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5-1 Special Segments in Triangles

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

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5-1 Special Segments in Triangles

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

  2. 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

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

  4. 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

  5. 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

  6. Example 1: • If SU is a median of ∆RST, find SR. S 4x + 11 T R 3x + 7 U 5x - 13

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

  8. Exit Ticket • Find BC if CD is a median of ∆ABC. C 3x + 8 A D B 4x + 5 x + 20

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