In triangles ABC and PQR, if ∠A=∠R, ∠B=∠P and AB=RP, then which one of the following congruence conditions applies:
A. SAS
B. ASA
C. SSS
D. RHS
Answers
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13
Answer:
Your answer is here
B) ASA
Answered by
16
Concept :
Congruence of triangles :
- Two triangles are congruent, if sides and angles of a triangle are equal to the corresponding sides and angles of the triangle.
- In Congruent triangles, corresponding parts are always equal and we write it in short 'CPCT', i e, Corresponding Parts of Congruent Triangles.
- It is necessary to write a correspondence of vertices correctly for writing the congruence of triangles in symbolic form.
Given : In triangles ABC and PQR, if ∠A = ∠R, ∠B = ∠P and AB = RP
In ∆ABC and ∆RPQ,
AB = RP (Given)
∠A = ∠R (Given)
∠B = ∠P (Given)
Hence, by ASA congruence criterion, we obtain ∆ABC ≅ ∆RPQ
Option (B) ASA is correct.
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