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5-1 Special Segments in Triangles Objective: Use medians, angle bisectors, perpendicular bisectors and altitudes to solve problems. RELEVENCE: Construction

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Perpendicular Bisector of a Triangle A line or line segment that passes through the midpoint of a side of a triangle and is perpendicular to that side. Perpendicular Bisector

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Median of a Triangle A segment that joins a vertex of the triangle and the midpoint of the opposite side. Median

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Altitude of a Triangle A segment from a vertex of the triangle to the line containing the opposite side and perpendicular to the line containing that side. Altitude

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Angle Bisector of a Triangle A segment that bisects an angle of the triangle and has one endpoint at a vertex of the triangle and the other endpoint at another point on the triangle. Angle Bisector

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Example 1: If SU is a median of RST, find SR. R S T U 3x + 7 5x x + 11

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Example 2: If GM is an angle bisector, find m IGM. GH I M (x + 12)° m IGH = (3x – 5)°

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Exit Ticket Find BC if CD is a median of ABC. AB C D 4x + 5x x + 8

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