Math 310 - PowerPoint PPT Presentation

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Math 310

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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

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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)
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