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.

Question 1 (b)

Say True or False:

The opposite sides of a rectangle are equal in length.

Q.

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

1. Square

2. Rectangle

3. Trapezium

4. Rhombus

Q. In rectangle, do diagonals are perpendicular to each other?

Q. Which of the following quadrilaterals have diagonals that are perpendicular to each other?

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

Q.

A quadrilateral having all the angles equal to ${90}^{\circ }$ is a ___

1. Square

2. Tripezium

3. Parallelogram

4. Pentagon

Q.

Assertion: The consecutive sides of a quadrilateral have one common point.

Reason: The opposite sides of a quadrilateral have two common point

1. If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

2. If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.

3. If Assertion is correct but Reason is incorrect.

4. If Assertion is incorrect but Reason is correct.

Q.

Give reasons for the following:

A rectangle can be thought of as a special parallelogram.

Q. Name the following parallelograms :
i) Adjacent sides are equal, diagonals are unequal.
ii) Adjacent sides are unequal, but adjacent angles are equal.
iii) The diagonals are equal and the adjacent sides are unequal.
iv) The diagonals intersect at right angle and adjacent sides are equal.
v) All sides are equal and diagonals are equal.
vi) Adjacent angles are equal, diagonals are equal, adjacent sides are unequal.

Q.

Question 2 (b)

Give reasons for the following:

A rectangle can be thought of as a special parallelogram.

Q. A square is a type of .

1. rectangle
2. triangle
3. circle

Q. Which of the following statements holds true for a square?

1. The sides are unequal in length.
2. Opposite sides are not parallel to each other.
3. All angles are equal.
4. None of the above

Q. In a rectangle, all the four angles are equal and each angle measures .

1. ${90}^{\circ }$
2. ${180}^{\circ }$
3. ${360}^{\circ }$

Q. Given below is a rectangle ABCD. Find the value of x.

1. 2 cm
2. 4 cm
3. 6 cm
4. 8 cm

Q. The diagonals of a rectangle are:

1. Equal
2. Parallel
3. Perpendicular
4. Skewed

Q.

If opposite angles of a parallelogram are supplementary, then the parallelogram is -

1. rhombus

2. Hexagon

3. Trapezium

4. rectangle

Q. In the given figure, the opposite sides are equal and all angles are 90°, it is a __________

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

Q.

Is every square a rectangle ?

Q. A quadrilateral having two pairs of equal adjacent sides but unequal opposite sides is called a

(a) trapezium
(b) parallelogram
(c) kite
(d) rectangle

Q. Arrange the given shapes in increasing order according to the measure of their angles inside them.

Q.

Are the two adjacent sides of the television screen parallel?

Q.

The diagonals of a rectangle:

1. are equal in length

2. parallel to each other

3. perpendicular to each other

4. bisect each other

Q.

Identify the quadrilateral in which all the sides and angles are equal.

1. End Point of secant

2. Tangent

3. Point of secant

4. Point of contact

Q.

Match the following:

$$\begin{array}{cc}\text{Quadrilateral}& \text{Properties}\\ 1.\text{Trapezium}& A)\text{A parallelogram, where diagonals bisect at right angles, all sides are equal and none of the angles are equal to}{90}^{\circ }\\ 2.\text{Square}& B)\text{A quadrilateral, where only one pair of opposite sides are parallel and unequal}\\ 3.\text{Rectangle}& C)\text{A parallelogram, where diagonals are equal, all sides equal and all the angles are}{90}^{\circ }\\ 4.\text{Rhombus}& D)\text{A parallelogram, where diagonals and opposite sides are equal, and all the angles are}{90}^{\circ }\end{array}$$

1. 1 - B, 2 - C, 3 - D, 4 - A

2. 1 - C, 2 - B, 3 - D, 4 - A

3. 1 - C, 2 - B, 3 - A, 4 - D

4. 1 - A, 2 - B, 3 - C, 4 - D

Q. The triangle ABC has $AB=5cm$, $AC=8cm$ and $BC=9cm$. Then

1. The triangle ABC is obtuse angled
2. The triangle ABC is not obtuse angled
3. None of the above statements is correct
4. The triangle ABC is right-angled

Q.

Give reasons for the following:

A rectangle can be thought of as a special parallelogram.

Q. Jenna takes a sheet of paper and divides it into four equal parts. She then draws a pattern on three parts but is interrupted by her friends.
Jake, Jenna's brother, thinks of completing the last part.
Find which pattern will complete the last part.

1. 
2. 
3. 
4. 

Q. Construct the incircle of the equilateral triangle whose one side is $8cm$.

Q. There is a rectangular lawn $10m$ long and $4m$ wide in front of Meena’s house (as shown in figure below). It is fenced along the two smaller sides and one longer side leaving a gap of $1m$ for the entrance. Find the length of fencing.
[4 marks]

Q.

Each angle of the given quadrilateral is (x + 5)°.

What type of quadrilateral is ABCD ?

1. Rectangle

2. Square

3. Parallelogram

4. Rhombus