Using Triangle Congruence Theorems

Question 1

Which congruency theorem can be used to prove that △ABD ≅ △DCA?

Revolt · Accepted Answer

SAS

Question 2

BA✔ AD AE BE

Revolt · Accepted Answer

✔ AD

Question 3

SSS✔ HLSAS AAS

Revolt · Accepted Answer

✔ HL

Question 4

Analyze the figure and the two-column proof.

Revolt · Accepted Answer

♣: Δ ≅ ΔAFC ♦:: DEB; ♣: Δ ≅ ΔAFC ♦:: HL

Question 5

ASA AAS✔ HL SAS

Revolt · Accepted Answer

✔ HL

Question 6

Which congruency theorem can be used to prove that △GHL ≅ △KHJ?

Revolt · Accepted Answer

ASA

Question 7

Which statements regarding the diagram are correct? Check all that apply.

Revolt · Accepted Answer

ST ≅ ST by the reflexive property.; ∠RWS ≅ ∠UWT because they are vertical angles.; △RWS ≅ △UWT by AAS.; ∠WTU ≅ ∠WSR because CPCTC.

Question 8

Rowena is proving that AD ≅ EB. Which statement does the ♣ represent in her proof?

Revolt · Accepted Answer

ΔACD ≅ ΔECB

Question 9

Complete the paragraph proof.

Revolt · Accepted Answer

✔ SAS; We are given AB ≅ AE and BC ≅ DE. This means ABE is an isosceles triangle. Base angles in an isosceles triangle are congruent based on the isosceles triangle theorem, so ∠ABE ≅ ∠AEB. We can then deter: SAS; We are given AB ≅ AE and BC ≅ DE. This means ABE is an isosceles triangle. Base angles in an isosceles triangle are congruent based on the isosceles triangle theorem, so ∠ABE ≅ ∠AEB. We can then deter: AD

Question 10

Mikal is proving that AE ≅ CE . Which reason does the ♣ represent in Mikal’s proof?

Revolt · Accepted Answer

AAS

Using Triangle Congruence Theorems Answers

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