All rectangles are parallelograms, but all parallelograms are not rectangles. Justify this statement.

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Solution

The opposite sides of parallelograms and rectangles are equal and parallel. However, all angles of a rectangle are right angles. Thus, rectangle is a special case of a parallelogram. Hence, all rectangles are parallelograms, but all parallelograms are not rectangles.

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Similar questions

Q. All rectangles are parallelograms, but all parallelograms are not rectangles. Justify this statement.

Q. All rectangles are parallelograms.

Q. State whether True or False.
(a) All rectangles are squares.
(b) All rhombuses are parallelograms.
(c) All squares are rhombuses and also rectangles.
(d) All squares are not parallelograms.
(e) All kites are rhombuses.
(f) All rhombuses are kites.
(g) All parallelograms are trapeziums.
(h) All squares are trapeziums.

Find which of the following are true:

1.All rhombuses are squares
2.All squares are rectangles
3.All rectangles are parallelograms
4.All parallelograms are quadrilaterals
5.All parallelograms are rhombuses

Which of the following options are true?

1.All rhombuses are squares

2.All squares are rectangles

3.All rectangles are parallelograms

4.All parallelograms are quadrilaterals

5.All parallelograms are rhombuses

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