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The diagram shows that `/_A cong /_D` and `bar(AB) cong bar(DE)`. Which other statement do you need to prove triangle congruency through the SAS criterion?

A. /_C cong /_F
B. bar(BC) cong bar (EF)
C. /_B cong /_E
D. bar(AC) cong bar(DF)

The diagram shows that `/_A cong /_D` and `bar(AB) cong bar(DE)`. Which other statement-example-1
User CaRDiaK
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2 Answers

1 vote

Answer:

Explanation:

The diagram shows that `/_A cong /_D` and `bar(AB) cong bar(DE)`. Which other statement-example-1
User Thomas E
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6 votes

Answer:

Option D

Explanation:

In the given triangles ΔABC and ΔDEF,

∠A ≅ ∠D

AB ≅ DE

By SAS property of congruence of two triangles,

Two sides and the included angle of one triangles should be congruent to corresponding two sides and the included angle of the other triangle.

Therefore, AC ≅ FD will be the desired property to prove the given triangles congruent.

Option D will be the correct option.

User Sirojiddin Komolov
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