Question

13. In the quadrilateral ABCD the mid-points of AB,BC.
CD. DA are L, M, P, Q.
(1) Using the mid-point theorem make a statement
concerning the lengths and directions of LM
and AC
(ii) Prove that LMPQ is a parallelogram.
(iii) If it is also given that the diagonals AC and BD
are equal. What further statement can be made
about the parallelogram LMPQ?​

Answer 1

Answer:

Given In a quadrilateral ABCD, P, Q, R and S are the mid-points of sides AB, BC, CD and DA, respectively. Also, AC = BD To prove PQRS is a rhombus.

Explanation:

See The Attached image