Question

$\text{In the given figure,}\Delta ABC\text{and}\Delta OBC\text{are both isosceles.}$
Prove that $△AOB\cong AOC.$


(2 marks)

Answer 1

In triangles AOB and AOC
AB = AC (ABC is isosceles triangle) (0.5 mark)
OA = OA (Common) (0.5 mark)
OB = OC (OBC is isosceles triangle) (0.5 mark)
$\therefore △AOB\cong AOC$ (By SSS ) (0.5 mark)