Question

Given, ABCD is a rectangle and BD and AC are the two diagonals as shown. Which of the following statement is correct?

• A. $AO=\frac{OD}{2}$
• B. $AO=\frac{BD}{2}$
• C. $AO=\frac{BD}{2}$
• D. $AO=BD$

Answer 1

The correct option is C $AO=\frac{BD}{2}$

In the given figure, ABCD is a rectangle with AC and BD as diagonals.

We know that the diagonals of a rectangle are of equal length and bisects each other.
$\therefore AO=OC=BO=OD$
$orAC=BD=2AO$
$\Rightarrow AO=\frac{BD}{2}$