Using Triangle Congruence Theorems

Question 1

Given: bisects ∠BAC; AB = AC

Revolt · Accepted Answer

SAS

Question 2

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

Revolt · Accepted Answer

AAS

Question 3

Given: ∠GHD and ∠EDH are right; GH ≅ ED

Revolt · Accepted Answer

△GHD ≅ △EDH by SAS

Question 4

Line segments AD and BE intersect at C, and triangles ABC and DEC are formed. They have the following characteristics: ∠ACB and ∠DCE are vertical angles∠B ≅ ∠EBC ≅ EC

Revolt · Accepted Answer

ASA

Question 5

Consider the diagram.

Revolt · Accepted Answer

SSS.

Question 6

Which congruence theorem can be used to prove △BDA ≅ △BDC?

Revolt · Accepted Answer

SSS

Question 7

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 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

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

Using Triangle Congruence Theorems Answers

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