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8.G.A.5 Triangle Angle Relationships
- Exploring Angle Relationships with Triangles
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8.G.A.5 Triangle Angle Relationships
Jenny Novak, Jun 15, 2015
In this GeoGebraBook students will explore triangle sum and exterior angle relationships.
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1. Exploring Angle Relationships with Triangles
Exploring Angle Relationships with Triangles
Directions
For each of the following applets, explore the given angle relationships in order to make generalizations about the relationships between the angles.
Part I: Angle Sum in a Triangle
What do you notice about the measures of the angles in triangle ABC?
Move points A, B, and C to create different triangles. What do you notice about the angles in the new triangle? Will this always be true?
8.G.A.5 Angle Sum
Part II: Exterior Angles 1
Angles BAD, CBE, and ACF are exterior angles of triangle ABC. What do you notice about the exterior angles of this triangle?
Move points A, B, and C to create different triangles. What do you notice about the exterior angles in the new triangles? Will this always be true?
8.G.A.5 Exterior Angles 1
Part III: Exterior Angles 2
Angles CAH, ABI, and BCJ are also exterior angles of triangle ABC. What do you notice about the angles of this triangle?
Move points A, B, and C to create different triangles. What do you notice about the exterior angles in the new triangles? Will this always be true?
8.G.A.5 Exterior Angles 2
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