**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 **CISCE** for detail information about ICSE Board Class-8 Mathematics.

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

**–: Select Topics :–**

**Notes on Quadrilaterals**

**quadrilateral**is a closed figure obtained by joining four point (with no three points col linear) in an order. Every

**quadrilateral**has :

**TYPES OF QUADRILATERALS**

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 3:

…………………

………………….

………………….

#### 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 3:

…………………

………………..

………………….

#### 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.

#### Answer :

(b) rectangle

#### Question 2:

Diagonals of ………….. except.

#### Answer :

(d) Kite.

#### Question 3:

Diagonals are …………….. except

#### Answer :

(d) Rhombus

#### Question 4:

If the ………… is a

#### Answer :

(a) rectangle

#### Question 5:

If the adjacent …………… parallelogram is a

#### Answer :

(c) Rhombus

#### Question 6:

Consider the ………………… is/are correct

#### Answer :

(c)

#### Question 7:

The angle of ………….. smallest angle is

#### Answer :

(d) 40 degree

#### Question 8:

The angle ABC……………….. Then ABCD is a

#### Answer :

(c) ABCD is a trapezium AB || CD

#### Question 9:

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

#### Answer :

(d) 7 : 2

#### Question 10:

In the given ………………….are

#### Answer :

(b)

#### Question 11:

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

#### Answer :

(b) 50 degree

#### Question 12:

In a …………… angle AEB = ?

#### Answer :

(c) 90 degree

#### Question 13:

In the figure …………….. then x equal.

#### Answer :

(d) 18

#### Question 14:

What value …………… a parallelogram ?

#### Answer :

(d)

#### Question 15:

Which expression ………………… ABCD ?

#### Answer :

(d) (180- – 2x)

#### Question 16:

In the adjoining ……………… is equal to.

#### Answer :

(d)

#### Question 17:

In a …………. are respectively

#### Answer :

(c) 180, 0 degrees

** **

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

#### Question 1:

Fill in the blanks ;

(i) …………..

…………………

#### Answer :

(i) Square

(ii) supplementary

(iii) x = 8 cm

(iv) square.

(v) Opposite angles

(vi) Kite

#### Question 2:

Write true or False ;

(i)…………….

………………….

#### Answer :

(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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