If ∆PQR and ∆XYZ are congruent under the correspondence QPR ↔ XYZ, then
(i) ∠R = ___, (ii) QR = ____, (iii) ∠P = ____, (iv) QP = ____, (v) ∠ Q = ____, (vi) RP = _____

Solution:

Given, ∆PQR and ∆XYZ are congruent

The correspondence is QPR ↔ XYZ

We have to find the value of the angles.

According to the question,

Since ∆QPR ≅ ∆XYZ

The sides are congruent

QP = XY

PR = YZ

QR = XZ

The angles are congruent

∠R = ∠Z

∠P = ∠Y

∠Q = ∠X

✦ Try This: If ∆ABC and ∆PQR are congruent under the correspondence CAB ↔ PQR, then (i) ∠B = ___, (ii) AB = ____, (iii) ∠A = ____, (iv) BC = ____, (v) ∠R = ____, (vi) AC = _____

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6

NCERT Exemplar Class 7 Maths Chapter 6 Problem 63

If ∆PQR and ∆XYZ are congruent under the correspondence QPR ↔ XYZ, then (i) ∠R = ___, (ii) QR = ____, (iii) ∠P = ____, (iv) QP = ____, (v) ∠ Q = ____, (vi) RP = _____

Summary:

If ∆PQR and ∆XYZ are congruent under the correspondence QPR ↔ XYZ, then (i) ∠R = ∠Z, (ii) QR = XZ, (iii) ∠P = ∠Y, (iv) QP = XY, (v) ∠Q = ∠X, (vi) RP = ZY

☛ Related Questions:

• In Fig. 6.22, ∆PQR ≅ ∆_______. Fill in the blanks to make the statement true.
• In Fig. 6.23, ∆PQR ≅ ∆______. Fill in the blanks to make the statement true.
• In Fig. 6.24, ∆____ ≅ ∆ PQR. Fill in the blanks to make the statement true