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.
ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD see Figure. Show that (i) ∆ APB ≅ ∆ CQD (ii) AP = CQ
Share
(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]