Free Printable Geometry Semester 2 Final Exam

1.

What is the name of this angle?

a)

$\angle ABO$

b)

$\angle OBA$

c)

$\angle AOB$

2.

What is the name of this?

a)

$\overrightarrow{VW}$

b)

$\overline{VW}$

c)

$\overleftarrow{V}\overrightarrow{W}$

3.

What is the name of this?

a)

$\overrightarrow{XY}$

b)

$\overline{XY}$

c)

$\overleftarrow{X}\overrightarrow{Y}$

4.

Find the slope given the points (-5,-3) and (2,4).

a)

5/4

b)

1/7

c)

-1

d)

1

5.

Find the slope given the points (2, −7) and (−1, 6).

a)

-13/3

b)

13/3

c)

0

d)

2/3

6.

If a pair of lines are perpendicular, and one has a slope of 3/2, what is the slope of the perpendicular line?

a)

$\frac{3}{2}$

b)

$\frac{2}{3}$

c)

$-\frac{2}{3}$

d)

$-\frac{3}{2}$

7.

Parallel lines have _________________ slope.

a)

The Same

b)

Opposite Reciprocal

8.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

9.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

10.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

11.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the other corner diagonally across the field. How far do the players run?

a)

105 meters

b)

79.4 meters

c)

210 meters

d)

150 meters

12.

What type of triangle do these measurements make: 6, 8, 12

a)

acute

b)

right

c)

obtuse

d)

not a triangle

13.

Find the area of the triangle.

a)

19.8 km²

b)

37.8 km²

c)

18.9 km²

d)

35 km²

14.

Find the area of the figure.

a)

A = 15 cm²

b)

A = 15 cm

c)

A = 16 cm²

d)

A = 8 cm²

15.

Jose lives next to a triangular park. He likes to take his dog for a walk around the park on the weekend. If he makes 3 trips around the park how far does he walk?

a)

17 units

b)

25 units

c)

51 units

d)

102 units

16.

Bonus Question! The rectangles below have the same area. What is the perimeter of the brown rectangle?

a)

$24m^2$

b)

$10m^2$

c)

$24m^{ }$

d)

$12m^{ }$

17.

Triangle RST has vertices R(1, 1), S(1, 4), and T(3, 1). Graph the figure and its rotated image after a counterclockwise rotation of 180° about the origin. What are the coordinates of Tʹ?

a)

(-3, -1)

b)

(-3,-2)

c)

(5,2)

d)

(5,4)

18.

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

a)

Translated 5 units down and 5 units to the right

b)

Translated 5 units down and 1 to the right

c)

Translated 8 units down and 5 units to the right

d)

Translated 5 units down and 4 units to the right

19.

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, 5)

c)

(-5, 3)

d)

(-3, 3)

20.

The image of the point (2, -7) reflected over the what line would be (-7, 2).

a)

x - axis

b)

y - axis

c)

y = x

d)

x = 1

21.

Determine whether the figure has line symmetry, rotational symmetry, both, or neither.

a)

Rotational

b)

Reflectional

c)

Both

d)

Neither

22.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Rotational

c)

None

23.

How many lines of symmetry does the picture have?

a)

0 lines of symmetry

b)

1 line of symmetry

c)

2 lines of symmetry

d)

3 lines of symmetry

24.

What order of rotation and angle of rotation does the picture have?

a)

Order = 1, 360⁰

b)

Order = 2, 180⁰

c)

Order = 3, 120⁰

d)

Order = 4, 90⁰

25.

Conditional Statement: If a doctor suspects her patient has a broken bone, then she should take an X-ray.

"If a doctor takes an X-ray, then she suspects her patient has a broken bone" is the ??? of the conditional.

a)

converse

b)

inverse

c)

contrapositive

d)

biconditional

26.

Conditional Statement: If a doctor suspects her patient has a broken bone, then she should take an X-ray.

"If a doctor does not suspect her patient has a broken bone, then she should not take an X-ray" is the ??? of the conditional.

a)

converse

b)

inverse

c)

contrapositive

d)

biconditional

27.

