Interior Angles of Polygons

jordan.ashton, Dec 17, 2016

Table of Contents

  1. 3-sided Polygons
    1. Interior Angles of Triangles - Investigate
    2. Interior Angles of Triangles - Connect and Apply
  2. 4-sided Polygons
    1. Investigate
  3. 5-sided Polygons
    1. Investigate
  4. Concave Polygons
    1. Concave Polygons

1.

3-sided Polygons

  • 1. Interior Angles of Triangles - Investigate
  • 2. Interior Angles of Triangles - Connect and Apply

1.1.

Interior Angles of Triangles - Investigate

Interior Angles of 3-sided Polygons (Triangles) - Investigate
1. Create a triangle using the Polygon tool.[br][br]2. Use the Angle tool to measure the INTERIOR angles of the triangle.[br] [br]3. What is the sum of the three INTERIOR angles?[br][br]4. Create a different triangle and measure the INTERIOR angles. What do you notice?
– jordan.ashton

1.2.

–

2.

4-sided Polygons

  • 1. Investigate

2.1.

Investigate

Interior Angles of 5-sided Polygons - Investigate
1. Create a 5-sided polygon using the Polygon tool.[br][br]2. Use the Angle tool to measure the INTERIOR angles of the polygon.[br] [br]3. What is the sum of the four INTERIOR angles?[br][br]4. Create a different 5-sided polygon and measure the INTERIOR angles. What do you notice?
– jordan.ashton

3.

5-sided Polygons

  • 1. Investigate

3.1.

– jordan.ashton

4.

Concave Polygons

  • 1. Concave Polygons

4.1.

Concave Polygons

1. What is the sum of the interior angles of this polygon?[br][br]2. Using the red vertex labelled "Move", drag it to another position. What happens to the red angle? What happens to the two angles adjacent (next to) the red angle?[br][br]3. What is the sum of the interior angles of your new polygon?[br][br]4. Move the red vertex towards the green vertex.
– jordan.ashton

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