Using Triangle Congruence Theorems

Question 1

Which congruence theorem can be used to prove △WXZ ≅ △YZX?

Revolt · Accepted Answer

AAS

Question 2

Two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle. Which congruence theorem can be used to prove that the triangles are congruent?

Revolt · Accepted Answer

SAS

Question 3

Consider the diagram.

Revolt · Accepted Answer

SSS.

Question 4

Consider the diagram.

Revolt · Accepted Answer

HL

Question 5

Triangles ABC and DEF have the following characteristics:∠B and ∠E are right angles∠A ≅ ∠DBC ≅ EF

Revolt · Accepted Answer

AAS

Question 6

Triangles ABC and DBC have the following characteristics: BC is a side of both triangles∠ACB and ∠DCB are right anglesAC ≅ DC

Revolt · Accepted Answer

SAS

Question 7

Given: ∠XWU ≅ ∠ZVT; ∠ZTV ≅ ∠XUW; TU ≅ VW

Revolt · Accepted Answer

△ZVT ≅ △XWU by ASA

Question 8

Two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle. Which congruence theorem can be used to prove that the triangles are congruent?

Revolt · Accepted Answer

AAS

Question 9

Which relationships in the diagram are true? Select three options.

Revolt · Accepted Answer

ΔCBF ≅ ΔCDF by SSS; ΔBFA ≅ ΔDFE by SAS; ΔCBE ≅ ΔCDA by HL

Question 10

Given: bisects ∠BAC; AB = AC

Revolt · Accepted Answer

SAS

Using Triangle Congruence Theorems Answers

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