Answer:
The measure of EF is 4 units
Step-by-step explanation:
<u><em>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?</em></u>
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
