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LiRa [457]
3 years ago
6

Triangle END is reflected across the line y = x using the rule (x, y) → (y, x) to create triangle E′N′D′. If a line segment is d

rawn from point E to point E′, which statement would best describe the line segment drawn in relation to the line y = x?
A-Both are congruent to each other.
B- Both create diameters of concentric circles.
C- They are parallel.
D- They are perpendicular.
Mathematics
2 answers:
timama [110]3 years ago
8 0

Answer:

They are perpendicular.

Step-by-step explanation:

Step-by-step explanation:

For example, if we have the point E (1, 2) and E' (2, 1)

we can get the slope as follows

m' = (yE' - yE) / (xE' - xE)

⇒ m' = (1 - 2)/(2 - 1) = -1 / 1 = -1

Now we have the slope of the line y = x, which is m = 1

we can apply

m*m' = (1)*(-1) = - 1

we can say that they are perpendicular.

harina [27]3 years ago
5 0

the correct answer is that they are perpendicular.

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