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The Sum of the Interior Angles of a Pentagon

Author:kelseyschilzmted301, Tim Brzezinski, Alfonso Garcia
Topic:Geometry

ABCDE is a Regular Pentagon

Question 1

What is the total of all the interior angles?

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Question 2

Use Points A or B to change the size of the pentagon. What do you notice about the angles as the pentagon changes sizes?

Move Point D from (1,4) to (2,3)

Question 3

What other angles does moving Point D affect?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Question 4

What is point D's angle now?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Use the polygon tool and angle tool to determine if pentagons on a soccer ball are regular or not

Question 5

Are the pentagons on a soccer ball regular pentagons?

Select all that apply
  • A
  • B
Check my answer (3)

Question 6

How did you come to this conclusion?

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Question 7

Using the segment tool in the tool bar, how many triangles can you make in the pentagon?

Select all that apply
  • A
  • B
  • C
  • D
  • E
Check my answer (3)

Question 8: Interior Angles

Use the "slide me" tool, and slide it all the way to the right. What do you notice?

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Question 9: Exterior Angles

Check "show exterior angles" and use the "slide me" tool and slide it all the way to the right. What did you notice this time?

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Question 10

Does moving the points of the pentagon change the interior or exterior angles?

Select all that apply
  • A
  • B
  • C
Check my answer (3)

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