Segments & Lines in Triangles
1. The perpendicular bisector of a segment is a line that cuts the segment in half and is perpendicular to it. Create a perpendicular bisector to the segment and change to color of the perpendicular bisector to blue. Also, make it so it only shows inside the triangle.
2. Does a segment bisector have to go through a vertex of a triangle?
3. An angle bisector is a line that cuts an angle in half. Create an angle bisector of and make the color of the angle bisector red.
4. Do angle bisectors have to go through a midpoint of a side of a triangle?
5. A median of a triangle is a line segment connecting a vertex of a triangle to the midpoint of the opposite side. Color the median green.
6. Does a median need to bisect an angle?
7. Is a median a segment bisector?
8. Does a median need to be perpendicular to a side of a triangle?
9. An altitude of a triangle is a segment perpendicular to a side of a triangle with an endpoint at a vertex of the triangle. The altitude of a triangle is used to find the height of a triangle. Construct the altitude in the triangle below and color it orange.
10. In the triangle below construct a blue perpendicular bisector to , a red angle bisector that bisects , a green median with endpoint at vertex B, and an orange altitude perpendicular with . Then move the vertices of the triangle around to create a triangle that where none of the colored segments coincide.