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Triangle ABC has coordinates A(0, 1), B(0, 2), and C(3, 2). If ΔABC ≅ ΔEDF, what is the measure of DF?

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Triangle ABC has coordinates A(0, 1), B(0, 2), and C(3, 2). If ΔABC ≅ ΔEDF, what is-example-1

2 Answers

4 votes

Answer:

The answer is option 1: 3

Explanation:

Just took the test :)

User Alberto Favaro
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7 votes
DF = 3
Explanation:
If ABC is equivalent to EDF, then DF is equivalent to BC, which form the following ordered pairs:
D = (0,2)
F = (3,2)
It can be seen that both pairs have the same value of "y" or second value, that is 2.
As a rule, when the points are located on the y-axis (of the ordinates) or on a line parallel to this axis, the distance between the points corresponds to the absolute value of the difference of their ordinates.
So,
DF = D(x) + F(x) = 0 + 3 = 3
User Satyam Koyani
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4.4k points