Triangle Sum Theorem Exploration

Autore:Tara Michels, Sureshbabu P P

Use the "Move this for different triangles" button to move the vertices of the triangles around. See if you notice a pattern in how the angles are releated and with the total sum of the triangles.

What pattern did you notice about the angles in the triangle?

Sum of Interior Angles

Add the angles of the triangle together. What is the sum?

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A
360 degrees
B
180 degrees
C
270 degrees

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Relationship of angles

If you move 1 vertex around, can you make the other two angles larger at the same time?

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A
Yes you can make the other two angles larger at the same time.
B
No as one gets larger, the other gets smaller

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Exterior Angles

Click on the "Move" button. What did you notice happen with the angle and exterior angles(those that form a linear pair with the vertex)?

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A
The triangle vertex and the other angles form a straight line.
B
The triangle vertex and the other angles for a right angle.

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Triangle Sum Theorem Exploration

Sum of Interior Angles

Relationship of angles

Exterior Angles

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