Question

A quadrilateral formed by joining the midpoints of sides of a quadrilateral can be -

• A. AB
• B. AC
• C. BC
• D. None of these

Answer 1

Answer: (B), (C), (D)

The correct options are
B

AC

C

BC

D

None of these

In this quad. ABCD

$PQ\parallel AC$, $PQ=\frac{1}{2}AC$, $RS\parallel AC$, $RS=\frac{1}{2}AC$ [By mid-point theorem].

$\Rightarrow PQ\parallel RS$ and $PQ=RS$

$\Rightarrow$ PQRS is a parallelogram.

When ABCD is a kite, PQRS is a rectangle.

When ABCD is a square, PQRS is a square.

So, options B, C and D are correct.