Question

prove that the line joining the mid point of a rectangle forms a rambous​

Answer 1

Step-by-step explanation:

Let ABCD be a rhombus and P, Q, R and S be the mid-points of sides AB, BC, CD and DA respectively.

In ABD and BDC we have.

From (i) and (ii) we get.

PQRS is a ||gm

As diagonals of a rhombus bisect each other at right angles.

Since SP||BD, PQ||AC and AC BD.