Properties of Rectangle

Q. The diagonals of a rectangle do not necessarily bisect the interior angles at the vertices. Why??

Q. Which of the following are true for a square?

1. The diagonals are of equal length.
2. The diagonals bisect each other at right angles.
3. Each of the angles is a right angle.
4. All the angles and sides are of equal length.

Q.

Which of the following is the property of a square?

1. Both diagonals are equal

2. All angles are equal

3. All sides are equal

4. All of These

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.

Which of the following is not a property of parallelogram?

1. Adjacent sides are not equal

2. Opposite sides are equal

3. Diagonals are equal

4. Opposite angles are equal

Q. Given that ABCD is a rectangle as shown in the figure, AC = $\times$ OB

Q.

Which one of the following is/are correct?

1. x + y + z = A + z

2. x + y + z = A

3. 2A > x + y

4. A > x + y

Q. Question 112
State whether the statements are True or False.
Diagonals of a rectangle bisect each other at right angles.

Q. Diagonals of which of the following figures are not perpendicular to each other?

1. Rhombus
2. None of the above.
3. Square
4. Rectangle

Q. If two angles in a rectangle are (x+30)° and (y+50)°, then the value of 'x+y' is

1. 80°
2. 90°
3. 100°
4. 110°

Q. The diagonals of a rectangle are of unequal length.

1. True
2. False

Q. The diagonals of a rectangle ABCD intersect at O. If $\angle BOC={68}^{\circ }$, then $\angle ODA$ is

1. ${56}^{\circ }$
2. ${68}^{\circ }$
3. ${72}^{\circ }$
4. ${112}^{\circ }$

Q. Diagonals of which of the following figures are not perpendicular to each other?

1. Square
2. Rectangle
3. Rhombus
4. None of the above.

Q. If two angles in a rectangle are $(x+30)°$ and $(y+50)°$, then the value of 'x + y' is .

1. 90°
2. 80°
3. 110°
4. 100°

Q. If two angles in a rectangle are $(x+30)°$ and $(y+50)°$, then the value of 'x + y' is .

1. 80°
2. 90°
3. 100°
4. 110°

Q. Which of these is not a property of rectangle?

1. Opposite sides are equal.
2. Adjacent sides are perpendicular to each other.
3. The diagonals are of equal length and intersect perpendicularly.
4. The diagonals are of equal length and bisect each other.

Q. The sides of a rectangle whose area is 216 $c{m}^2$ are in the ratio 2:3. Find its perimeter.

1. 5 cm
2. 6 cm
3. 30 cm
4. 60 cm

Q. If two angles in a rectangle are (x+30)° and (y+50)°, then the value of 'x+y' is

1. 80°
2. 90°
3. 100°
4. 110°

Q. equal is not the property of a rectangle.

1. Equal opposite sides
2. Equal diagonals
3. Equal adjacent sides

Q. If PQRS is a rectangle, then the length of each diagonal is:

1. 144 cm
2. 63 cm
3. 120 cm
4. 122 cm

Q.

Diagonals are not perpendicular in

1. Kite

2. Rectangle

3. Rhombus

4. Square