG.

a)

14

b)

28

c)

12

d)

16

10.

If the measure of one angle of a regular polygon is 108^o, how many sides does it have?

a)

4

b)

5

c)

6

d)

7

11.

Find the value of x.

a)

x = 88

b)

x = 176

c)

x = 90

d)

x = 174

12.

What is the measure of angle 1?

a)

48⁰

b)

211⁰

c)

105.5⁰

d)

360⁰

13.

Find the value of x.

a)

360

b)

20

c)

260

d)

13

14.

How do you find the sum of the exterior angles of a polygon?

a)

180(n-2)

b)

180

c)

(180(n-2))/n

d)

360

15.

Determine if the triangles are similar. If they are, identify the triangle similarity theorem(s) that prove(s) the similarity.

a)

AA ~ Theorem

b)

SAS ~ Theorem

c)

SSS ~ Theorem

d)

Not similar

16.

Determine if the triangles are similar. If they are, identify the triangle similarity theorem(s) that prove(s) the similarity.

a)

AA ~ Theorem

b)

SAS ~ Theorem

c)

SSS ~ Theorem

d)

Not similar

17.

Determine if the triangles are similar. If they are, identify the triangle similarity theorem(s) that prove(s) the similarity.

a)

AA ~ Theorem

b)

SAS ~ Theorem

c)

SSS ~ Theorem

d)

Not similar

18.

Complete the similarity statement: △WYX ~ _______

a)

△WYZ

b)

△WZY

c)

△YZW

d)

△YWZ

19.

Complete the similarity statement: △ADB ~ _______

a)

△ACE

b)

△AEC

c)

△EAC

d)

△ECA

20.

The Angle-Angle Similarity (AA ~) Theorem states if two angles of one triangle are _______________ to two angles of another triangle, then the triangles are ____________________.

a)

adjacent; equal

b)

complementary; scalene

c)

congruent; similar

d)

supplementary; isosceles

21.

The Side-Side-Side Similarity (SSS ~) Theorem states if the corresponding sides of two triangles are _____________________, then the triangles are _________________.

a)

proportional; similar

b)

similar, proportional

c)

congruent; congruent

d)

equal; equilateral

22.

What is the value of the missing segment?

a)

15

b)

20

c)

6

d)

16

23.

Find the missing length indicated.

a)

16

b)

8

c)

10

d)

14

24.

Solve for x.

a)

8

b)

6

c)

5

d)

-8

25.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

26.

What is the ratio for Sine?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

27.

What is the ratio for Cosine?

a)

Opp/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Adj/Hyp

28.

Which is the correct applied ratio?

a)

A

b)

B

c)

C

d)

D

29.

What is the correct equation to solve for x?

a)

tan (45) = x/13

b)

cos (45) = x/13

c)

sin (45) = 13/x

d)

sin (45) = x/13

30.

What is the correct equation to solve for x ?

a)

tan (58) = x/11

b)

tan (58) = 11/x

c)

cos (58) = x/11

d)

sin (58) = x/11

31.

Find the value of x.

a)

10

b)

181

c)

34

d)

40

32.

Find the value of x. 14 and 18 represent the entire length of the chords

a)

√512

b)

√32

c)

√35

d)

√128

33.

Find the value of x.

a)

31.3

b)

8

c)

16.3

d)

-8

34.

a)

A

b)

B

c)

C

d)

D

35.

What is m∠ACB?

a)

67.5°

b)

90°

c)

22.5°

d)

45°

36.

What is the area of the shaded sector?

a)

$108\pi$ $in^2$

b)

$18\pi$ $in^2$

c)

$9\pi$ $in^2$

d)

None of the above

37.

Find the value of x.

a)

9

b)

64

c)

225

d)

15

38.

Find the value of x.

a)

45

b)

30

c)

20

d)

25

39.

Find the value of x.

a)

16

b)

9

c)

12

d)

10

40.

$S.A.\ =\ 2\pi r^2+2\pi rh$ in this picture $r=4,\ h\ =11$

What is the surface area of the cylinder?

a)

176π cm²

b)

376.8 cm³

c)

376.8 cm²

d)

120π cm²

41.

$S.A.=\frac{1}{2}\left(4\pi r^2\right)$

Find the surface area of the hemisphere (half a sphere)

a)

339.3 in²

b)

226.1in²

c)

113.0 in²

d)

452.2 in²

42.

The regular hexagonal pyramid has a lateral edge of 5 and a perimeter of 24. What is the volume of the pyramid?

a)

$24\sqrt[]{3}$

b)

$72\sqrt[]{3}$

c)

$36\sqrt[]{3}$

d)

$48\ \sqrt[]{3}$

2nd Semester Geometry review

Total questions: 42

Worksheet time: 3hrs 56mins

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