If and are the midpoints of sides and of

MATHEMATICS · Single correct · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

D

and

E

are the midpoints of sides

AB

and

AC

\triangle ABC

, then which of the following is always true? (a)

DE = \dfrac{1}{2}\,BC \text{ and } DE \parallel AC

(b)

DE = \dfrac{1}{2}\,BC \text{ and } DE \parallel BC

(c)

DE = BC \text{ and } DE \parallel AC

(d)

DE = \dfrac{1}{2}\,AB \text{ and } DE \parallel AC