Square

Q.

Question 1 (c)

Say True or False:

The diagonals of a square are perpendicular to one another, i.e each bisector divides the other into two equal parts. Also, since they are perpendicular to each other, they create a right angle at the point of intersection.

Q.

A square can be thought of as a special rectangle because

1. diagonals of a rectangle bisect at 90°.

2. a rectangle with equal sides becomes a square.

3. adjacent sides of a rectangle is equal.

4. opposite sides of a square are perpendicular.

Q. Which shape will come next in the series: Hexagon, Pentagon, Square?

1. Triangle
2. Circle
3. Line
4. Rectangle

Q. Find the length of each side of a square whose perimeter is 36 cm.

Q. A rhombus that is a rectangle is called a ____.

1. Circle
2. Triangle
3. Trapezium
4. Square

Q. _______ is a quadrilateral whose diagonals are equal and bisect each other at right angles.

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

Q.

A square has -

1. All sides equal and diagonals unequal

2. All sides equal and diagonals equal

3. All sides unequal and diagonals equal

4. Only opposite sides equal and unequal diagonals.

Q.

Name the quadrilateral whose diagonals are equal and the adjacent sides are equal.

1. Square

2. Rectangle

3. Trapezium

4. Rhombus

Q. What is difference between square and rectangle?

Q.

Question 2 (a)

Give reasons for the following:

A square can be thought of as a special rectangle.

Q.

Given the sides of a quadrilateral are of equal length and each of its angles measures the same which is when the minute hand moves from 3 to 6. Find the angle between the diagonals. [3 MARKS]

Q.

Explain How a square Is a Rectangle.

Q.

Name a regular quadrilateral .

Q. Name this quadrilateral, using its most specific name.

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

Q. If the perimeter of a square is 30 cm more than its side, then what is the side of the square?​

1. 12 cm
2. 7.5 cm
3. 6 cm
4. 10 cm

Q.

ABCD is a parallelogram. What kind of quadrilateral will it be if, AC = BD and AC is perpendicular to BD?

1. Rectangle

2. Square

3. Parallelogram

4. Rhombus

Q.

Find the sides of the square whose perimeter is $20m$.

Q. Find the length of each side of a square whose perimeter is 36 cm.

Q. If the perimeter of a square is 36 cm, then the length of each side will be ____ cm.

1. 9

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

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

Q.

Given the sides of a quadrilateral are of equal length and each of its angles measures the same which is when the minute hand moves from 3 to 6. Find the angle between the diagonals.[3 MARKS]

Q.

A figure is said to be regular if its sides are equal in length and angles are equal in measure.

Which of the following is a regular quadrilateral?

1. Rectangle

2. Rhombus

3. Parallelogram

4. Square

Q.

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

1. 1, 2 and 3

2. 2, 3 and 4

3. 3, 4 and 5

4. All of them

Q.

A square is a rectangle?

Q.

In Fig(i), AB || CD and in Fig(ii) shows a paralellogram with two adjacent sides equal and one angle ${90}^{\circ }$.

Identify the two figures.

1. Fig(i) is a parallelogram and fig(ii) is a rhombus

2. Fig(i) is a trapezium and fig(ii) is a rhombus

3. Fig(i) is a parallelogram and fig(ii) is a square

4. Fig(i) is a trapezium and fig(ii) is a square

Q.

Name the quadrilaterals which have the following properties.

A rhombus whose each angle is a right angle.

Q.

In square PQRS if $PQ=(3x-7)$ units and $QR=(x+3)$ units, Find PS.

1. 12 units

2. 10 units

3. 8 units

4. 6 units

Q.

A parallelogram whose sides and angles are equal is known as a ___.

1. Square

2. Tripezium

3. Parallelogram

4. Pentagon

Q. Which of the following is a property of square?

1. All four angles of a square are unequal in length.
2. The diagonals of a square bisect each other and meet at 90°
3. All four sides of a square are unequal in length.
4. Opposite sides of a square are neither parallel nor equal in length.

Q.

You see a stone tablet of area 4 sq yd inside the museum. If the area of a plate 1/4 of a sq yd, find how many plates can be arranged on the tablet.

1. 4
2. 8
3. 16
4. 20