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Special Segments in Triangles

Special Segments in Triangles. Section 5-1. Perpendicular Bisector -. a line or line segment that passes through the midpoint of a side of a triangle and is perpendicular to that side of the triangle. XY is bisector of AB. X. A. B. Y. Theorem 5-1.

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Special Segments in Triangles

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  1. Special Segments in Triangles Section 5-1

  2. Perpendicular Bisector - a line or line segment that passes through the midpoint of a side of a triangle and is perpendicular to that side of the triangle XY is bisector of AB X A B Y

  3. Theorem 5-1 • Any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment.

  4. Theorem 5-2 • Any point equidistant from the endpoints of a segment lies on the perpendicular bisector of the segment.

  5. CD is a perpendicular bisector of AB. C AX = XB X A B D

  6. Median - a segment that connects a vertex of a triangle to the midpoint of the side opposite that vertex. B BZ is a median. A C Z

  7. Altitude - a segment drawn from the vertex of a triangle perpendicular to the opposite side B BX is an altitude A C X

  8. Theorem 5-4 • Any point on the bisector of an angle is equidistant from the sides of the angle.

  9. Theorem 5-5 • Any point equidistant from the sides of an angle lies on the bisector of the angle.

  10. ZB is an angle bisector. XM = MY Z A C M X Y B

  11. Joke Time What tool do you use in Algebra? multi-pliers

  12. There are 2 men on 2 different trains on the opposite sides of a 10 mile railroad track. One train is traveling 50 mph and the other train is traveling 40 mph. Where will they meet? in the hospital

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