Given: Triangle ABC is isosceles, Line AB is congruent to Line AC, Line AD bisects angle A.
Pf: Triangle BAD is congruent to Triangle CAD
2006-11-07 10:47:29 · 3 answers · asked by Anonymous in Education & Reference ➔ Homework Help
angle bisector/perpendicular line (splits straight angle into two right angles)
angle BAD is congruent to angle CAD, isosceles triangle
segment BD=segment DC through bisector...
congruent by Angle-Side-Angle
2006-11-07 10:53:30 · answer #1 · answered by life on stage 89 2 · 0⤊ 0⤋
Given ABC is isosceles and AB = AC, then angle ABC = ACB.
Given Line AD bisects angle A, line AD also bisects line BC, (Definition of Isosceles Triangles and Bisectors.)
Triangle BAD is congruent to CAD because of CPCTC.
2006-11-07 10:53:59 · answer #2 · answered by Steven Procter 2 · 0⤊ 0⤋
1. Tri. ABC is isos.
2. Line AB is cong. to Line AC
3. Line AD bisects angl. A
4. Angle BAD is cong. to angl. DAC (AD bisects ang. A)
5. Line AD is cong. to Line AD (reflexive prop.)
6. Tri. BAD is cong. to Tri. CAD through Side (AB/AC)-Angle (BAD cong. to DAC)-Side (AD is cong. to itself)
2006-11-07 10:53:43 · answer #3 · answered by Tori 2 · 0⤊ 0⤋