Question

ΔABC is located at A (3, 1), B (4, 4), and C (5, 1). Zackery says that ΔABC is an equilateral triangle, while Verna says that it is an isosceles triangle. Who is correct? Zackery, because all of the sides are congruent Zackery, because there are no congruent sides Verna, because segment BC ≅ segment AC Verna, because segment AB ≅ segment BC

Answer 1

Answer: Verna, because segment AB ≅ segment BC.

When you graph this triangle on a coordinate grid, only 2 segments, AB and BC are congruent so this cannot be an equilateral triangle because an equilateral triangle has 3 congruent sides. BC cannot be congruent to AC because they both have different lengths. Therefore, it is an isosceles triangle.