# Math 310 - PowerPoint PPT Presentation

Title:

## Math 310

Description:

### Angle. Perpendicular bisector. Circumcenter. Construction: Perpendicular Lines ... Any point P on an angle bisector is equidistant from the sides of the angle. ... – PowerPoint PPT presentation

Number of Views:26
Avg rating:3.0/5.0
Slides: 10
Category:
Tags:
Transcript and Presenter's Notes

Title: Math 310

1
Math 310
• Section 10.3
• More Constructions

2
Construction Review
• Segment
• Triangle
• Angle
• Perpendicular bisector
• Circumcenter

3
Construction Perpendicular Lines
• Perpendicular line
• Through a point not on the line
• Through a point on the line

4
Construction Parallel Lines
• 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.

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)