Question

Given AB is congruent to AC and AL and AM trisect angle BAC. Prove AL is congruent to AM.

Answer 1

Step-by-step explanation:

You want to show AL≅AM in the given figure.

Statement . . . . Reason

1. AB≅AC . . . . given

2. ∠1≅∠3 . . . . given

3. ∆ABC is isosceles . . . . definition of isosceles triangle

4. ∠B≅∠C . . . . base angles are congruent in an isosceles triangle

5. ΔLBA≅ΔMCA . . . . ASA congruence postulate

6. AL≅AM . . . . CPCTC