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 drawn 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.

Answers

They are perpendicular.

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.

They are perpendicular. Not sure.

Step-by-step explanation:

the correct answer is that they are perpendicular.



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