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1.

Given: ∠1 and ∠3 are vertical angles. What should you conclude by the vertical angles theorem?

a)

$\angle1$ and $\angle3$ are a linear pair

b)

undefined andundefined are right angles.

c)

$\angle2\cong\angle3$

d)

$\angle1\cong\angle3$

2.

Given: ∠1 and ∠2 are supplementary. What can you conclude?

a)

$m\angle1+m\angle2=180\degree$

b)

m\angle1+m\angle2=90\degree

c)

$m\angle1=m\angle2$

d)

Nothing

3.

What does it mean to bisect a segment or an angle?

a)

Split it into 3 equal parts.

b)

Split it into 2 equal parts.

c)

Split into 4 equal parts.

d)

Double it.

4.

In the given proof, what are the reasons for step 1 and 2?

a)

Angles that form a linear pair are supplementary.

b)

Substitution

c)

Reflexive Property of Congruence

d)

Angles of equal measure are congruent.

5.

In the given proof, what is the reason for step 1?

a)

Angles that form a linear pair are supplementary.

b)

Angles of Equal Measure are Congruent

c)

Reflexive Property of Congruence

d)

Definition of a Perpendicular Bisector

6.

In the given proof, what is the statement for step 2?

a)

Angles that form a linear pair are supplementary. $m∠1+m∠3=180°$

b)

$m∠3+m∠5=180°$

c)

$m∠1=m∠3$

d)

$\angle3\cong\angle5$

7.

In the given proof, what is the statement for step 2?

a)

$AD≅DB$

b)

$CD≅CD$

c)

$m\angle ADC+m\angle BDC=180\degree$

d)

$\angle ADC\cong\angle BDC$

8.

In the given proof, what are the reasons for steps 1 and 3?

a)

Alternate Exterior Angle are Congruent

b)

Reflexive Property of Congruence

c)

Angles that form a linear pair are supplementary.

d)

Alternate Interior Angles are Congruent.

9.

In the given proof, what is the reason for step 2?

a)

Alternate Exterior Angle are Congruent

b)

Reflexive Property of Congruence

c)

Angles that form a linear pair are supplementary.

d)

Alternate Interior Angles are Congruent.

10.

Why are these 2 triangles congruent, based on your proof?

a)

ASA

b)

SAS

c)

SSS

d)

Hypotenuse Leg Thm

11.

Since segment BD is part of both triangles, it is congruent to itself, what do we call this?

a)

Substitution

b)

Commutative

c)

Reflexive

d)

CPCTC

12.

Why are these 2 triangles congruent according to your proof?

a)

ASA

b)

SAS

c)

SSS

d)

Cannot be determined

13.

By what reasoning are the two triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

The triangles are not congruent.

14.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

15.

In the given proof, what is the reason for final step?

a)

Reflexive Property of Congruence

b)

Corresponding Parts of Congruent Triangles are Congruent

c)

Angles that form a linear pair are supplementary.

d)

Alternate Interior Angles are Congruent.

16.

In the given proof, what is the statement for step 4?

a)

$\angle2\cong\angle3$

b)

$m\angle1+m\angle4\ =180\degree$

c)

$\angle1\cong\angle4$

d)

$\Delta ABC\cong\Delta ACD$ .

17.

$\angle1$ and $\angle2$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

18.

This is what kind of angle?

a)

obtuse

b)

right

c)

straight

d)

acute

19.

Vertical angles are always

a)

acute

b)

total 180 degrees

c)

congruent (equal measures)

d)

adjacent angles

20.

Which angle is a vertical angle to with $\angle7$ ?

a)

$\angle1$

b)

$\angle5$

c)

$\angle3$

d)

$\angle6$

e)

$\angle9$

21.

1) Given the two parallel lines cut by a transversal.

What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

22.

2) Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

a)

$\angle1$ and $\angle6$

b)

$\angle6$ and $\angle5$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

23.

3) Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate interior angles?

a)

$\angle3$ and $\angle8$

b)

$\angle7$ and $\angle2$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

24.

4) Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate exterior angles?

a)

$\angle4$ and $\angle8$

b)

$\angle7$ and $\angle5$

c)

$\angle1$ and $\angle2$

d)

$\angle6$ and $\angle5$

25.

5) True or False.

If the following parallel lines are cut by a transversal, would

\angle2

and

\angle6

be corresponding?

a)

True

b)

False

26.

