Suppose lines ef and gh are reflected over the line y equals x to form the lines jk and lm which statement would be true about the lines
a) jk and lm will be parallel
b) jk and lm will be perpendicular
c) jk will be same slope as ef
d) lm will be negative reciprocal of gh
A) JK and LM will be parallel to each other.
On reflection on line the x co-ordinate changes with y co-ordinate and y co-ordinate changes with x co-ordinate
Points on line EF
On reflection of this line on the new points we get for line JK are
Points on line GH
On reflection on y=x line the new points we get for line LM are
Slope of line JK
Slope of line LM
For two line to be parallel, their slopes will be same.
Since slopes of lines JK and LM are same therefore we can say that these are parallel to each other.
From my research and observations none of the statements are true. Hope this helps!