If AB = QR, BC = PR and CA = PQ, then
a. ∆ ABC ≅ ∆ PQR
b. ∆ CBA ≅ ∆ PRQ
c. ∆ BAC ≅ ∆ RPQ
d. ∆ PQR ≅ ∆ BCA
Solution:
In ∆ ABC and ∆ PQR
It is given that
AB = QR
BC = PR
CA = PQ
From the SSS criterion
SSS or Side-Side-Side congruence rule states that if three sides of one triangle are equal to three corresponding sides of another triangle, then the triangles are congruent.
∆ CBA ≅ ∆ PRQ
Therefore, if AB = QR, BC = PR and CA = PQ, then ∆ CBA ≅ ∆ PRQ.
✦ Try This: If PQ = YZ, QR = XZ and RP = XY, then a. ∆ PQR ≅ ∆ XYZ, b. ∆ RQP ≅ ∆ XZY, c. ∆ QPR ≅ ∆ ZXY, d. ∆ XYZ ≅ ∆ RQP
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 7
NCERT Exemplar Class 9 Maths Exercise 7.1 Problem 2
If AB = QR, BC = PR and CA = PQ, then a. ∆ ABC ≅ ∆ PQR , b. ∆ CBA ≅ ∆ PRQ , c. ∆ BAC ≅ ∆ RPQ , d. ∆ PQR ≅ ∆ BCA
Summary:
SSS congruence rule states that if three sides of one triangle are equal to three corresponding sides of another triangle, then the triangles are congruent. If AB = QR, BC = PR and CA = PQ, then ∆ CBA ≅ ∆ PRQ
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