"Exploring the Sum of Interior Angles of Polygons" Triangles, Parallelograms and Trapezoid PPT Courseware

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"Exploring the Sum of Interior Angles of Polygons" Triangles, Parallelograms and Trapezoid PPT Courseware

There were many beautifully designed polygonal flower beds at the 2008 Beijing Olympics. I wonder if there is a polygonal flower bed whose interior angles sum to 2008°?

Concepts related to polygons.

Definition: In a plane, a closed figure composed of several line segments that are not on the same straight line connected end to end is called a polygon.

A line segment connecting two non-adjacent vertices is called a diagonal.

As shown in the picture:

How many diagonals are there in pentagon ABCDE?

think about it

We know that the sum of the interior angles of a triangle is ( ) degrees, and the sum of the interior angles of a quadrilateral is ( ) degrees. What about the sum of the interior angles of this pentagon?

Xiao Ming used the picture on the right to find the sum of the interior angles of the pentagon. Do you know how he did it?

can i say

1. If you know the number of sides of a polygon, you can tell the degree of the polygon.

2. If you know the degree of a polygon, you can tell the number of sides of the polygon.

Test you, can you do it?

1. ___ The sum of the interior angles of a side is twice the sum of the interior angles of a quadrilateral.

2. If the number of sides of a polygon increases by 1, the sum of the interior angles increases by ( ).

3. It is known that the sum of the interior angles of a polygon is equal to 1080º, find the number of its sides.

4. It is known that each interior angle of a polygon is equal to 150°. Find the number of sides and the sum of its interior angles.

5. Divide the polygon into 5 triangles by taking all the diagonals passing through a vertex of a polygon. How many sides does this polygon have? What is the sum of its interior angles?

What did you gain today?

1. The definition of polygon and the definition of regular polygon.

2. Sum of interior angles theorem of polygons.

3. Know the various methods of solving the sum of the interior angles of a polygon.

4. Be able to use the sum of interior angles theorem of polygons to perform relevant ( ) calculations.

5. In the process of exploration, we used mathematical methods of observation and induction, and applied mathematical ideas such as analogy and transformation.

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For more information about the PPT courseware "Triangles, Parallelograms and Trapezoids Exploring the Sum of the Interior Angles of Polygons", please click the Triangles, Parallelograms and Trapezoid ppt Exploring the Sum of the Interior Angles of Polygons ppt tag.

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Update Time: 2024-09-09

This template belongs to Mathematics courseware Jiangsu Education Edition Fourth Grade Mathematics Volume 2 industry PPT template

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