Question

Read the following statement and choose the correct alternative from those given below them:
(i) Diagonals of a rectangle are perpendicular bisectors of each other
(ii) Diagonals of a rhombus are perpendicular bisectors of each other
(iii) Diagonals of a parallelogram are perpendicular bisectors of each other

• A. Statement $\left(ii\right)$ and $\left(iii\right)$ are true
• B. Only statement $\left(ii\right)$ is true
• C. Statement $\left(ii\right)$ and $\left(iv\right)$ are true
• D. Statement $\left(i\right),\left(ii\right)$ and $\left(iv\right)$ are true

Answer 1

Answer: (B)

Only statement $\left(ii\right)$ is true

$\Rightarrow$ Diagonals of a rectangle are equal in length but does not bisect each other perpendicularly. So, first statement is false.

$\Rightarrow$ Not all types of parallelogram diagonals bisect each other perpendicularly, so third statement is also false.

$\Rightarrow$ Diagonals of rhombus bisect each other perpendicularly.

So, only second statement is correct.