Answer #1

Statements                                          Reasons                       

1. Triangle ABC is isosceles               1. Given

     with base BC

     AE divides BC into 2

     congruent segments

2. AB is congruent to AC                   2. Legs of isosceles triangles

                                                                are congruent

3. angle B is congruent to                   3. If 2 legs of a triangle are

     angle C                                               congruent, then the base

                                                                angles are congruent.

4. AE is congruent to AE                   4. Reflexive

5. Triangle AEB is congruent             5. Side-angle-side

    to triangle AEC

6. angle AEC is congruent to             6. CPCTC

     angle AEB 

7. angle AEC is                                  7. 2 angles that form a

 supplementary to angle AEB               straight line are supp.

8. angle AEB & angle AEC              8. If 2 angles are supp. and

are right angles                                  congruent, then they are    

                                                          right angles

9. AE is perpendicular to BC           9. Perpendicular lines form

                                                            right angles

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