Question

Which of the following are true?

i) All squares are rhombuses.

ii) All parallelograms are rectangles.

iii) All rhombuses are trapeziums

iv) All squares are rectangles.

• A. ii, iii
• B. i, ii
• C. i, iii, iv
• D. None of these

Answer 1

The correct option is D

None of these

Rhombus has equal sides and their diagonals bisect at ${90}^{\circ }$. Square 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 rhombus has all sides equal and diagonals bisecting other. While a trapezium has one pair of equal parallel sides

So, (iii) is false.

Rectangle has all angles as ${90}^{\circ }$and equal opposite sides. Square also has all angles as ${90}^{\circ }$ and all equal sides, hence equal opposite sides.

So, (iv) is true.