Question

There are 4 proofs and statements please give them. If you aren't sure please don't answer. Given AC=BD, and AB and CD bisect each other. Prove: <A= <B​

Answer 1

Explanation:

Given: O is mid point of AB and CD

∴ AO=OB and CO=OD

To prove: AC=BD

Proof: Consider △AOC and △BOD

AO=OB (given)

CO=OD (Given)

∠AOC=∠BOD (Vertically Opposite angle)

△AOC≡△BOD

Hece we get, AC=BD (by c.p.c.t.)