Question

the
-) If the triangle ABC and triangle POR
of
are congruent, then which
following is true?
- AB = PR
AL=Pq
AB= qR
B C = qR​

Answer 1

Answer:

BC=qR

Step-by-step explanation:

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Answer 2

Answer:

Given: ABC is an equilateral triangle. P, Q, R are points on AB, BC, CA respectively, such that

AP=BQ=CR

We know, AB=BC=CA

AP=BQ=CR

AB−AP=BC−BQ=CA−CR

BP=CQ=AR (I)

Now, In △APR and △PBQ

∠A=∠B=60

∘

AP=BQ (Given)

BP=AR (From I)

Thus, △APR≅△BQP (SAS rule)

Hence, PQ=PR (By cpct)...(II)

Similarly, △APR≅△CRQ

hence, PR=QR ..(III)

thus, from II and III

PQ=QR=PR

∴△PQR is an equilateral triangle

Step-by-step explanation:

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