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.

Step-by-step explanation:

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.

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right

d. corresponding side lengths in similar triangles are proportional in length.

step-by-step explanation: