Question

in the adjacent figure quadrilateral ABCD is a trapezium AB parallel to DC. M and N are midpoints of diagonals AC and BD respectively then prove that MN parallel to AB

Answer 1

Hope it will help you

Answer 2

Answer:

The result is proved with the help of Mid-point theorem.

Step-by-step explanation:

Given ABCD is a trapezium AB parallel to DC. M and N are midpoints of diagonals AC and BD respectively. we have to prove that MN parallel to AB.

In ΔCOD

M is the mid point of side CO and N is the mid point of side DO.

∴ By mid-point theorem which states that segment joining two sides of a triangle at the midpoints is parallel to the third side of triangle.

MN||CD

also given CD||AB

⇒ MN||AB.

Hence Proved.