In isosceles triangle DAC, AD is congruent to AC and AB is an angle bisector of angle DAC. Ø B A How does Kiran know that AB is a perpendicular bisector of segment CD? Kiran has enough information to show that triangle ABD and triangle ABC are congruent by the so he knows that B is the segment CD. of DC. Point A is the same distance from C as it is from D, so it must be on the Triangle Congruence Theorem, of DC. Therefore, AB is a perpendicular bisector of

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.3: Informal Geometry And Measurement
Problem 29E: On a piece of paper, use your compass to construct a triangle that has two sides of the same length....
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In isosceles triangle DAC, AD is congruent to AC and AB is an angle bisector of angle DAC.
D
B
How does Kiran know that AB is a perpendicular bisector of segment CD?
A
Kiran has enough information to show that triangle ABD and triangle ABC are congruent by the
so he knows that B is the
segment CD.
of DC.
Point A is the same distance from C as it is from D, so it must be on the
Triangle Congruence Theorem,
of DC. Therefore, AB is a perpendicular bisector of
Transcribed Image Text:In isosceles triangle DAC, AD is congruent to AC and AB is an angle bisector of angle DAC. D B How does Kiran know that AB is a perpendicular bisector of segment CD? A Kiran has enough information to show that triangle ABD and triangle ABC are congruent by the so he knows that B is the segment CD. of DC. Point A is the same distance from C as it is from D, so it must be on the Triangle Congruence Theorem, of DC. Therefore, AB is a perpendicular bisector of
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