NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.1 are part of NCERT Solutions for Class 8 Maths. Here we have given NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.1.

- Understanding Quadrilaterals Class 8 Ex 3.2
- Understanding Quadrilaterals Class 8 Ex 3.3
- Understanding Quadrilaterals Class 8 Ex 3.4

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 8 |

Subject |
Maths |

Chapter |
Chapter 3 |

Chapter Name |
Understanding Quadrilaterals |

Exercise |
Ex 3.1 |

Number of Questions Solved |
7 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.1

**Question 1.**

**Given here are some figures :**

**Classify each of them on the basis of the following :**

**(a)** Simple curve

**(b)** Simple closed curve

**(c)** Polygon

**(d)** Convex polygon

**(e)** Concave polygon

**Solution.**

**(a)** ⟷ 1, 2, 5, 6, 7

**(b)** ⟷ 1, 2, 5, 6, 7

**Question 2.**

**How many diagonals does each of the following have?**

**(a)** A convex quadrilateral

**(b)** A regular hexagon

**(c)** A triangle.

**Solution.**

**(a)** → 2

**(b)** → 9

**(c)** → 0

**Question 3.**

What is the sum of the measures of the angles of a convex quadrilateral? Will this property hold if the quadrilateral is not convex? (Make a non-convex quadrilateral and j try!)

**Solution.**

The sum of the measures of the angles of a convex quadrilateral is 360°.

Yes! this property will hold if the; quadrilateral is not convex.

If the quadrilateral is not convex, then it will be concave.

Split the concave quadrilateral ABCD into two triangles ABD and CBD by joining BD.

**Question 4.**

Examine the table. (Each figure is divided into triangles and the sum of the angles deduced from that.)

What can you say about the angle sum of a convex polygon with number of sides ?

**(a)** 7

**(b)** 8

**(c)** 10

**(d)** n

**Solution.**

**(a)** 7

Angle sum = \(\left( 7-2 \right) \times { 180 }^{ \circ }\)

= \(5\times { 180 }^{ \circ }={ 900 }^{ \circ }\)

**(b)** 8

Angle sum = \(\left( 8-2 \right) \times { 180 }^{ \circ }\)

= \(6\times { 180 }^{ \circ }={ 1080 }^{ \circ }\)

**(c)** 10

Angle sum = \(\left( 10-2 \right) \times { 180 }^{ \circ }\)

= \(8\times { 180 }^{ \circ }={ 1440 }^{ \circ }\)

**(d)** n

Angle sum = \(\left( n-2 \right) \times { 180 }^{ \circ }\)

**Question 5.**

What is a regular polygon? State the name of a regular polygon of

**(i)** 3 slides

**(ii)** 4 slides

**(iii)** 6 slides

**Solution.**

A polygon, which is both ‘equilateral’ and ‘equiangular’, is called a regular polygon.

**(i)** 3 slides

The name of the regular polygon of 3 slides is an equilateral triangle.

**(ii)** 4 slides

The name of the regular polygon of 4 slides is square

**(iii)** 6 slides

The name of the regular polygon of 6 slides is a regular hexagon

**Question 6.**

Find the angle measure x in the following figures.

**Solution.**

**Question 7.**

**(a)** Find x+y+z

**(b)** Find x+y+z+w.

**Solution.**

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