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

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Solution

All rectangles have all the properties of parallelograms but a parallelogram may not have all the properties of a rectangle.
$1.$ In a rectangle all the angles are equal and all are right angles but in a parallelogram only opposite angles are equal.
$2.$ In a rectangle the diagonals are equal but in a parallelogram diagonals are not equal.

Hence, we can conclude that, all rectangles are parallelograms, but all parallelograms are not rectangles.

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Similar questions

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

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

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