Question

21. In the given figure AB = DC,
AB I AD, DC I BC
Prove: AD = BC.

Please answer immediately and correct ones please​

Answer 1

Given: In the given figure.

AB=DC,AB∣∣BC

Proof: AB∣∣DC

∠ABD=∠CDB (Alternate angles)

In △ABD and △CDB

AB=DC

∠ABD=∠CDB (Alternate angles)

BD=BD (common)

△ABD≅CDB (SAS axiom)

AD=BC