Consider the following statements: (i) All rectangles are squares. (ii) All rhombuses are parallelograms. (iii) All squares are not parallelograms (iv) All squares are trapeziums. Which of the above statements are correct?

Only (i) and (ii)
Only (ii) and (iii)
Only (iii) and (iv)
Only (ii) and (iv)

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 4 : Only (ii) and (iv)

Explanation:

Case (i): All rectangles are squares.

All squares are rectangles but all rectangles are not squares.

Thus, (i) is false.

Case (ii): All rhombuses are parallelograms.

A parallelogram has opposite sides equal which a rhombus also has. Because all the sides of a rhombus are equal.

Thus, (ii) is true.

Case (iii): All squares are not parallelograms

A parallelogram has opposite sides equal which a square also has. Because all the sides of a square are equal.

Thus, (iii) is false.

Case (iv): All squares are trapeziums.

All the squares are trapezium because all squares have pairs of parallel sides. A trapezium is a quadrilateral in which the pair of opposite sides are parallel.

Thus, (iv) is true.

Hence, (ii) and (iv) are correct.

4 views Answered 2022-09-04 04:29

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