## ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 13 Understanding Quadrilaterals Ex 13.3

Question 1.

Identify all the quadrilaterals that have

(i) four sides of equal length

(ii) four right angles.

Solution:

Question 2.

Explain how a square is

(i) a quadrilateral

(ii) a parallelogram

(iii) a rhombus

(iv) a rectangle.

Solution:

Question 3.

Name the quadrilaterals whose diagonals

(i) bisect each other

(ii) are perpendicular bisectors of each other

(iii) are equal.

Solution:

Question 4.

One of the diagonals of a rhombus and its sides are equal. Find the angles of the rhombus.

Solution:

Question 5.

In the given figure, ABCD is a rhombus, find the values of x, y and z.

Solution:

Question 6.

In the given figure, ABCD is a trapezium. If ∠A : ∠D = 5 : 7, ∠B = (3x + 11)° and ZC = (5x – 31)°, then find all the angles of the trapezium.

Solution:

Question 7.

In the given figure, ABCD is a rectangle. If ∠CEB : ∠ECB = 3 : 2 find

(i) ∠CEB,

(ii) ∠DCF

Solution:

Question 8.

In the given figure, ABCD is a rectangle and diagonals intersect at O. If ∠AOB = 118°, find

(i) ∠ABO

(ii) ∠ADO

(iii) ∠OCB

Solution:

Question 9.

In the given figure, ABCD is a rhombus and ∠ABD = 50°. Find :

(i) ∠CAB

(ii) ∠BCD

(iii) ∠ADC

Solution:

Question 10.

In the given isosceles trapezium ABCD, ∠C = 102°. Find all the remaining angles of the trapezium.

Solution:

Question 11.

In the given figure, PQRS is a kite. Find the values of x and y.

Solution: