Use the triangles below to work through proving the Base Angle Theorem. Manipulate the red triangle and blue triangle by dragging one of the vertices.
The following questions pertain to the red triangle:
1)Explain the importance(role) of the bisector of triangle ABC in proving the base angle theorem.
2)Based on the base angle theorem, what are the angles of BAC and ACB?
3)Move the vertices of the red triangle to manipulate the shape and length of the triangle. Does this compromise the base angle theorem? Why/Whynot?
The following questions pertain to the blue triangle:
3) Can we use the base angle theorem to determine the two missing angles? Why/Why not.
4) Move the vertices of the blue triangle to manipulate the shape and length of the triangle so that you can use the base angle theorem to calculate the two missing angles.
5) Provide a proof for your adjusted blue triangle that angle B = angle C.
1)Explain the importance(role) of the bisector of triangle ABC in proving the base angle theorem.
2)Based on the base angle theorem, what are the angles of BAC and ACB?
3)Move the vertices of the red triangle to manipulate the shape and length of the triangle. Does this compromise the base angle theorem? Why/Whynot?
The following questions pertain to the blue triangle:
3) Can we use the base angle theorem to determine the two missing angles? Why/Why not.
4) Move the vertices of the blue triangle to manipulate the shape and length of the triangle so that you can use the base angle theorem to calculate the two missing angles.
5) Provide a proof for your adjusted blue triangle that angle B = angle C.