Question

Suppose lines EF and GH are reflected over the line y = x to form the lines JK and LM. Which statement would be true about the lines?

A.
Line JK and line LM will be parallel.

B.
Line JK and line LM will be perpendicular.

C.
The slope of line JK will be the same as the slope of line EF.

D.
The slope of line LM will be the negative reciprocal of the slope of line GH.

Answer 1

A.

Explanation:

I believe the answer is A. (Line JK and line LM will be parallel) because lines EF and GH are parallel. Therefore if the are just reflected, the new set of lines will also be parallel.

EF: (-9,1) (-4,9)

`(1-9)/(-9+4)` =
`(-8)/(-5)` =
`(8)/(5)` or 1.6

GH: (-5,-2) (0,6)

`(-2 - 6)/(-5-0)` =
`(-8)/(-5)` =
`(8)/(5)` or 1.6

Same slope and different y-intercept means the lines a parallel