Question

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?​

Answer 1

The measure of EF is 4 units

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