. Given: Base ∡BAC and ∡ACB are congruent.. . Prove: ∆ABC is an isosceles triangle.. . When completed, the following paragraph p
roves that Line segment AB is congruent to Line segment BC making ∆ABC an isosceles triangle.. . Construct a perpendicular bisector from point B to Line segment AC.. Label the point of intersection between this perpendicular bisector and Line segment AC as point D.. m∡BDA and m∡BDC is 90° by the definition of a perpendicular bisector.. ∡BDA is congruent to ∡BDC by the definition of congruent angles.. Line segment AD is congruent to Line segment DC by by the definition
The answers
to this specific problem would be the following statements:
1. the
definition of congruent angles
2. congruent
parts of congruent triangles are congruent (CPCTC)
I am hoping that these answers
have satisfied your queries and it will be able to help you in your endeavors, and
if you would like, feel free to ask another question.
We know that the slope of a line is given by the rise over run. where rise is vertical difference between two points and run is the horizontal distance between the points.