Free Printable 2nd Semester Geometry Final Exam Review

1.

Write the equation of the line parallel to y = 4x + 3 and passing through the point (-4, -5)

a)

y = - 1/4x - 6

b)

y = - 1/4x + 8

c)

y = 4x -2

d)

y = 4x + 11

2.

What is the measure of the exterior angle?

a)

9

b)

52

c)

28

d)

15

3.

Find the midpoint between G( -1, 2) and H( -3, - 4)

a)

$\left(\frac{1}{2},-\frac{7}{2}\right)$

b)

$\left(-2,-1\right)$

c)

$\left(-4,-2\right)$

d)

$\left(1,3\right)$

4.

Which of the following can be used to prove the triangles congruent?

a)

SSS

b)

ASA

c)

SAS

d)

SSA

5.

Find the value of x.

a)

10

b)

29

c)

23

d)

35

6.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

7.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

8.

What is the slope of the line that passes through the following points:
(9, 3) and (7, 8).

a)

6

b)

3

c)

-5/2

d)

6

9.

Find the exterior angle

a)

100

b)

55

c)

45

d)

80

10.

The figure is a parallelogram.
Solve for x.

a)

1

b)

11

c)

7

d)

6

11.

Write an equation of a line that passes through the point (-2, 4) and is perpendicular to the line y = 2x − 8.

a)

$y=2x+8$

b)

$y=-\frac{1}{2}x-3$

c)

$y=2x$

d)

$y=-\frac{1}{2}x+3$

12.

Determine if the following numbers can represent the side lengths of a triangle. If so, determine if the triangle is acute, obtuse or right.

4, 7, 10

a)

Acute Triangle

b)

Obtuse Triangle

c)

Right Triangle

d)

No Triangle can be Formed

13.

A ladder leans against a brick wall. The foot of the ladder is 6 feet from the wall. The ladder reaches a height of 15 feet on the wall. Find to the nearest degree, the angle the ladder makes with the wall.

a)

$22\degree$

b)

$66\degree$

c)

$24\degree$

d)

$37\degree$

14.

The triangles are similar. Find the value of x.

a)

A

b)

B

c)

C

d)

D

15.

Write the equation of the line parallel to y = 4x + 3 and passing through the point (-4, -5)

a)

y = -1/4x - 6

b)

y = -1/4x + 8

c)

y = 4x - 2

d)

y = 4x + 11

16.

Solve for x

a)

19

b)

6

c)

38

d)

32

17.

What is the distance between (3,1) and (6, 8)

a)

12.73

b)

18

c)

3.16

d)

7.07

18.

Which of the following is NOT an acceptable way to prove triangles congruent?

a)

SSS

b)

ASA

c)

AAA

d)

SAS

19.

What is the value of angle F?

a)

9

b)

12

c)

90

d)

110

20.

What is the length of BC?

a)

6

b)

31

c)

29

d)

11

21.

The figure is a parallelogram.
Solve for x.

a)

7

b)

1

c)

5

d)

2

22.

Find the value of x:

a)

58.3

b)

1.7

c)

21

d)

18

23.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

24.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

25.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

26.

Solve for X.

a)

100°

b)

110°

c)

150°

d)

168°

27.

What is the name of this polygon?

a)

a pentagon

b)

a quadrilateral

c)

an octagon

d)

a triangle

28.

Find the angle sum of the polygon.

a)

720°

b)

900°

c)

1080°

d)

1260°

29.

The cube has a side length of 7 inches. What is its volume?

a)

343

b)

21

c)

49

d)

294

30.

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

a)

$135\degree$

b)

$1080\degree$

c)

$60\degree$

d)

$45\degree$

31.

Find missing side

a)

5

b)

7

c)

9

d)

11

32.

Use the figure to solve for x

a)

13

b)

12

c)

15

d)

14

33.

What does congruent mean?

a)

Same shape, different size

b)

Not same shape, or size

c)

Same size, same shape

34.

Solve for x.

a)

5

b)

16.97

c)

17.69

d)

25

35.

a)

A

b)

B

c)

C

d)

D

36.

Find the value of x in the diagram.

a)

10

b)

4

c)

6

d)

7

37.

True or false: The pythagorean theorem works for all triangles.

a)

True

b)

False, only works for right angles

c)

False, only works for acute angles

d)

False, only works for quadrilaterals

38.

The exterior angles of a polygon add up to __________________.

a)

180

b)

(n - 2)*180

c)

360

d)

(n - 2)*360

39.

The interior angles of a polygon add up to equal ___________________.

a)

360

b)

(n - 2)*180

c)

(n - 2)*360

d)

180

40.

