A parallelogram ABCD has P the midpoint of DC and Q a point of AC such that CQ Prove that i R is the...

Question

A parallelogram ABCD has P the midpoint of DC and Q a point of AC such that CQ Prove that i R is the midpoint of BC

Accepted Answer

Solution For help we draw the diagonal BD as shown below The diagonal AC and BD cuts at point X We know that the diagonal of a parallelogram intersect equally with each other Therefore AXCX and BXDX Given Therefore Q is the midpoint of CX i For triangle CDX PQDX or PRBD Since for triangle CBX Q is the midpoint of CX and QRBX Therefore R is the midpoint of BC ii For triangle BCD

Selina Solutions Class 9 Mathematics Solutions for Exercise 13(A) in Chapter 13 - Chapter 13- Pythagoras Theorem