Triangle LMN is reflected across a line, L = (12, - 7), and L' = (-7, 12). What is the line of reflection?

(A) the x-axis

(B) the y-axis

(C) the line y = x

(D) the line y = - x

Question

Helen Mathews

Mathematics

13 March, 01:10

Triangle LMN is reflected across a line, L = (12, - 7), and L' = (-7, 12). What is the line of reflection?

(A) the x-axis

(B) the y-axis

(C) the line y = x

(D) the line y = - x

+2

Answers (1)

Know the Answer?

Aileen Love · Answer 1

Answer: C, the line y = x.

The formula for reflecting across the line y = x is (x, y) - > (y, x). If the original coordinates are (12, - 7), and they become (-7, 12), the x and y values have swapped places, showing a reflection over the line y = x.

Triangle LMN is reflected across a line, L = (12, - 7), and L' = (-7, 12). What is the line of reflection?(A) the x-axis(B) the y-axis(C) the line y = x(D) the line y = - x

Triangle LMN is reflected across a line, L = (12, - 7), and L' = (-7, 12). What is the line of reflection?

(A) the x-axis

(B) the y-axis

(C) the line y = x

(D) the line y = - x