Conditional Statement: If a doctor suspects her patient has a broken bone, then she should take an X-ray.

"If a doctor does not take an X-ray, then she does not suspect her patient has a broken bone" is the ??? of the conditional.

a)

converse

b)

inverse

c)

contrapositive

d)

biconditional

28.

Which of the following is the CONVERSE of the statement below?

If you play football, then you wear

a uniform.

a)

If you wear a uniform, then you play football.

b)

If you do not play football, then you do not wear a uniform.

c)

If you do not wear a uniform, then you do not play football.

d)

There is no converse of the statement.

29.

Solve for x:

30.

B is the midpoint of AC. Find AB.

31.

If $JK=7$ and
$LJ=20$ , find $KL$

a)

12

b)

13

c)

27

d)

28

32.

Find the value of ∠A.

a)

39 degrees

b)

49 degrees

c)

51 degrees

d)

59 degrees

33.

If m∠ABC = 103° find x.

(a)

34.

1. Find X

a)

28

b)

5

c)

55

d)

40

35.

Find the value of x.

a)

15

b)

30

c)

45

d)

60

36.

Find the m∠1

a)

67

b)

113

c)

180

d)

23

37.

a)

15

b)

16

c)

18

d)

19

38.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

ASA

c)

AAS

d)

SAS

39.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SAS

b)

Not enough information

c)

SSS

d)

AAS

40.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

AAS

b)

SSS

c)

SAS

d)

SSA

41.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

ASA

b)

SAS

c)

AAS

d)

Not enough information

42.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by SSS

d)

No, this is the SSA one!!

43.

If a triangle has one angle exactly 90° and two equal sides, what type of triangle is it?

a)

Right Isosceles

b)

Acute Scalene

c)

Obtuse Scalene

d)

Obtuse Isosceles

44.

Classify the triangle by angles.

a)

acute

b)

obtuse

c)

right

d)

equiangular

45.

Find the largest angle in Δ PRQ

a)

∠R

b)

∠P

c)

∠Q

d)

∠S

46.

Find the measure of each angle indicated.

a)

50

b)

20

c)

29

d)

48

47.

Solve for x.

a)

x = 7

b)

x = 8

c)

x = 6

d)

x = 9

48.

State if the three numbers can be measures of the sides of a triangle.
$8,10,20$

a)

Yes

b)

No

49.

What type of angle pair is ∠1 and ∠5?

a)

alternate interior angles

b)

corresponding angles

c)

alternate exterior angles

d)

vertical angels.

50.

In the diagram, which of the following statements are false?

a)

∠1 and ∠4 are vertical angles

b)

∠4 and ∠5 are alternate interior angles

c)

∠1 and ∠8 are alternate interior angles

d)

∠2 and ∠6 are corresponding angles

51.

What is the value of x?

a)

70

b)

28

c)

140

d)

40

52.

If angle B measures 120 degrees, find the measure of angle Q.

a)

120 degrees

b)

-30 degrees

c)

60 degrees

53.

What is the value of x?

a)

13

b)

6.2

c)

29.8

54.

What is the mathematical name given for the line AB?

a)

Radius

b)

Diamter

c)

Tangent

d)

Chord

55.

Find the measure of arc JH

a)

93

b)

130

c)

120

d)

95

56.

Find the circumference of the circle.

a)

38.47 cm

b)

10.99 cm

c)

43.96 cm

d)

21.98 cm

57.

Find the area of the circle

a)

43.96

b)

153.86

c)

87.82

d)

307.72

58.

Find the measure of arc AB.

a)

17 degrees

b)

34 degrees

c)

68 degrees

d)

146 degrees

59.

Solve for m∠HGF.

a)

45°

b)

95°

c)

50°

60.

Solve for m∠TVU.

a)

150°

b)

16°

c)

75°

Geometry Semester 2 Final Exam

Total questions: 60

Worksheet time: 5hrs 0mins

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