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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

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B

i, ii

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C

i, iii, iv

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D

None of these

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Solution

The correct option is D

None of these


Rhombus has equal sides and their diagonals bisect at 90. Square satisfies these conditions.

So, (i) is true

A rectangle has all angles equal to 90 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 90and equal opposite sides. Square also has all angles as 90 and all equal sides, hence equal opposite sides.

So, (iv) is true.


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