Quadrilateral efgh is on a coordinate plane. segment gh is on the line 2x+y=2, and segment fe is on the line 2x+y=4. which statement proves how segments gh and fe are related?

a. they have slopes that are opposite reciprocals of 2 and -2 and are , therefore, perpendicular.

b. they have the same slope of 2 and are , therefore, parallel.

c. they have slopes that are opposite reciprocals of 0 and undefined and are, therefore, perpendicular.

d. they have the same slope of -2 and are , therefore, parallel.

OPTION D.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.

You know that the segment GH is on this line:

Solving for "y", you get:

So you can identify that:

The segment FE is on this line:

Solving for "y", you get:

Then you can identify that:

As you can notice, the lines have the same slope of . This means that they are parallel.

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap

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step-by-step explanation: