Question

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

Answer 1

Given
ABCD is a square
P and Q are point on DC and. BC
AP = DQ
To prove
ADP is congruent toDCQ
Proof
In ADP and DCQ
AP = DQ ( given )
angle ADC = angle DCQ ( 90°)
AD = DC ( side from each )
by SAS rule,
ADP is congruent toDCQ
by CPCT, ( corresponding part of congruent triangle )
angle DAP = angle CDQ
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Answer 2

Answer:

it is proved above.

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