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.

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Solution

(a) False
All squares are rectangles.
(All sides of rectangle are not equal).

(b) True
Opposite sides are equal and parallel.

(c) True
All sides of the rhombus are equal
$∴$ All squares are rhombuses.
All squares are also rectangles as each interval angle measure $90^{\circ}$

(d) False
All squares are parallelogram as opposite sides are equal and parallel.

(e) False
Kite has different lengths.

(f) True
Rhombus also has two distinct consecutive pairs of sides of equal length.

(g) True
Parallelogram pair of parallel sides.

(h) True
All squares have a pair of parallel sides.

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Similar questions

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

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

Which of the following are true?

i) All squares are rhombuses.

ii) All parallelograms are rectangles.

iii) All rhombuses are kites.

iv) All squares are rectangles.

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.

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