Question

Which of the following are true?

i) All squares are rhombuses.

ii) All parallelograms are rectangles.

iii) All squares are rectangles.

• A. i, iii
• B. i, ii, iii
• C. i, ii
• D. ii, iii

Answer 1

The correct option is A i, iii

A rhombus has equal sides and the diagonals bisect each other at ${90}^{\circ }$. A square also satisfies these conditions. So, (i) is true.

A rectangle has all angles equal to ${90}^{\circ }$. This is not the case with parallelograms. So, (ii) is false.

A rectangle has all angles as ${90}^{\circ }$ and has equal opposite sides. Square also has all angles as ${90}^{\circ }$ and all equal sides, hence equal opposite sides. So, (iii) is true.