Free Printable Angles and Congruency

1.

An acute angle is

a)

More than 90⁰

b)

Equal to 90⁰

c)

Equal to 180⁰

d)

Less than 90⁰

2.

An angle that measures 180⁰is called a (a) angle.

3.

If angle 4 measures 60⁰ how big is angle 1?

a)

60⁰

b)

120⁰

c)

180⁰

d)

90⁰

4.

An angle that is equal to 90⁰ is called a(n)

a)

Acute Angle

b)

Obtuse Angle

c)

Reflex Angle

d)

Right Angle

5.

The complement of 35⁰

(a)

6.

An angle that is more than 180⁰ is called a(n)

a)

Acute Angle

b)

Obtuse Angle

c)

Reflex Angle

d)

Right Angle

7.

The supplement of 50⁰

(a)

8.

Two angles that add up to 180⁰ are called (a) .

9.

An angle that is more than 90⁰ but less than 180⁰ is called a(n)

a)

Acute Angle

b)

Obtuse Angle

c)

Reflex Angle

d)

Right Angle

10.

Two angles that add up to 90⁰ are called (a) angles.

11.

An angle that is equal to 180⁰ is called a(n)

a)

Acute Angle

b)

Obtuse Angle

c)

Straight Angle

d)

Right Angle

12.

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

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

(a)

13.

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

What is the measure of $\angle5$ ?

(a)

14.

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 $\angle8$

15.

∠2 & ∠6 are...

a)

Supplementary angles

b)

Vertical angles

c)

Corresponding angles

d)

Alternate interior angles

16.

Angle 1 = 27^oFind the measure of angle 4

a)

27^o

b)

153^o

c)

63^o

d)

90^o

17.

∠1 and ∠4

a)

Vertical Angles

b)

Linear Pair

c)

Corresponding Angles

d)

Transversal

18.

Choose the correct term described: A connected straight path that has no thickness and extends in opposite directions.

a)

Point

b)

Segment

c)

Line

d)

Plane

19.

Find the m∠1

a)

67

b)

113

c)

180

d)

23

20.

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

a)

Alternate Angles

b)

Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

21.

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

a)

$\angle1$

b)

$\angle5$

c)

$\angle3$

d)

$\angle6$

e)

$\angle9$

22.

Supplementary angles always add up to

(a)

23.

Find the value of x.

a)

x = 10

b)

x = 20

c)

x = 720

d)

x = 5

24.

Find D

a)

∠D=116°

b)

∠D=64°

c)

∠D=180°

d)

∠D=26°

25.

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

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

(a)

26.

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

What is the measure of $\angle5$ ?

(a)

27.

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

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

(a)

28.

∠2 & ∠6 are...

a)

Supplementary angles

b)

Vertical angles

c)

Corresponding angles

d)

Alternate interior angles

29.

Angle 1 = 27^oFind the measure of angle 4

a)

27^o

b)

153^o

c)

63^o

d)

90^o

30.

∠1 and ∠4

a)

Vertical Angles

b)

Linear Pair

c)

Corresponding Angles

d)

Transversal

31.

Find the m∠1

a)

67

b)

113

c)

180

d)

23

32.

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

a)

$\angle2$

b)

$\angle3$

c)

$\angle6$

d)

$\angle8$

33.

Find D

a)

∠D=116°

b)

∠D=64°

c)

∠D=180°

d)

∠D=26°

34.

Two figures or objects are congruent if they have the same size and shape.

a)

True

b)

False

35.

How are the triangles congruent?

a)

HL

b)

SSS

c)

SAS

d)

AAS

36.

a)

Congruent by ASA

b)

Congruent by SAS

c)

Congruent by SSS

d)

Not Necessarily Congruent

37.

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

a)

SSS

b)

ASA

c)

AAS

d)

SAS

38.

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

a)

SAS

b)

SSS

c)

ASA

d)

HL

39.

a)

11

b)

12

c)

14

d)

13

40.

a)

30

b)

25

c)

15

d)

20

41.

Find the value of x.

a)

13

b)

8.6

c)

5

d)

130

42.

Find the value of x.

Be careful these are adjacent not vertical.

a)

14

b)

112

c)

108

d)

104

43.

What is the value of y? Hint...angles at a point add to $360\degree$

a)

y = 28

b)

y = 29

c)

y = 87

d)

y = 43.5

44.

