Question

Two line segments AB and CD of 6cm each bisects each other at point O. Triangles formed by joining the end points A, C and B, D are.

• A. congruent
• B. not congruent
• C. similar

Answer 1

The correct option is A congruent

Since, line segments AB and CD are equal and bisects each other,
AO = OC = DO = OB = 3cm

$△AOC$ and $△DOB$ are formed after joining the end points.
AO = DO
OC = OB
$\angle AOC=\angle DOB$ ..... (Vertically opposite angles)

By SAS criterion for congruency of triangles, $△AOC\cong △DOB$.