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Triangle Congruence

Total questions: 45

Worksheet time: 46mins

Name
Class
Date
1.

Are these triangles congruent? If so, by which postulate?

a)

Yes, SAS

b)

Yes, SSS

c)

Yes, HL

d)

No.

2.

What type of triangle is this?

a)

Acute Triangle

b)

Right Triangle

c)

Obtuse Triangle

d)

Equiangular

3.

What type of triangle is this?

a)

Acute Triangle

b)

Right Triangle

c)

Obtuse Triangle

d)

Equiangular Triangle

4.

A triangle with 3 congruent sides is called

a)

Equiangular

b)

Isosceles

c)

Equilateral

d)

Scalene

5.

What is the perimeter of this triangle?

a)

32 sq cm

b)

120 cm

c)

12 cm

d)

32 cm

6.

What type of triangle is this?

a)

Right

b)

Isosceles

c)

Scalene

d)

Equilateral

7.

What is the measure of Angle C?

a)

90

b)

68

c)

70

d)

72

8.

The Triangle Sum Theorem states that the sum of the measures of a triangle equals

a)

100 degrees

b)

90 degrees

c)

180 degrees

d)

60 degrees

9.

The measure of an exterior angle of a triangle is

a)

always 150 degrees

b)

equal to the sum of the measures of the remote interior angles

c)

equal to the measure of its supplementary angle

d)

not helpful in solving interior angle measures

10.

The acute angles of a right triangle are

a)

corollary

b)

supplementary

c)

complementary

d)

congruent

11.

If two angles of one triangle are congruent to two angles of another triangle, then the third pair of angles are congruent based on

a)

Congruent Polygon Postulate

b)

Right Angle Congruency Theorem

c)

Triangle Sum Theorem

d)

The Third Angle Theorem

12.

Triangle ______ ≈ Triangle _____

a)

BAC DEF

b)

ACB FED

c)

ABC DFE

d)

CBA FED

13.

When naming polygons...

a)

the order of points do not matter

b)

all points must be named in consecutive, corresponding order

c)

Points must be in order, but not all points must be named

d)

you can call them whatever you feel like calling them

14.

In this figure, the two angles at point C are congruent by

a)

Right Angles Theorem

b)

Vertical Angles Theorem

c)

Third Angles Theorem

d)

External Angles Theorem

15.

Geometric figures are congruent if

a)

they are the same size and shape

b)

you draw in tic marks and arc marks

c)

the have the same number of sides and angles

d)

they look congruent

16.

Polygon BCDEA is congruent to

a)

Polygon GHKFL

b)

Polygon FLKHG

c)

Polygon GHKLF

d)

Polygon FGH

17.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SSS
b)
ASA
c)
AAS
d)
SAS
18.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SSS
c)
SAS
d)
SSA
19.

Which congruency statement can be written for the triangles pictured?

a)

ΔACB≅ΔABD\Delta ACB\cong\Delta ABD

b)

ΔBAC≅ΔBAD\Delta BAC\cong\Delta BAD

c)

ΔCAB≅ΔDBA\Delta CAB\cong\Delta DBA

d)

ΔADB≅ΔBCA\Delta ADB\cong\Delta BCA

20.

Use the congruency statement to answer the following: 

∠F≅?\angle F\cong?  

a)

∠H\angle H  

b)

∠I\angle I

c)

∠G\angle G  

d)

not congruent to another angle

21.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)

BC≅XZ

22.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

23.

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

a)

SSS

b)

SAS

c)

ASA

d)

NONE

24.

What additional information is needed to prove the 2 triangles are congruent by the listed theorem?

a)

RT‾ =XZ‾\overline{RT}\ =\overline{XZ}

b)

∠RST = ∠XYZ\angle RST\ =\ \angle XYZ

c)

SR‾ =YX‾\overline{SR}\ =\overline{YX}

25.
What is the formula for finding area of a rectangle?
a)
A = l•w
b)
A = r x h
c)
A = b•c
d)
A = l + l + w + w
26.
What is the area of a square with a length of 4 cm?
a)
16 cm
b)
16 square cm
c)
8 cm
d)
8 square cm 
27.
The area of a rectangle is 72 sq units.  One side length is 9 units.  What is the other side length?
a)
9 units
b)
7 units
c)
10 units
d)
8 units
28.

What is the area of this triangle?

a)
4 km2
b)
16 km2
c)
64 km2
d)
8 km2
29.
What is the area of this circle?
a)
163.2 sq. cm
b)
15.3 sq. cm
c)
124.2 sq. cm
d)
113.1 sq. cm
30.

Geometry is my favorite subject this year.

a)

True

b)

False

31.

What does CPCTC stand for?

a)

Congruent Parts of Congruent Triangles are Congruent

b)

Corresponding Parts of Corresponding Triangles are Corresponding

c)

Corresponding Parts of Congruent Triangles are Congruent

d)

Corresponding Parts of Congruent Triangles are Canadian

32.

Where do you use "CPCTC" in a proof?

a)

Always at the beginning

b)

It's Optional

c)

Always at the end

d)

Never

33.

What is the value of the missing angle measure?

a)

40

b)

58

c)

x+17

d)

68

34.

By which property can I prove that the third side is congruent in each triangle in order for SSS to be applied?

a)

Reflexive Property of Equality

b)

Centerline Property of Congruence

c)

Reflexive Property of Congruence

d)

Symmetric Property of Congruence

35.

If the side lengths of a triangle are given, the triangle can have only one shape.

a)

False, by Triangle Supposition Postulate

b)

True, by Property of Triangle Rigidity

c)

False, by Triangle Sum Theorem

d)

True, by Triangle Sum Theorem

36.

What is the perimeter and area of this triangle?

a)

P=30

A=30

b)

P=30

A=60

c)

P=17

A=32.5

d)

P=60

A=20

37.

The ________________ is the common side of two consecutive angles in a polygon.

a)

Hypotenuse

b)

Included Angle

c)

Included Side

d)

Leg

38.

By which theorem can I prove these two angles congruent?

a)

SSS

b)

ASA

c)

AAS

d)

None, they are not congruent

39.

Per the HL Congruence Theorem, if the _______ and a _____ of a right triangle are congruent to the _______ and ____ of another right triangle, then the triangles are congruent.

a)

hypotenuse, length, hypotenuse, length

b)

hypothesis, length, hypothesis, length

c)

hypothesis, leg, hypothesis, leg

d)

hypotenuse, leg, hypotenuse, leg

40.

What is the distance between (2, 3) and (5, -1)?

a)

25

b)

5

c)

√37

d)

4.1

41.

An isosceles triangle has at least ___ congruent sides.

a)

0

b)

1

c)

2

d)

3

42.

True or False:

If a triangle has 3 congruent sides, then it has 3 congruent angles.

a)

True

b)

False

43.

True or False:

If two sides of a triangle are congruent, then the angles opposite the sides are congruent.

a)

True

b)

False

44.
a)

35

b)

180

c)

25

d)

50

45.
a)

50

b)

130

c)

180

d)

100

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