Question

The diagonal of rectangle $ABCD$ intersect each other at $O$. If $\angle AOB={30}^0$, then we can construct a rectangle if _________ is given.

• A. diagonal
• B. one side
• C. both sides
• D. $\angle COD$

Answer 1

Answer: (A), (C)

The correct options are
A diagonal
C both sides

$ABCD$ is a rectangle

$⟹AB=CD$ and $AD=BC$ ... (1)

By knowing these, we can just draw the two pair of parallel lines but the length is not fixed.

So, to draw a rectangle we need the length of the sides.

From (1), we need only the length of two adjacent sides.

Hence, we can construct a rectangle if both sides are given.