Question

ABCD and PQRC are rectangle and q is the midpoint of AC .Show that p is the midpoint of DC and R is the midpoint of BC .Also find the ratio of area ABCD and area PQRC

Answer 1

Step-by-step explanation:

In ΔADC,Qis the midpoint of AC such that PQ║AD

∴P is the midpoint of DC

⇒ DP = DC

ii) similarly, R is the midpoint of BC

∴PR= 1/2 BD

[diagonal of rectangle are equal∴BD=AC]

PR =1/2 AC