Respuesta :
AB = CA This triangle comprises two sides that are congruent. As a result, it is isosceles.
What is coordinate system?
A coordinate system is a method of determining the position of points or other geometric components on a manifold, such as Euclidean space, by using single or more numbers, or coordinates.
According to the given information:
Use the Distance Formula to find the lengths of AB ,BC and CA.
AB has endpoints A(–2, –1) and B(–1, 3).
AB = √((x₂ - x₁)² + (y₂ - y₁)²)
Substituting the values we get:
AB = √((-1 - (-2))² + (3 - (-1))²)
= √((1)² + (4)²)
= √(1 + 16)
= √(17)
BC has endpoints B(–1, 3) and C(2, 0).
BC = √((x₂ - x₁)² + (y₂ - y₁)²)
Substituting the values we get:
BC = √((2 - (-1))² + (0 - 3)²)
= √((3)² + (-3)²)
= √(9 +9)
= √(18)
CA = has endpoints C(2, 0) and A(–2,–1).
CA = √((x₂ - x₁)² + (y₂ - y₁)²)
Substituting the values we get:
CA = √((-2 - 2)² + (-1 - 0)²)
= √((-4)² + (-1)²)
= √(16 +1)
= √(17).
AB = CA. This triangle comprises two sides that are congruent. As a result, it is isosceles.
To know more about coordinate system visit:
https://brainly.com/question/4726772
#SPJ4