Complete the given table with the help of example given: Serial no Name of Polygons No of sides of a polygon No of triangles obtained in a polygon Sum of th internal angles of polygon = No of triangles × 180 ° Sum of internal angles 1 . Quadrilateral 04 02 or 4 - 2 2 × 180 ° 360 ° 2 . Hexagon

With the help of example given we have to complete the given table. Serial no Name of Polygons No of sides of a polygon No of triangles obtained in a polygon Sum of th internal angles of polygon = No of triangles × 180 ° Sum of internal angles 1 . Quadrilateral 04 02 or 4 - 2 2 × 180 ° 360 ° 2 . Hexagon From the given figure of hexagon, we can find all the required values. Number of sides of the polygon = 6 By joining any one of the vertex with all the possible other corners of the polygon, we got 4 triangles. So, number of triangles obtained in the polygon = 4 or 6 - 2 Sum of the internal angles of polygon = No of triangles × 180 ° Sum of the internal angles of polygon = 4 × 180 ° Sum of internal angles = Sum of the internal angles of polygon = 4 × 180 ° = 720 ° Serial no Name of Polygons No of sides of a polygon No of triangles obtained in a polygon Sum of th internal angles of polygon = No of triangles × 180 ° Sum of internal angles 1 . Quadrilateral 04 02 or 4 - 2 2 × 180 ° 360 ° 2 . Hexagon 06 04 or 6 - 2 4 × 180 ° 720 °

Complete the table with the help of given example: Serial no Name of Polygons No of sides of a polygon No of triangles obtained in a polygon Sum of the internal angles of polygon = No of triangles × 180 ° Sum of internal angles 1 . Quadrilateral 04 02 or 4 - 2 2 × 180 ° 360 ° 2 . Heptagon

With the help of example given we have to complete the given table. Serial no Name of Polygons No of sides of a polygon No of triangles obtained in a polygon Sum of the internal angles of the polygon = No of triangles × 180 ° Sum of internal angles 1 . Quadrilateral 04 02 or 4 - 2 2 × 180 ° 360 ° 2 . Heptagon From the given figure of heptagon, we can find all the required values. Number of sides of the polygon = 7 By joining any one of the vertex with all the possible other corners of the polygon, we get 5 triangles. So, number of triangles obtained in the polygon = 5 or 7 - 2 Sum of the internal angles of polygon = No of triangles × 180 ° Sum of the internal angles of polygon = 5 × 180 ° Sum of internal angles = 5 × 180 ° = 900 ° Serial no Name of Polygons No of sides of a polygon No of triangles obtained in a polygon Sum of the internal angles of the polygon = No of triangles × 180 ° Sum of internal angles 1 . Quadrilateral 04 02 or 4 - 2 2 × 180 ° 360 ° 2 . Heptagon 07 05 or 7 - 2 5 × 180 ° 900 °

Complete the given table with the help of example given: Serial no Name of Polygons No of sides of a polygon No of triangles obtained in a polygon Sum of the internal angles of the polygon = No of triangles × 180 ° Sum of internal angles 1 . Quadrilateral 04 02 or 4 - 2 2 × 180 ° 360 ° 2 . Octagon

With the help of example given we have to complete the given table. Serial no Name of Polygons No of sides of a polygon No of triangles obtained in a polygon Sum of the internal angles of the polygon = No of triangles × 180 ° Sum of internal angles 1 . Quadrilateral 04 02 or 4 - 2 2 × 180 ° 360 ° 2 . Octagon From the given figure of Octagon, we can find all the required values. Number of sides of the polygon = 8 By joining any one of the vertex with all the possible other corners of the polygon, we get 6 triangles. So, number of triangles obtained in the polygon = 6 or 8 - 2 Sum of the internal angles of polygon = No of triangles × 180 ° Sum of the internal angles of polygon = 6 × 180 ° Sum of internal angles = 6 × 180 ° = 1080 ° Serial no Name of Polygons No of sides of a polygon No of triangles obtained in a polygon Sum of the internal angles of the polygon = No of triangles × 180 ° Sum of internal angles 1 . Quadrilateral 04 02 or 4 - 2 2 × 180 ° 360 ° 2 . Octagon 08 06 or 8 - 2 6 × 180 ° 1080 °

