Performance Task: Congruency Proofs

Question 1

Consider the diagram.

Revolt · Accepted Answer

SSS.

Question 2

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

Revolt · Accepted Answer

AAS

Question 3

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 4

Complete the paragraph proof.Given: and are right anglesProve: bisects

Revolt · Accepted Answer

Answer image: https://r14.core.learn.edgenuity.com//media.edgenuity.com/evresources/59344acb94c68416ec78a0c58fb6ac79.png

Question 5

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 6

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

Revolt · Accepted Answer

△GHD ≅ △EDH by SAS

Question 7

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 8

Given: MQ = NQ; Q is the midpoint of LP; LM ≅ PN

Revolt · Accepted Answer

SSS

Performance Task: Congruency Proofs Answers

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