# Quadrilaterals Class-8 RS Aggarwal ICSE Maths Goyal Brothers

Quadrilaterals Class-8 RS Aggarwal ICSE Maths Goyal Brothers Prakashan Solutions Chapter-17. We provide step by step Solutions of Exercise / lesson-17 Quadrilaterals  for ICSE Class-8  RS  Aggarwal Mathematics.

Our Solutions contain all type Questions of Exe-17 A, Exe-17 B, Exe-17 C, (MCQ) and Mental Maths with Notes to develop skill and confidence. Visit official Website for detail information about ICSE Board Class-8 Mathematics.

## Quadrilaterals Class-8 RS Aggarwal ICSE Maths Goyal Brothers Prakashan Solutions Chapter-17

–: Select Topics :–

Exe-17 A,

Exe-17 B,

MCQs, Exe-17 C,

Mental Maths

A quadrilateral is a closed figure obtained by joining four point (with no three points col linear) in an order. Every quadrilateral has :
(i) Four vertices,
(ii) Four sides,
(iii) Four angles and
(iv) Two diagonals.

1. Trapezium : It is quadrilateral in which one pair of opposite sides are parallel.

2. Parallelogram : It is a quadrilateral in which both the pairs of opposite sides are parallel.

3. Rectangle : It is a quadrilateral whose each angle is 90°.

4. Rhombus : It is a quadrilateral whose all the sides are equal.

5. Square : It is a quadrilateral whose all the sides are equal and each angle is 90°.

6. Kite : It is a quadrilateral in which two pairs of adjacent sides are equal.

Note :

• Square, rectangle and rhombus are all parallelograms.
• Kite and trapezium are not parallelograms.
• A square is a rectangle.
• A square is a rhombus.
• A parallelogram is a trapezium.

#### PARALLELOGRAM:

A parallelogram is a quadrilateral in which opposite sides are parallel

#### PROPERTIES OF PARALLELOGRAM:

1. A diagonal of a parallelogram divides it into two congruent triangles.

2. The opposite sides of a parallelogram are equal.

Theorem : If each pair of opposite sides of a quadrilateral is equal, then it is a parallelogram.

3. The opposite angles of a parallelogram are equal.

Theorem : If in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram.

4. The diagonals of a parallelogram bisect each other.

Theorem : If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.

### Exe-17-A Quadrilaterals Class-8 RS Aggarwal ICSE Maths Goyal Brothers Prakashan Solutions

#### Question 1:

Three angle of quadrilateral ……………. of the fourth angle.

#### Question 2:

the angle of a …………………….. of each angle.

…………………

………………….

………………….

#### Question 10:

If O is a point with in quadrilateral ABCD Prove that.

………………

### Quadrilaterals Exe-17-(B, )Class-8 RS Aggarwal ICSE Maths Goyal Brothers Prakashan Solutions

#### Question 1:

In the figure, given below ABCD is ………………………..angle of parallelogram.

#### Question 2:

In a parallelogram ABCD ……………….. angle of ABCD.

…………

…………………

………………..

………………….

#### Question 21:

Which of the following statement are true ?

(i) Every square is a rectangle.

(ii)…………..

……………..

MCQs, Exe-17-(C, )Quadrilaterals Class-8 RS Aggarwal ICSE Maths Goyal Brothers Prakashan Solutions

Multiple Choice Questions

Choose the correct option in each of the following

#### Question 1:

The degree of each of the ………………. except.

(b) rectangle

#### Question 2:

Diagonals of ………….. except.

(d) Kite.

#### Question 3:

Diagonals are …………….. except

(d) Rhombus

If the ………… is a

(a) rectangle

#### Question 5:

If the adjacent …………… parallelogram is a

(c) Rhombus

#### Question 6:

Consider the ………………… is/are correct

(c)

#### Question 7:

The angle of ………….. smallest angle is

(d) 40 degree

#### Question 8:

The angle ABC……………….. Then ABCD is a

(c) ABCD is a trapezium AB || CD

#### Question 9:

If the adjacent ……………. these angles is

(d) 7 : 2

#### Question 10:

In the given ………………….are

(b)

#### Question 11:

In the adjoining figure ………………. ABCD measurers

(b) 50 degree

#### Question 12:

In a …………… angle AEB = ?

(c) 90 degree

#### Question 13:

In the figure …………….. then x equal.

(d) 18

#### Question 14:

What value …………… a parallelogram ?

(d)

#### Question 15:

Which expression ………………… ABCD ?

(d) (180- – 2x)

#### Question 16:

In the adjoining ……………… is equal to.

(d)

#### Question 17:

In a …………. are respectively

(c) 180, 0 degrees

### Mental Maths Quadrilaterals Chapter-17 Class-8 RS Aggarwal

#### Question 1:

Fill in the blanks ;

(i) …………..

…………………

(i) Square

(ii) supplementary

(iii) x = 8 cm

(iv) square.

(v) Opposite angles

(vi) Kite

#### Question 2:

Write true or False ;

(i)…………….

………………….

(i) True

(ii) False

(iii) False

(iv) False

(v) True

(vi) False

(vii) False

–: End of Quadrilaterals Class-8 RS Aggarwal  Solutions :–

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