Free Printable Geometry Semester Review

1.

In the figure, RS bisects DE at S. For each of the following, find the value of x.

DS = x + 8 and DE = 48

(a)

2.

Given that m∠1 = (2x + 22)°, m∠2 = (4x – 10)°, and m∠ADC = 78°, what is m∠1?

(a)

3.

If DB bisects ∠ADC and m∠1 = 55°, then m∠2 is:

(a)

4.

If DB bisects ∠ADC, m∠1 = (3x + 4)°, and m∠2 = (7x – 4)°, find x.

(a)

5.

In the diagram at right, m∠1 = (5x + 10)° and m∠2 = (x + 20)°. The value of x is:

(a)

6.

In the diagram below, the value of x is:

(a)

7.

In the diagram, find m∠2 if m∠1 = (6x)° and m∠2 = (3x)°.

(a)

8.

In the diagram below, m∠AOB = 120°. If m∠1 = (3x)°, m∠2 = (x + 10)°, and m∠3 = x°. Find the value of x.

(a)

9.

A ray that divides an angle into two congruent angles is a(n):

a)

Angle bisector

b)

Perpendicular bisector

c)

Median

d)

Altitude

10.

A pair of angles that have a common vertex and side, but no common interior points are:

a)

Vertical angles

b)

Adjacent angles

c)

Complementary angles

d)

Supplementary angles

11.

Two non-adjacent angles formed by two intersecting lines are:

a)

Vertical angles

b)

Adjacent angles

c)

Complementary angles

d)

Supplementary angles

12.

Use the rectangular prism at right to answer: A segment parallel to AB.

a)

CG

b)

AD

c)

BC

d)

EF

13.

Use the rectangular prism at right to answer: A segment skew to AE.

a)

CG

b)

AD

c)

HD

d)

BC

14.

Classify triangle AXS by sides.

a)

scalene

b)

isosceles

c)

right

d)

equilateral

15.

Use the figure at right to classify triangle ABC by its angles.

a)

acute

b)

right

c)

obtuse

d)

equiangular

16.

Use the figure at right to classify triangle AEC by its angles.

a)

acute

b)

right

c)

obtuse

d)

equiangular

17.

Find the value of x in the triangle with angles 80° and 140°.

a)

40°

b)

80°

c)

70°

d)

60°

18.

How many lines of symmetry does the figure below have?

a)

0

b)

1

c)

2

d)

4

19.

Find the value of x.

a)

53

b)

74

c)

106

d)

28

20.

BD is an altitude in △ABC, find the value of x if m∠ADB = (4x - 14)°.

a)

90

b)

38

c)

19

d)

26

21.

Find the midpoint of the line segment with the given endpoints (-2,-6) and (8,8)

a)

(-4,8)

b)

(18,22)

c)

(3,1)

d)

(-5,-7)

22.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

23.

RM=

a)

RM=6

b)

RM=3

c)

RM=12

d)

RM=9

24.

This point divides a line segment into 2 equal parts.

a)

point

b)

vertex

c)

midpoint

d)

segment

25.

Find the supplementary angle for 104 degrees...

a)

70 degrees

b)

74 degrees

c)

76 degrees

26.

Complementary angles are angles that together equal

a)

180 degrees

b)

90 degrees

c)

45 degrees

d)

100 degrees

27.

Find the missing angle.

a)

53

b)

67

c)

77

d)

43

28.

What is the complement of an angle whose measurement is 84 degrees?

a)

96 degrees

b)

6 degrees

c)

86 degrees

d)

16 degrees

29.

Solve

a)

50°

b)

58°

c)

115°

d)

226°

30.

∠t = ∠______

a)

∠STV

b)

∠VUT

c)

∠STU

d)

∠VTU

31.

Given the conditional;

"If Jose eats fish, then he has an allergic reaction"

Which of the following is the converse?

a)

None of these

b)

If Jose doesn't have an allergic reaction, then he didn't eat fish.

c)

If Jose doesn't eat fish, then he doesn't have an allergic reaction.

d)

If Jose has an allergic reaction, then he ate fish.

32.

Given the conditional;

"If it is a duck then it has a beak."

Which is the converse?

a)

If isn't not a duck, then it doesn't have a beak.

b)

If it is a duck, then it quacks.

c)

If it doesn't have a beak, then it's not a duck.

d)

If it has a beak, then it is a duck.

33.

What is the value of x?

a)

x = 2

b)

x = 10

c)

x = 16

d)

x = 54

34.

Which of these lengths CANNOT represent the sides of a triangle?

a)

32, 34, 60

b)

28, 30, 58

c)

13, 20, 27

d)

2, 4, 5

35.

Which of the following would NOT work to make a triangle with the two side lengths of 2 and 6?

a)

6

b)

7

c)

5

d)

4

36.

Points on the same line are called _________points

a)

Collinear Lines

b)

Collinear Points

c)

Dots on a line

d)

Straight Points

37.

Solve for x.

a)

16

b)

11

c)

50

d)

6

38.

Find the measure of the indicated angle.

a)

26°

b)

36°

c)

85°

d)

144°

39.

What type of angles are these?

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

40.

Which angles are vertical angles?

a)

$\angle8\ \ and\ \angle7$

b)

$\angle8\ and\ \angle6$

c)

$\angle8\ and\ \angle5$

41.

What angle corresponds to $\angle7$ ?

a)

$\angle4$

b)

$\angle5$

c)

$\angle8$

d)

$\angle7$

42.

What angle corresponds to $\angle3$ ?

a)

$\angle4$

b)

$\angle5$

c)

$\angle8$

d)

$\angle7$

43.

Vertical angles are always

a)

acute

b)

total 180 degrees

c)

congruent (equal measures)

d)

adjacent angles

44.

Which term describes angles 1 and 2?

a)

supplementary

b)

complementary

c)

vertical

d)

congruent

45.

What does this represent?

a)

intersects

b)

perpendicular

c)

parallel

d)

left turn

46.

What does this represent?

a)

similar

b)

congruent

c)

same size

d)

triangle

47.

Given: B is the midpoint of AC. What should you conclude?

a)

AB + BC = AC

b)

AB = BC

c)

A is the segment bisector of BC

d)

ABC is a straight angle

48.

The sum of the angles of a triangle is

a)

180

b)

360

c)

90

d)

60

49.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

50.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Correpsonding

d)

Vertical Angles

51.

Name the angle relationship.

a)

Consecutive Interior

b)

Alternate Interior

c)

Corresponding

d)

Vertical Angles

52.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

53.

Find the measure of angle 1.

a)

28^o

b)

136^o

c)

44^o

d)

6^o

54.

Solve for y.

a)

y = 20

b)

y = 120

c)

y = 60

d)

y = 10

55.

Slopes of perpendicular lines are...

a)

negative reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

56.

Slopes of parallel lines are...

a)

negative reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

57.

Find the measure of the indicated angle.

a)

145

b)

113

c)

102

d)

78

58.

Find the measure of the indicated angle.

a)

80

b)

58

c)

42

d)

138

59.

Triangle ABC has vertices A (-2, 2), B (2, 4) and C (3, -1). What are the coordinates of A' after a dilation by a scale factor of 2.5?

a)

(-5, 5)

b)

(5, -5)

c)

(5, 10)

d)

(7.5, -2.5)

60.

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)

Geometry Semester Review

Total questions: 60

Worksheet time: 5hrs 48mins

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