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?

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