Question

In the quadrilateral ABCD, AD = CD and
ZA= 90° = ZC. Prove that AB = BC.​

Answer 1

Answer:

Given:-

• In quadrilateral ABCD, AD =CD
• ZA = 90° = ZC

Find:-

• Prove that AB = BC

Solution:-

From ΔABD and ΔBCD:-

AD = CD (Given)

BC = BC ( common side)

${ \angle{BAD=∠BCD}}$

ΔBAD ≅ ΔBCD (by RHS)

AB = BC ( By CPCT)

Hence proved

Answer 2

GIVEN :-

In quadrilateral ABCD, AD =CD

ZA = 90° = ZC

FIND :-

Prove that AB = BC

SOLUTION :-

From ΔABD and ΔBCD:-

AD = CD (Given)

BC = BC ( common side)

∠BAD=∠BCD

ΔBAD ≅ ΔBCD (by RHS)

AB = BC ( By CPCT)

Hence proved