13. In the quadrilateral ABCD the mid-points of AB,BC.CD. DA are L, M,

1.	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 statementconcerning the lengths and directions of LMand AC(ii) Prove that LMPQ is a parallelogram.(iii) If it is also given that the diagonals AC and BDare equal. What further statement can be madeabout the parallelogram LMPQ?
Answer» <P>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

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 statementconcerning the lengths and directions of LMand AC(ii) Prove that LMPQ is a parallelogram.(iii) If it is also given that the diagonals AC and BDare equal. What further statement can be madeabout the parallelogram LMPQ?

Answer»

<P>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