Question

In the given figure, l is parallel to m and M is the mid point of a line segment AB. Show that M is also the midpoint of any line segment CD having its end points on l and m.

Answer 1

Explanation:

• |AM| = |MB|

• ∠CAM = ∠MBD

• ∠ACM = ∠MDB

∴ ΔAMC ≅ ΔBMD

since ΔAMC ≅ ΔBMD, therefore |CM| = |MD| → M is also the midpoint of CD