1. Section 10.3 More Constructions
Math 310
Section 10.3
More Constructions

2. Construction: Review Segment Triangle Angle Perpendicular bisector
Circumcenter

3. Construction: Perpendicular Lines
Through a point not on the line
Through a point on the line

4. Construction: Parallel Lines
Two parallel lines
Through a point
By using perpendicular lines
Quick (using ruler)

5. Construction: Angle Bisector

6. Angle Bisector Theorems
Thrm
Any point P on an angle bisector is equidistant from the sides of the angle.
Any point that is equidistant from the sides of an angle is on the angle bisector of the angle.

7. Ex Construct Altitudes for the following three triangles. right acute
obtuse
acute
right

8. Ex
Given any triangle, construct all of its altitudes and what do you get?

9. Incenter
Def
The incenter is a point for a triangle that is equidistance from all three sides of the triangle. (ie a circle can be inscribed in the triangle)