Triangle ABC has coordinates A (0, 2)B (2,4) and C (2,-1). If Triangle ABC is equivalent to triangle EDF, what is the measure of DF?

Option C:

The measure of DF is 5.

Solution:

Given .

The coordinates of are A(0, 2), B(2, 4) and C(2, –1).

To find the measure of DF:

By corresponding parts of congruence triangles are congruent,

BC = DF

Let us find the measure of BC using the distance formula.

Distance of BC =

Distance of BC = 5 units

Distance of BC = Distance of DF

Distance of DF = 5 units

Option C is the correct answer.

The measure of DF is 5.

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step-by-step explanation: