NCERT Solutions for Class 8th Mathematics – Chapter 3 –  Understanding Quadrilaterals – Exercise 3.1

NCERT Solutions for Class 8th Mathematics – Chapter 3 –  Understanding Quadrilaterals – Exercise 3.1

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
2. How many diagonals does each of the following have?
(a) A convex quadrilateral (b) A regular hexagon (c) A triangle
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 try!)
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

 

5. What is a regular polygon? State the name of a regular polygon of
(i) 3 sides (ii) 4 sides (iii) 6 sides

6. Find the angle measure x in the following figures.

7.

(a) Find x + y + z (b) Find x + y + z + w

You can find the solution for class 7th Mathematics from here
You can find the solutions for previous exercise from here
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