Find the missing angle 80 0 20 0 ?0?0. Special Segments in Triangles.

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Presentation transcript:

Find the missing angle ?0?0

Special Segments in Triangles

Altitude A Line segment perpendicular to a side that goes through the opposite vertex

Altitude Every Triangle has 3 Altitudes

Altitude Some Altitudes are External

Altitude Right triangles have 2 altitudes that are sides

Median A Line segment bisecting a side that goes through the opposite vertex

Median A Line segment bisecting a side that goes through the opposite vertex

Median Every Triangle has 3 medians

Angle Bisector A line segment bisecting an Angle that stops at the opposite side

Angle Bisector Every Triangle has 3 angle bisectors

Perpendicular Bisector A line bisecting a side that is perpendicular to it

Perpendicular Bisector Every triangle has 3 Perpendicular Bisectors

Equidistant An Equal distance away from 2 or more points

Equidistant C B A If AC Then A is Equidistant to B and C

Perpendicular Bisector Equidistance Theorems A C B If a point is equidistant to the endpoints of a line segment then that point lies on the perpendicular bisector of the line segment

Perpendicular Bisector Equidistance Theorems A C B If a point lies on the perpendicular bisector of a line segment then that point is equidistant to the endpoints of that line segment

Angle Bisector Equidistance Theorems D T R S Any point on the angle bisector is equidistant from the sides of an angle

Angle Bisector Equidistance Theorems D T R S Any point equidistant from the sides of an angle lies on the angle bisector of that angle

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