What is the measure of angle y?

a)

$32\degree$

b)

$58\degree$

c)

$90\degree$

d)

$33\degree$

45.

What is the value of x?

a)

$45\degree$

b)

$43\degree$

c)

$90\degree$

d)

$45\degree$

46.

Find the value of x.

a)

15

b)

30

c)

45

d)

60

47.

Tell whether the angles are complementary or supplementary. Then find the value of x.

a)

Complementary; x=25

b)

Complementary; x=5

c)

Supplementary; x=25

d)

Supplementary; x=5

48.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

49.

Are these angles complementary, supplementary or neither?

a)

complementary

b)

supplementary

c)

neither

50.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

51.

What angle is vertical to angle 2?

a)

∠4

b)

∠1

c)

∠2

d)

∠5

52.

This is what kind of angle?

a)

obtuse

b)

right

c)

straight

d)

acute

53.

Find the missing angle. Find x.

a)

20^o

b)

70^o

c)

160^o

d)

180^o

54.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

55.

Find the missing angle.

a)

36

b)

38

c)

26

d)

24

56.

Find the missing angle.

a)

70

b)

50

c)

30

d)

40

57.

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

a)

SAS

b)

SSS

c)

ASA

d)

HL

58.

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

a)

SSS

b)

ASA

c)

AAS

d)

SAS

59.

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

a)

AAS

b)

SSS

c)

SAS

d)

SSA

60.

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

a)

SSS

b)

SAS

c)

ASA

d)

NONE

61.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

62.

How are the triangles congruent?

a)

HL

b)

SSS

c)

SAS

d)

AAS

63.

$\Delta BIG\cong\Delta LAD$ , which side is congruent to $\overline{BG}$ ?

a)

$\overline{BI}$

b)

$\overline{LA}$

c)

$\overline{AD}$

d)

$\overline{LD}$

64.

If $\Delta GAM\cong\Delta ERS$ , what angle is congruent to $\angle RES$ ?

a)

$\angle GAM$

b)

$\angle AGM$

c)

$\angle GMA$

d)

$\angle MAG$

65.

What is the name of the triangle congruent to $\Delta RPE$ ?

a)

$\Delta CFT$

b)

$\Delta FTC$

c)

$\Delta TFC$

d)

$\Delta FCT$

66.

What postulate or theorem proves that $\Delta ALE\cong\Delta RTE$ ?

a)

AAS

b)

ASA

c)

SAS

d)

SSS

67.

What triangle is congruent to $\Delta ALT$ ?

a)

$\Delta LRT$

b)

$\Delta RTL$

c)

$\Delta TLR$

d)

$\Delta TEL$

68.

What triangle congruence postulate or theorem justifies the congruency of $\Delta RTO\ and\ \Delta BSO$ ?

a)

AAS

b)

ASA

c)

SAS

d)

SSS

69.

What triangle congruence postulate or theorem justifies the congruency of $\Delta IEL\cong\Delta EIF$ ?

a)

AAS

b)

ASA

c)

SAS

d)

SSS

70.

What parts of the triangles must be marked so that the triangles are congruent via SAS?

a)

$\angle B\ and\ \angle P$

b)

$\angle A\ and\ \angle E$

c)

$\angle G\ and\ \angle N$

71.

What parts of the triangles must be marked so that $\Delta HOE\ and\ \Delta POE$ are congruent via AAS Theorem?

a)

$\angle H\ and\ \angle P$

b)

$\angle HEO\ and\ \angle PEO$

c)

$\overline{HO}\ and\ \overline{PO}$

d)

$\overline{HE}\ and\ \overline{PE}$

72.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

73.

What missing piece of information is needed to prove the triangles congruent using ASA?

a)

GC = CD

b)

CE = CD

c)

∠GCE≅∠BCE

d)

BD = GE

74.

Which of the following cannot be used to prove triangles congruent?

a)

HL

b)

AAA

c)

SSS

d)

SAS

75.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

76.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

77.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

AAS

d)

Not Possible

78.

∠A ≅∠?

a)

∠B

b)

∠E

c)

∠D

d)

∠F

79.

Figures that have the same _____ and size are congruent triangles.

a)

corresponding

b)

corners

c)

angles

d)

shape

80.

a)

4m

b)

5m

c)

3m

d)

4.5m

Angles and Congruency

Total questions: 80

Worksheet time: 3hrs 44mins

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