5-2 Bisectors in Triangles

# 5-2 Bisectors in Triangles - of a triangle perpendicular to...

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Bisectors in Triangles Section 5-2

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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 X Y A B XY is bisector of AB
Perpendicular Bisector Theorem (5-2) If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

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Converse of the Perpendicular Bisector Thm. (5-3) If a point is equidistant from the endpoints of a segment, then it lies on the perpendicular bisector of the segment.
CD is a perpendicular bisector of AB . A B C D X AX = XB

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

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Unformatted text preview: of a triangle perpendicular to the opposite side A B C X BX is an altitude Angle Bisector Thm. (5-4) If a point is on the bisector of an angle, then it is equidistant from the sides of the angle. Converse of the Angle Bisector Thm. (5-5) If a point in the interior of the angle is equidistant from the sides of an angle, then it lies on the angle bisector. X Y A B C Z ZB is an angle bisector. XM = MY Joke Time What tool do you use in Algebra? multi-pliers 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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5-2 Bisectors in Triangles - of a triangle perpendicular to...

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