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Solve for Corresponding Parts of Congruent Triangles

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

∠A ≅\angle A\ \cong_{ } ____

a)

∠M\angle M

b)

∠N\angle N

c)

∠L\angle L

2.

What value of x makes △GTB ≅ △HAR?

a)

0

b)

8

c)

19

d)

9.5

3.

These triangles are congruent. If ∠A is 48o what is the measure of ∠F?

a)

48o

b)

38o

c)

84o

d)

94o

4.

Solve for x if Δ\Delta  ABC =  Δ\Delta  DEF

a)

4.5

b)

5

c)

5.5

d)

6

5.

If ΔDEF ≅ ΔRST, then we can conclude that DE‾≅\overline{DE}\cong ____?

a)

ST‾\overline{ST}

b)

RS‾\overline{RS}

c)

DF‾\overline{DF}

d)

RT‾\overline{RT}

6.

What is the measure of <C?

a)

5º

b)

25º

c)

100º

d)

125º

7.

Given the information in the image, you can deduce that the triangles are ​ (a)   because ​ (b)   ​

Choose from the below words

of the ASA Triangle congruence postulate.

of the SSA Triangle congruence theorem.

of the SSS Triangle congruence postulate.

of the HL Triangle congruence postulate.

of the AAS Triangle congruence theorem.

of the SAS Triangle congruence theorem.

there is not enough information given.

congruent

not congruent

8.

You are trying to prove triangles A and B congruent. Given the information depicted on the diagram. What is the reason you would mark the blue, single arc angles congruent?

a)

The two angles are corresponding parts of the two triangles in question.

b)

Alternate internal angles of a transversal are congruent.

c)

The reflexive property of congruence.

d)

The transversal cuts through two parallel lines.

e)

These angles are Vertical angles and therefore are congruent

9.

You are trying to prove triangles A and B congruent. In the Given Statement, you were told that Triangle C and D are congruent. What is the reason you would mark the blue single and blue double marked line segments congruent?

a)

Corresponding Parts of Congruent Triangles are Congruent.

(CPCTC)

b)

Definition of Midpoint

c)

Congruent Transversal Line Segment Postulate

d)

Definition of Perpendicular Lines

e)

Segment Addition Postulate

10.

Given the information in the image, you can deduce that the triangles are ​ (a)   because ​ (b)   ​

Choose from the below words

of the ASA Triangle congruence postulate.

of the SSA Triangle congruence theorem.

of the SSS Triangle congruence postulate.

of the HL Triangle congruence postulate.

of the AAS Triangle congruence theorem.

of the SAS Triangle congruence theorem.

there is not enough information given.

congruent

not congruent