USING TRIANGLE CONGRUENCE THEOREMS QUESTIONS WITH DETAILED VERIFIED ANSWERS (100% CORRECT ANSWERS) /ALREADY GRADED A+

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USING TRIANGLE CONGRUENCE THEOREMS
QUESTIONS WITH DETAILED VERIFIED ANSWERS (100%
CORRECT ANSWERS) /ALREADY GRADED A+
Which congruency theorem can be used to prove that △ABD ≅

△DCA?

Ans: C. SAS



In the figure below, WU ≅ VT. The congruency theorem can be used to

prove that △WUT ≅ △VTU.

Ans: B. HL



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

Ans: B. ASA



Analyze the diagram below. Which statements regarding the diagram

are correct? Check all that apply.

Ans: A. ST ≅ ST by the reflexive property.
B. ∠RWS ≅ ∠UWT because they are vertical angles.
C. △RWS ≅ △UWT by AAS.
E. ∠WTU ≅ ∠WSR because CPCTC.



Rowena is proving that AD ≅ EB. Which statement does the ♣ represent

in her proof?

Ans: A. ΔACD ≅ ΔECB


Sunday, 02 March 2025

, Complete the paragraph proof.



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

determine △ABC ≅ △AED by . Because of CPCTC, segment AC is

congruent to segment . Triangle ACD is an isosceles triangle based on

the definition of isosceles triangle. Therefore, based on the isosceles

triangle theorem, ∠ACD ≅ ∠ADC.

Ans: 1. SAS
2. AD



Mikal is proving that AE ≅ CE . Which reason does the ♣ represent in

Mikal's proof?

Ans: D. AAS



Complete the paragraph proof:



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.




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