Question

If AB=QR, BC=RP and CA=PQ, then which of the following holds true? a. △ABC ≅ △PQR b. △CBA ≅ △PQR c. △CAB ≅ △PQR d. △BCA ≅ △PQR

Answer 1

Answer:

b)ΔCBA≈ΔPQR

Step-by-step explanation:

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Answer 2

Concept:

Triangle is a 2D shape having three sides and three angles.

Given:

We have,

AB = QR, BC = RP and CA = PQ

Find:

We are asked to find the rule of congruence and which of the given options holds true.

Solution:

We have,

AB = QR, BC = RP and CA = PQ

Now,

We have,

Two triangles named ABC and PQR are not necessarily in the same manner,

As given,

AB = QR

BC = RP

CA = PQ

i.e.

ΔCAB ≅ ΔPQR

Because A corresponds to Q, B corresponds to R, and C corresponds to P.

So,

ΔCAB ≅ ΔPQR

i.e.

Option C is the correct answer.

Hence, the given option that holds true for the given conditions is option C.

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