Question

$\huge{\boxed{\purple{\sf{Hey \ Mates}}}}$
Question : In the figure O is the mid point of AB and CD, Prove that
(1) \triangle AOC \congo \triangle BOD
(2) AC = BD​

Answer 1

$\huge\bold{Answer}$

Given,

• 'o' is the midpoint of AB & CD

To prove,

• ΔAOC ${\cong}$ ΔBOD

• AC = BD

Proof,

• ΔAOC & ΔBOD

• OC = OD

• OA = OB

${\angle}$AOC = ${\angle}$ BOD (Vertically Opposite angle)

By using SAS rule

ΔAOC ${\cong}$ ΔBOD

Therefore, AC = BD

________________

Hence proved