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# If ∆ ABC ≅ ∆ PQR and ∆ ABC is not congruent to ∆ RPQ, then which of the following is not true:

a. BC = PQ

b. AC = PR

c. QR = BC

d. AB = PQ

**Solution:**

It is given that

∆ ABC ≅ ∆ PQR

As corresponding sides are equal

AB = PQ

AC = PR

BC = QR

So BC = PQ is not true for the triangles.

Therefore, BC = PQ is not true.

**✦ Try This: **If ∆ PQR ≅ ∆ XYZ and ∆ PQR is not congruent to ∆ ZYX, then which of the following is not true: a. QR = XY, b. PR = XZ, c. YZ = QR, d. PQ = XY

It is given that

∆ PQR ≅ ∆ XYZ

As corresponding sides are equal

PQ = XY

PR = XZ

QR = YZ

So QR = XY is not true for the triangles.

Therefore, QR = XY is not true.

**☛ Also Check: **NCERT Solutions for Class 9 Maths Chapter 7

**NCERT Exemplar Class 9 Maths Exercise 7.1 Sample Problem 1**

## If ∆ ABC ≅ ∆ PQR and ∆ ABC is not congruent to ∆ RPQ, then which of the following is not true: a. BC = PQ, b. AC = PR , c. QR = BC ,d. AB = PQ

**Summary:**

If ∆ ABC ≅ ∆ PQR and ∆ ABC is not congruent to ∆ RPQ, BC = PQ is not true

**☛ Related Questions:**

- Which of the following is not a criterion for congruence of triangles? a. SAS, b. ASA, c. SSA, d. SS . . . .
- If AB = QR, BC = PR and CA = PQ, then a. ∆ ABC ≅ ∆ PQR, b. ∆ CBA ≅ ∆ PRQ, c. ∆ BAC ≅ ∆ RPQ, d. ∆ PQR . . . .
- In ∆ ABC, AB = AC and ∠B = 50°. Then ∠C is equal to, a. 40°, b. 50°, c. 80°, d. 130°

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