Complete the given table: Name of the parallel sides Name of the equal sides Type of quadrilateral

Here, we have Parallel sides are sides that will never meet and are always the same distance apart. Here, we can see PS and QR are parallel to each other. Similarly, PQ and SR are parallel sides. We can also see that the opposite sides are having equal length. So, PQ = SR , PS = QR . Since opposite sides are equal and parallel and the adjacent sides of the figure are in form of right angle, so the given figure is a Rectangle. Name of the parallel sides Name of the equal sides Type of quadrilateral PQ ∥ SR and PS ∥ QR PQ = SR , PS = QR Rectangle

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In the figure given below, draw diagonals from any one vertex and find the number of diagonals.

Important Questions on Polygon

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Mathematics Class - VIII>Chapter 10 - Polygon>Activity 3>Q 1

For the quadrilateral given below, draw the diagonals and find the answers of the following questions:

In how many triangles did the quadrilateral get divided?

Is the sum of internal angles of the two triangles equal to the sum of internal angles of the quadrilateral?

What is the value of the sum of internal angles of a triangle?

What is the sum of internal angles of a quadrilateral?

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Mathematics Class - VIII>Chapter 10 - Polygon>Activity 3>Q 2

For the quadrilateral given below, draw the diagonals and find the answers of the following questions:

In how many triangles did the quadrilateral get divided?

Is the sum of internal angles of the two triangles equal to the sum of internal angles of the quadrilateral?

What is the value of the sum of internal angles of a triangle?

What is the sum of internal angles of a quadrilateral?

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Mathematics Class - VIII>Chapter 10 - Polygon>Activity 3>Q 3

For the quadrilateral given below, draw the diagonals and find the answers of the following questions:

In how many triangles did the quadrilateral get divided?

Is the sum of internal angles of the two triangles equal to the sum of internal angles of the quadrilateral?

What is the value of the sum of internal angles of a triangle?

What is the sum of internal angles of a quadrilateral?

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Mathematics Class - VIII>Chapter 10 - Polygon>Activity 3>Q 4

For the quadrilateral given below, draw the diagonals and find the answers of the following questions:

In how many triangles did the quadrilateral get divided?

Is the sum of internal angles of the two triangles equal to the sum of internal angles of the quadrilateral?

What is the value of the sum of internal angles of a triangle?

What is the sum of internal angles of a quadrilateral?

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IMPORTANT

Mathematics Class - VIII>Chapter 10 - Polygon>Activity 4>Q 1

Complete the given table with the help of example given:

Serial no	Name of Polygons	No of sides of a polygon	No of triangles obtained in a polygon	Sum of th internal angles of polygon $=$ No of triangles $\times 180 °$	Sum of internal angles
$1 .$	Quadrilateral	$04$	$02$ or $(4 - 2)$	$2 \times 180 °$	$360 °$
$2 .$	Hexagon

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8th Chhattisgarh Board

IMPORTANT

Mathematics Class - VIII>Chapter 10 - Polygon>Activity 4>Q 1

Complete the table with the help of given example:

Serial no	Name of Polygons	No of sides of a polygon	No of triangles obtained in a polygon	Sum of the internal angles of polygon $=$ No of triangles $\times 180 °$	Sum of internal angles
$1 .$	Quadrilateral	$04$	$02$ or $(4 - 2)$	$2 \times 180 °$	$360 °$
$2 .$	Heptagon

HARD

8th Chhattisgarh Board

IMPORTANT

Mathematics Class - VIII>Chapter 10 - Polygon>Activity 4>Q 1

Complete the given table with the help of example given:

Serial no	Name of Polygons	No of sides of a polygon	No of triangles obtained in a polygon	Sum of the internal angles of the polygon $=$ No of triangles $\times 180 °$	Sum of internal angles
$1 .$	Quadrilateral	$04$	$02$ or $(4 - 2)$	$2 \times 180 °$	$360 °$
$2 .$	Octagon

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IMPORTANT

Mathematics Class - VIII>Chapter 10 - Polygon>Activity 5>Q 1

Complete the given table:

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Name of the parallel sides	Name of the equal sides	Type of quadrilateral

In the figure given below, draw diagonals from any one vertex and find the number of diagonals.

Important Questions on Polygon

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