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Based on the given information in the figure at the right, how can you justify that triangle ABC is congruent to triangle CDA?
A) ASA
B) SSS
C) AAS
D) SAS

Based on the given information in the figure at the right, how can you justify that triangle ABC is congruent to triangle CDA? A) ASAB) SSSC) AASD) SAS class=

Answer :

D. Side, Angle, Side (SAS)
JeanaShupp

Answer:- D) SAS is the right answer.


Explanation:-

Given : Two triangles ΔABC and ΔCDA in which BC=AD

∠DAC=∠ACD

To prove:- ΔABC ≅ ΔCDA

Proof:-In ΔABC and ΔCDA

BC=AD [given]

∠DAC=∠ACD [given]

AC=AC [common]

⇒ΔABC ≅ ΔCDA by SAS postulate

  • SAS (Side-Angle-Side) postulate states that if two angles and its included side of a triangle is equal to the two angles and its included side of the other triangle, then the triangles is said to be congruent.

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