Free Printable Triangle Congruence

1.

Which triangle congruence theorem states that triangle ABC and triangle XYZ are congruent?

a)

ASA

b)

SAS

c)

SSS

d)

SSA

2.

Is there a congruence theorem that states these two triangles are congruent? If so, what?

a)

SAS

b)

ASA

c)

AAS

d)

NONE

3.

Is SSA a congruence Theorem?

a)

Yes

b)

No

4.

Which triangle congruence theorem is shown in the picture?

a)

SAS

b)

ASA

c)

SSA

d)

NONE

5.

Are the triangles congruent? If so, how?

a)

SSS

b)

ASA

c)

No

d)

SAS

6.

Can you use a theorem to prove these triangles are congruent? If so, how?

a)

No

b)

SAS

c)

SSA

d)

ASA

7.

Which theorem states that these two triangles must be congruent?

a)

SSA

b)

HL

c)

ASA

d)

AAA

8.

Segment $\overline{CD}$ bisects segment $\overline{AB}$ . Which two segments must be congruent?

a)

$\overline{AC}\ and\ \overline{CB}$

b)

$\overline{AD}\ and\ \overline{BC}$

c)

$\overline{AB}\ and\ \overline{DC}$

d)

$\overline{AD}\ and\ \overline{DB}$

9.

Which property must be used to show that the two triangles are congruent by the SAS theorem?

a)

alternate interior angles

b)

vertical angles

c)

reflexive property

d)

definition of an angle bisector

10.

What goes in statement 2?

a)

$Angle\ BCA\cong Angle\ DCE$

b)

SAS

c)

$\overline{BC}\cong\overline{DC}$

d)

$Angle\ CAB\cong Angle\ ECD$

11.

When can we use HL theorem

a)

Isosceles Triangles

b)

Scalene Triangles

c)

Right Triangles

d)

Equilateral Triangles

12.

What sides or angles need to be congruent for the two triangles to be congruent by ASA?

a)

Segment XY and Segment JK

b)

Angle X and Angle J

c)

segment ZY and segment KL

d)

Angle K and Angle Y

13.

What is statement 4 be?

a)

SSS

b)

ASA

c)

SAS

d)

AAS

14.

What reason goes in the first blank?

a)

HL theorem

b)

ASA

c)

Definition of an angle bisector

d)

Reflexive Property

15.

What goes in statement 2?

a)

ANGLE D = $180\degree$

b)

$\overline{AD}\cong\overline{AD}$

c)

Angle H $\cong$ Angle N

d)

$\overline{HD\ }\cong\overline{DN}$

16.

What is Reason 3.?

a)

Alternate Interior Angles Theorem

b)

Corresponding Angles

c)

Reflexive Property

d)

Vertical Angles Theorem

Triangle Congruence

Total questions: 16

Worksheet time: 12mins

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