7) Given the following two parallel lines that have been cut by a transversal.

True or False, $\angle6$ and $\angle4$ are vertical angles?

a)

True

b)

False

27.

8) Given the following two parallel lines that have been cut by a transversal.

$\angle1$ and which angle make up Alternate Interior angles?

a)

\angle2

b)

$\angle6$

c)

$\angle5$

d)

$\angle3$

28.

9) Given the following two parallel lines that have been cut by a transversal.

Choose all the options that represent corresponding angles.

a)

\angle5

and

\angle3

b)

$\angle3$ and $\angle8$

c)

$\angle2$ and $\angle7$

d)

$\angle6$ and $\angle4$

29.

10)Given the two parallel lines cute by a transversal,

What is the measure of $\angle5$ ?

(a)

30.

11) Given the two parallel lines cut by a transversal,

What is the measure of $\angle4$ if $m\angle8=76\degree$ ?

(a)

31.

What type of angles are these?

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

32.

Which angles are vertical angles?

a)

$\angle8\ \ and\ \angle7$

b)

$\angle8\ and\ \angle6$

c)

$\angle8\ and\ \angle5$

33.

Which angle is a linear pair with $\angle1$ ?

a)

$\angle2$

b)

$\angle3$

c)

$\angle4$

d)

$\angle5$

e)

$\angle6$

34.

Which angles are non-adjacent with $\angle8$ ?
(mark all that apply)

a)

$\angle2$

b)

$\angle3$

c)

$\angle4$

d)

$\angle5$

e)

$\angle1$

35.

Which angle is a vertical angle to with $\angle7$ ?

a)

$\angle1$

b)

$\angle5$

c)

$\angle3$

d)

$\angle6$

e)

$\angle9$

36.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

e)

x = 62

37.

Find the missing angle. Find x.

a)

20^o

b)

70^o

c)

160^o

d)

180^o

38.

This is what kind of angle?

a)

obtuse

b)

right

c)

straight

d)

acute

39.

∠7 and ∠8 are _______________

a)

Vertical

b)

Nothing

c)

Adjacent

d)

Supplementary

40.

What angle is vertical to angle 2?

a)

∠4

b)

∠1

c)

∠2

d)

∠5

41.

Which are pairs of vertical angles?

a)

∠COB and ∠COA

b)

∠AOD and ∠AOC

c)

∠COB and ∠AOD

d)

∠BOD and ∠AOD

42.

Which are pairs of adjacent angles?

a)

∠COB and ∠DOA

b)

∠AOD and ∠AOC

c)

∠COB and ∠AOD

d)

∠BOD and ∠AOC

43.

Which names a pair of adjacent angles?

a)

∠CXD and ∠FXE

b)

∠CXF and ∠DXE

c)

∠CXD and ∠DXE

44.

Vertical angles are always

a)

acute

b)

total 180 degrees

c)

congruent (equal measures)

d)

adjacent angles

45.

What is the value of x?

a)

37

b)

72

c)

108

d)

18

46.

Which angle is a linear pair with $\angle5$ ?

a)

$\angle2$

b)

$\angle3$

c)

$\angle4$

d)

$\angle9$

e)

$\angle6$

47.

What type of angle is shown?

a)

acute

b)

obtuse

c)

right

d)

straight

48.

Which type of triangle is pictured?

a)

Equilateral Triangle

b)

Right Isosceles Triangle

c)

Obtuse Scalene Triangle

d)

Obtuse Equilateral Triangle

49.

Find the measure of each angle indicated.

a)

139°

b)

66°

c)

138°

d)

116°

50.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

51.

An angle whose measure is exactly 90 degrees.

a)

acute

b)

vertical

c)

right

d)

straight

52.

Solve for x.

a)

16

b)

11

c)

50

d)

6

53.

In a triangle, how many total degrees are there?

a)

100%

b)

180 degrees

c)

it varies

d)

360 degrees

54.

If two of the angles of a triangle are 30 and 70 degrees, the third angle measures...

a)

80

b)

100

c)

60

d)

90

55.

What is the third angle of a triangle whose 1st angle is 34 and 2nd angle is 101?

a)

32

b)

39

c)

45

d)

54

56.

What do the angles in an equilateral triangle measure?

a)

30, 60, 90

b)

45, 45, 90

c)

60, 60, 60

d)

35, 55, 90

57.

