Rectangle

Q. Which of the following has all its angles equal to ${90}^{\circ }$ ?

1. Rhombus
2. Trapezium
3. Parallelogram
4. Rectangle

Q. State whether the statement is True or False.
"All sides of a rectangle are equal."
[1 Mark]

Q. If a diagonal of a rectangle is inclined to one side of the rectangle at ${35}^{\circ }$, then the acute angle between the diagonals is _____.

1. ${35}^{\circ }$
2. ${60}^{\circ }$
3. ${70}^{\circ }$
4. ${80}^{\circ }$

Q.

In the given figure, if ∠A and ∠C is ${90}^{\circ }$, then, the figure is a parallelogram.

1. False

2. True

Q. It is possible to construct a rectangle ABCD with $AC=8cm$ and $BD=6cm$

1. False
2. True

Q. In the below shown figure, $x={90}^{\circ }$

1. True
2. False

Q. Choose the correct option(s) regarding rectangles:

1. A rectangle is a parallelogram with all sides equal.
2. All angles in a rectangle are equal to ${90}^{\circ }$.
3. All angles in a rectangle are equal to ${180}^{\circ }$.
4. Diagonals of a rectangle are not equal.

Q.

The perimeter of a rectangular piece of paper is 56 cm. If the length is three times its width, find its width.

1. 56 cm

2. 7 cm

3. 21 cm

4. 8 cm

Q. If the length and breadth of a rectangle are doubled, then its perimeter ____.

1. becomes half
2. triples
3. doubles
4. becomes 4 times

Q. The similarity between a square and a rectangle is _____.

1. angles are equal and 45°
2. angles are not equal to 90°
3. sides are equal
4. angles are equal and 90°