Question

Abcd is a square p and q are points on dc and bc respectively such that ap is 4cm pq is 3cm and aq is 5cm

Answer 1

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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

Answer 2

Step-by-step explanation:

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