Question

Draw figure, 2 lines AB & CD intersect each other at point O such that BC||DA . show that O is the midpoint of both the line segment AB & CD

Answer 1

Step-by-step explanation:

given ab and bc are intersecting line at o.

so , angle cob equel to angle aod

( by vertically opposite angles) (1)

similarly, angle aoc equel to angle dob (by vertically opposite angles) (2)

since, from (1) BC parallel to DA

therefore, from (1) and (2) o is mid point of both line segment ab and CD.

hence proved.