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.

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