Using Triangle Congruence Theorems

Question 1

Mikal is proving that AE ≅ CE . Triangles A B E and C D E are connected at point E. Angles A B E and E D C are right angles. The lengths of A C and D C are congruent. Which reason does the ♣ represent in Mikal’s proof?

Revolt · Accepted Answer

AAS

Question 2

ASA✔ SAS AAS SSS

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

Question 4

SASASA AAS CPCTC

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

DEB DBE EDB EBD

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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