Which number is a square root of 400?

a)

400

b)

200

c)

40

d)

20

41.

A right triangle has a hypotenuse of 15m and one of the sides is 9m. What is the length of the missing side?

a)

6m

b)

8m

c)

4m

d)

12m

42.

A triangle has sides of 48mm, 55mm and 73mm. Is it a right triangle?

a)

Yes, because 48²+55² = 73².

b)

Yes, because 48+55>73.

c)

No, because 48+55 does not equal 73

d)

No, because we do not know which is the hypotenuse.

43.

Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.

N ( -4, -3 )

J ( -2, -5 )

a)

2

b)

2.8

c)

10

d)

5.3

44.

If the sum of the interior angles of a polygon equals 900°, how many sides does the polygon have?

a)

7

b)

9

c)

10

d)

12

45.

What is the sum of the exterior angles of a decagon

a)

1440

b)

360

c)

540

d)

720

46.

Find the sum of interior angles in a heptagon

a)

900

b)

720

c)

540

d)

180

47.

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

a)

180

b)

360

c)

3240

d)

162

48.

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

a)

135

b)

180

c)

145

d)

190

49.

The measures of one interior angle of a regular polygon is 140^o. What is the name of the polygon?

a)

Decagon

b)

Nonagon

c)

Heptagon

d)

Hexagon

50.

Do the segment lengths 15, 12, and 9 form a right triangle?

a)

Yes

b)

No

c)

Maybe

d)

Pythagoras

51.

Solve the proportion.
____ = ____

a)

p=31.3

b)

p=308

c)

p=924

d)

p=532

52.

How can a square be classified? Select ALL that apply.

a)

Rectangle

b)

Parallelogram

c)

Rhombus

d)

Trapezoid

53.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

54.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

55.

Does a triangle with these side lengths exist?
18, 22, 5

a)

Yes

b)

No

c)

I don't know.

56.

Which is NOT a property of a parallelogram?

a)

Diagonals bisect each other

b)

Diagonals are congruent

c)

Both pairs of opposite sides are parallel

d)

Both pairs of opposite angles are congruent

57.

Which shape is NOT a type of parallelogram?

a)

trapezoid

b)

rectangle

c)

rhombus

d)

square

58.

The figure is a parallelogram.
Solve for x.

a)

7

b)

2

c)

0

d)

4

59.

A rhombus is a parallelogram.

a)

Always

b)

Sometimes

c)

Never

60.

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

a)

10

b)

11

c)

7

d)

5

61.

LMNO is a parallelogram
solve for X

a)

19

b)

20

c)

33

d)

53

62.

If PN = 2x + 5, ON = x + 3, and OS = 3x - 2. Solve for PS.

a)

7 units

b)

10 units

c)

17 units

d)

19 units

63.

In order to show a figure is a square, you need to show it is a ...

a)

Rhombus

b)

Rectangle

c)

Parallelogram

d)

Parallelogram, Rhombus AND Rectangle

64.

$\sqrt{120}$

a)

$2\sqrt{30}$

b)

$4\sqrt{30}$

c)

$\sqrt{12}\sqrt{10}$

d)

$24\sqrt{5}$

65.

Simplify $\sqrt{125}$

a)

$3\sqrt{5}$

b)

$5\sqrt{5}$

c)

$3\sqrt{25}$

d)

$5\sqrt{3}$

66.

Simplify $\sqrt{32}$

a)

$2\sqrt{8}$

b)

$4\sqrt{2}$

c)

$16\sqrt{2}$

d)

$2\sqrt{4}$

67.

$\sqrt{75}$

a)

$5\sqrt{3}$

b)

$3\sqrt{5}$

c)

$25\sqrt{3}$

d)

$5\sqrt{15}$

68.

$\sqrt{80}$

a)

$4\sqrt{5}$

b)

$5\sqrt{4}$

c)

$16\sqrt{5}$

d)

$2\sqrt{20}$

69.

If ∆XYZ ≅ ∆KLM, then
∠Y≅ _____

a)

∠K

b)

∠M

c)

∠L

d)

∠Z

70.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

71.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

72.

a = 2.1, b = 7.2,
c = 7.5
Is this a right triangle?

a)

yes

b)

no

73.

The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
11, 12, 15

a)

right

b)

obtuse

c)

acute

74.

Find the measure of $\overline{QA}$

a)

4

b)

-4

c)

16

d)

28

75.

Find the missing length if the proportion is $\frac{12}{x}=\frac{20}{25}$

a)

25

b)

15

c)

6

d)

16

2nd Semester Geometry Final Exam Review

Total questions: 75

Worksheet time: 2hrs 21mins

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