Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.3: The Rectangle, Square, And Rhombus
Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...
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![1. What does the Angle Bisector Theorem state?
If a point in the interior of an angle is equidistant from the sides of the angle, then it is on the bisector of the angle.
If a point is on the perpendicular bisector of a line segment, then it is equidistant from the endpoints of the line segment.
If a point is on the bisector of an angle, then it is equidistant from the sides of the angle.
If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6298363d-fbd1-4bc0-8281-4516b4f25348%2F7be8bfa5-3c0c-4888-91f7-d664e1f4ef81%2F21dqjx_processed.png&w=3840&q=75)
Transcribed Image Text:1. What does the Angle Bisector Theorem state?
If a point in the interior of an angle is equidistant from the sides of the angle, then it is on the bisector of the angle.
If a point is on the perpendicular bisector of a line segment, then it is equidistant from the endpoints of the line segment.
If a point is on the bisector of an angle, then it is equidistant from the sides of the angle.
If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
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