Problem 7) Which theorem allows us to say that the base angles of an isosceles triangle are congruent, as shown in the picture below?

Pythagorean Theorem
Pythagorean Theorem

Segment Addition Postulate
Segment Addition Postulate

Alternate Exterior Angles Theorem
Alternate Exterior Angles Theorem

Base Angles Theorem

1 answer

The theorem that allows us to say that the base angles of an isosceles triangle are congruent is the Base Angles Theorem. This theorem states that if a triangle is isosceles (meaning it has at least two congruent sides), then the angles opposite those sides (the base angles) are also congruent.