Properties of Square

Q.

State whether true or false.

All rectangles are squares.

Q. The formula of which regular shapes can be calculated using the formula base*height

Q. Question 152 (i)
A rectangle MORE is shown below.

Answer the following questions by giving an appropriate reason.
Is RE = OM?

Q.

In the above figure, ABCD is a square and BCE is an equilateral triangle, what is the measure of angle DEC?

1. ${15}^{\circ }$
2. ${20}^{\circ }$
3. ${30}^{\circ }$
4. ${45}^{\circ }$

Q. A square is a special type of rectangle.

1. False
2. True

Q.

If diagonals of a square ACBD intersect at P, then the angle CPB is _______ degrees.

1. 270°

2. 90°
3. 360°
4. 180°

Q.

Which of the following is true?

1. None of the above

2. All rectangles are squares

3. All squares are rectangles

4. All rectangles are rhombuses

Q. All squares are rectangles but all rectangles are not squares?

1. True
2. False

Q. The diagonals of a square bisect each other perpendicularly.

1. False
2. True

Q.

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.

1. i, iii, iv

2. ii, iii

3. i, ii

4. None of these

Q. A parallelogram whose all sides are equal and all angles are equal to 90${}^{\circ }$ is a

1. rectangle
2. rhombus
3. square
4. kite

Q. Match the following with the values of 'x'.

1. 90°
2. 100°
3. 75°

Q. Which of the following is not the property of a square?

1. The diagonals of a square bisect each other at right angles.
2. Each angle of a square is a right angle.
3. The diagonals of a square are unequal.
4. The sides of a square are equal.