If ΔABC ≅ ΔEDF where the coordinates of A(−1, 1), B(2, 4), and C(3, 1), what is the measure of EF?
3
3.2
4
4.6
To find the measure of EF, we need to look at the corresponding sides of the congruent triangles ΔABC and ΔEDF.
From the coordinates provided:
A(-1, 1) corresponds to E(x, y)
B(2, 4) corresponds to D(x, y)
C(3, 1) corresponds to F(x, y)
To find the measure of EF, we need to calculate the distance between points E and F.
Using the distance formula:
EF = sqrt((3 - (-1))^2 + (1 - 1)^2)
EF = sqrt(4^2)
EF = sqrt(16)
EF = 4
So, the measure of EF is 4.