Question

mary thinks the triangle is equilateral. how would you support or dispute her conjecture? calculate the slope of all three sides, and check whether the slopes are equal. calculate the slope of all three sides, and check whether any slopes are reciprocals. use the distance formula to calculate the length of all three sides, and check whether all sides are congruent. use the distance formula to calculate the length of all three sides, and check whether any two sides are congruent.

Explanation:

An equilateral triangle is defined as a triangle where all three sides are of equal length. Slopes relate to the steepness of sides (relevant for perpendicularity or parallelism, not side length equality). To verify if the triangle is equilateral, we need to confirm all side lengths are congruent, which requires using the distance formula on all three sides.

Answer:

Use the distance formula to calculate the length of all three sides, and check whether all sides are congruent.