How do you prove a triangle is equiangular with 5 steps? All I know is that triangle abc is equilateral? I need to prove it with a 2 column proof.
These are my statements and reasons....
Statements. Reasons
1.) ABC is equilateral 1.) Given
2.) BC = AC. 2.) ?
3.) Angle A is congruent to B. 3.) ? And B is congruent to C
4.) Angle A is congruent to Angle C. 4.) ?
5.)ABC is equiangular. 5.) ?
$\endgroup$1 Answer
$\begingroup$Your proof is correct. If you need a formal "two column" proof:
The reason for step 2 is that it's given - it follows from the definition of equilateral.
The reason for 3) and 4) is Euclid Proposition I.4
The reason for 5) is the transitivity of "equals".
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