Which pair of angles is an example of corresponding angles?

a)

$\angle1\ and\ \angle8$

b)

$\angle3\ and\ \angle7$

c)

$\angle4\ and\ \angle5$

d)

$\angle2\ and\ \angle5$

58.

Which pair of angles is an example of alternate interior angles?

a)

$\angle1\ and\ \angle8$

b)

$\angle3\ and\ \angle7$

c)

$\angle4\ and\ \angle5$

d)

$\angle2\ and\ \angle5$

59.

Which pair of angles is an example of alternate exterior angles?

a)

$\angle1\ and\ \angle8$

b)

$\angle3\ and\ \angle7$

c)

$\angle4\ and\ \angle5$

d)

$\angle2\ and\ \angle5$

60.

Find $m\angle1.$

a)

$180\degree$

b)

$65\degree$

c)

$115\degree$

61.

Find $m\angle2.$

a)

$65\degree$

b)

$180\degree$

c)

$115\degree$

62.

Find $m\angle1.$

a)

$131\degree$

b)

$180\degree$

c)

$49\degree$

63.

Find $m\angle2.$

a)

$131\degree$

b)

$180\degree$

c)

$49\degree$

64.

Which statement is NOT true?

a)

Parallel lines have the same slope.

b)

Parallel lines intersect at one point.

c)

Perpendicular lines form a right angle.

65.

We assume that, since the lines are parallel, Corresponding Angles are congruent - for example $\angle5\cong\angle1$ . Check any box with Corresponding Angles.

a)

$\angle1\ and\ \angle2$

b)

$\angle2\ and\ \angle6$

c)

$\angle4\ and\ \angle8$

d)

$\angle3\ and\ \angle7$

66.

If $\angle5\ and\ \angle4$ are one pair of Alternate Interior Angles, name the other pair of Alternate Interior Angles

a)

$\angle3\ and\ \angle2$

b)

$\angle6\ and\ \angle8$

c)

$\angle3\ and\ \angle6$

d)

$\angle1\ and\ \angle9$

67.

What type of angles are these? (select 2)

a)

Adjacent Angles

b)

Vertical Angles

c)

Complementary Angles

d)

Supplementary Angles

68.

Which angles are vertical angles?

a)

$\angle8\ \&\ \angle7$

b)

$\angle8\ \&\ \angle6$

c)

$\angle8\ \&\ \angle5$

69.

Which angle is a vertical angle to with $\angle7$ ?

a)

$\angle1$

b)

$\angle5$

c)

$\angle3$

d)

$\angle6$

e)

$\angle9$

70.

Angle 1 and Angle 5 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

71.

Which of the following angles would NOT be congruent to the measure of $\angle7$ ?

a)

$\angle2$

b)

$\angle3$

c)

$\angle6$

d)

$\angle8$

72.

Which of the following is NOT an example of supplementary angles?

a)

$\angle7\ and\ \angle8$

b)

$\angle2\ and\ \angle3$

c)

$\angle1\ and\ \angle7$

d)

$\angle6\ and\ \angle4$

73.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

a)

$115\degree$

b)

$65\degree$

c)

$180\degree$

d)

Cannot be determined

74.

Angles 4 and 6 are...

a)

supplementary

b)

congruent

75.

Supplementary Angles add up to be ______-degrees

a)

270

b)

180

c)

90

d)

120

76.

Complementary Angles are two angles that add up to equal _____-degrees

a)

180

b)

90

c)

270

d)

120

77.

1) Given the two parallel lines cut by a transversal.

What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

78.

If the $m\angle5\ =\ 63\degree,$ find the measure of $\angle3.$

a)

$63\degree$

b)

$117\degree$

c)

$180\degree$

d)

Cannot be determined

79.

a)

41°

b)

65°

c)

102°

d)

115°

80.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

81.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

82.

An angle that is exactly 90 degrees.

a)

right

b)

acute

c)

obtuse

d)

straight

83.

An angle that is less than 90^o.

a)

right

b)

acute

c)

obtuse

d)

straight

84.

What is the value of x?

a)

38

b)

57

c)

76

d)

85

85.

Find the measure of the indicated angle.

a)

26

b)

36

c)

85

d)

144

86.

Find the measure of the indicated angle.

a)

95

b)

85

c)

35

d)

45

abdo

Total questions: 86

Worksheet time: 2hrs 49mins

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