Question

ABCD is a parallelogram. AP and CQ are perpendiculars drawn from vertices A and C respectively on diagonal BD then show that AP=CQ.

Answer 1

answer in above image

Answer 2

Answer:

Given: ABCD is a parallelogram

= AB = CD

∴ Consider, ΔADB and ΔCQD

= <APB = <CQD = 90

= <APB = <CPQ (Alternate Angles)

∴ By SAS Congruence rule,

= ΔAPB ≅ ΔCQD (CPCT)

= AP = CQ (CPCT)