6 PQRS is a parallelogram D is a point on PQ such that PD = 1/3PQ and E is - Maths -

Question

6 PQRS is a parallelogram D is a point on PQ such that PD =
1/3PQ and E is a point on RS and RE= 1/3RS Then prove that
quadrilateral PDRE is a parallelogram

Gursheen kaur. · Accepted Answer

Given: PQRS is a llgm D is a point on PQ such that PD=1/3PQ and E is a point on RS such that RE=1/3 RS To Prove: PDRE is a parallelogram Proof: PQRS is a parallelogram [Given] $P Q ∥ S R a n d P Q = S R P D = \frac{1}{3} P Q = \frac{1}{3} S R \Rightarrow P D = R E a n d P D ∥ R E$ Thus, PDRE is a parallelogram

6. PQRS is a parallelogram D is a point on PQ such that PD = 1/3PQ and E is a point on RS and RE= 1/3RS. Then prove that quadrilateral PDRE is a parallelogram.