Math 310

- Section 10.3
- More Constructions

Construction Review

- Segment
- Triangle
- Angle
- Perpendicular bisector
- Circumcenter

Construction Perpendicular Lines

- Perpendicular line
- Through a point not on the line
- Through a point on the line

Construction Parallel Lines

- Parallel Lines
- Two parallel lines
- Through a point
- By using perpendicular lines
- Quick (using ruler)

Construction Angle Bisector

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.

Ex

- Construct Altitudes for the following three

triangles.

Ex

- Given any triangle, construct all of its

altitudes and what do you get?

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)