USING TRIANGLE CONGRUENCE THEOREMS COMPLETE QUESTIONS AND CORRECT DETAILED ANSWERS (VERIFIED ANSWERS)

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USING TRIANGLE CONGRUENCE THEOREMS
COMPLETE QUESTIONS AND CORRECT DETAILED
ANSWERS (VERIFIED ANSWERS)
QUESTION: Which congruency theorem can be used to prove that

△ABD ≅ △DCA?


Ans: C. SAS



QUESTION: In the figure below, WU ≅ VT. The congruency theorem

can be used to prove that △WUT ≅ △VTU.


Ans: B. HL



QUESTION: Which congruency theorem can be used to prove that

△GHL ≅ △KHJ?


Ans: B. ASA



QUESTION: Analyze the diagram below. Which statements regarding

the diagram are correct? Check all that apply.




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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.



QUESTION: Rowena is proving that AD ≅ EB. Which statement does

the ♣ represent in her proof?


Ans: A. ΔACD ≅ ΔECB



QUESTION: 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.



Master01 | 2025/2026 | Latest update