Section 10.3 More Constructions

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Presentation transcript:

Section 10.3 More Constructions Math 310 Section 10.3 More Constructions

Construction: Review Segment Triangle Angle Perpendicular bisector Circumcenter

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

Construction: 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. right acute obtuse acute right

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)