Question

ABCD is a squre. P and Q are point on DC and BC respectively, such that AP=DQ. Prove that ∆ADP congruent∆DCQ

Answer 1

ANSWER:

ABCD is a square

Given-AP=DQ

Then,

AP=DQ

AD=DC and angle D=C

By SAS congruence ∆ADP congruent∆DCQ

Answer 2

In triangle ADP and DCQ

in which

AD=DC(square all sides are equal)

DP=CQ(given)

angleD=angleC(90degree)

so by SAS criteria ADP IS congruent to DPQ