In Fig.3, ABCD and PQRC are rectangles and Q is the mid-point of AC. Prove that (i) DP = PC (ii) PR=12AC

In Fig.3, ABCD and PQRC are rectangles and Q is the mid-point of AC.

1.	In Fig.3, ABCD and PQRC are rectangles and Q is the mid-point of AC. Prove that (i) DP = PC (ii) PR=12AC
Answer» In Fig.3, ABCD and PQRC are rectangles and Q is the mid-point of AC. Prove that (i) DP = PC (ii) $P R = \frac{1}{2} A C$