Question

s.
Two lines AB and CD intersects each other at point o such that OA = OB and OC =
OD. Show that AC is parallel to BD.​

Answer 1

Answer:

This can be shown by

Step-by-step explanation:

Make the diagram as directed

after that join A to C and then B to D

Now you get two triangles ACO and BDO prove them congruent .

In triangle ACO and BDO

AO=BO....given

angle AOC = angle BOD....vertically opposite angle

CO= OD...Given

So by SAS criteria both the triangles are congruent.

therefore angle ACO =angle ODB ... by cpct

As these are alternate interior angles so we can say that the lines AC and BD are parallel