Using Triangle Congruence Theorems

Question 1

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

Revolt · Accepted Answer

AAS

Question 2

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 3

BA✔ AD AE BE

Revolt · Accepted Answer

✔ AD

Question 4

Complete the paragraph proof:

Revolt · Accepted Answer

✔ SAS; It is given that ∠TUW ≅ ∠SRW and RS ≅ TU. Because ∠RWS and ∠UWT are vertical angles and vertical angles are congruent, ∠RWS ≅ ∠UWT. Then, by AAS, △TUW ≅ △SRW. Because CPCTC, SW ≅ TW and WU ≅ RW. Becau: SAS; It is given that ∠TUW ≅ ∠SRW and RS ≅ TU. Because ∠RWS and ∠UWT are vertical angles and vertical angles are congruent, ∠RWS ≅ ∠UWT. Then, by AAS, △TUW ≅ △SRW. Because CPCTC, SW ≅ TW and WU ≅ RW. Becau: CPCTC

Question 5

SAS ASA AAS✔ CPCTC

Revolt · Accepted Answer

✔ CPCTC

Question 6

Analyze the figure and the two-column proof.

Revolt · Accepted Answer

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

Question 7

ASA AAS✔ HL SAS

Revolt · Accepted Answer

✔ HL

Using Triangle Congruence Theorems Answers

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