Find the corresponding angles.

Prove the corresponding sides of congruent triangles

NCERT Books for Session 2022-2023 are based on CBSE Board.

Important NCERT Book, Exercise 7.4, Question no: 10, Page No: 147.

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(i) In ΔAPB and ΔCQD,

∠APB = ∠CQD [∵ Each 90°]

∠ABP = ∠CDQ [∵ Alternate angles]

AB = CD [∵ Opposite sides of a parallelogram]

Hence, ΔAPB ≅ ΔCQD [∵ SAS Congruency rule]

(ii) ΔAPB ≅ ΔCQD [∵ Prove above]

AP = CQ [∵ CPCT]