Question 438083
Triangle ABC and and AD is perpendicular to BC - Given


 Angle BAD is congruent to angle CAD - given


 Angle BDA and Angle CDA are right angles - definition of perpendicular


 AD is congruent to AD - reflection


 Triangle BDA is congruent to Triangle CDA - ASA
 AB is congruent to AC - CPCTC
 Triangle ABC is isosceles - An isosceles triangle has two sides and two angles that are congruent. Which I have proved through these statements and reasons