Question

A
10. Let the line segments AB and CD intersect at
O in such a way that OA = OD and OB=OC.
Prove that AC = BD but AC may not be
parallel to BD.​

Answer 1

Step-by-step explanation:

To prove AC = BD, we need to prove Triangle AOC is congruent to Triangle DOB.

AO = DO (Given)

CO = BO (Given)

Angle AOC = Angle DOB (Vertically Opposite Angles)

Therefore, Triangle AOC is congruent to Triangle DOB.

So, AC = BD (Corresponding parts of congruent triangles)

Hence proved.