Question

If triangle ABC = triangle EDF where the coordinates of A(-1, 1), B(2,4), and C(3,1), what is the

Answer 1

Answer:

The measure of EF is 4 units

Step-by-step explanation:

If triangle ABC = triangle EDF where the coordinates of A(-1, 1), B(2,4), and C(3,1), what is the  measure of EF?​

To find the measure of EF, we will follow the steps below;

since  triangle ABC = triangle EDF  the coordinates of  triangle ABC  are A(-1, 1), B(2,4), and C(3,1),  then the coordinates of triangle EDF are E(-1, 1), D(2,4), and F(3,1)

To find the measure of EF, we will use the distance formula;

|EF| = √(x₂-x₁)² + (y₂-y₁)²

E(-1, 1)   F(3,1)

x₁=-1

y₁=1

x₂ =3

y₂ = 1

We can now proceed to substitute the values into the formula;

|EF| = √(3+ 1)² + (1-1)²

      = √(4)² + (0)²

      = √(4)²

       =√16

        =4

The measure of EF is 4 units