Question

Which statements are true about these lines? Select three options.

Answer 1

RS is perpendicular to MN and PQ.


We can use the slopes of these lines to determine the answer.
Slope is given by the formula
m=.

Using the coordinates for M and N, we have:
m=.

Since PQ is parallel to MN, its slope will be as well, since parallel lines have the same slope.

Using the coordinates for points T and V in the slope formula, we have
m=.

This is not parallel to MN or PQ, since the slopes are not the same.
We can also say that it is not perpendicular to these lines; perpendicular lines have slopes that are negative reciprocals (they are opposite signs and are flipped). This is not true of TV either.

Using the coordinates for R and S in the slope formula, we have
m=. Comparing this to the slope of RS, it is flipped and the sign is opposite; they are negative reciprocals, so they are perpendicular.

Answer 2

Answer:

A) The slope of line MN is Two-thirds.

C) The slope of line RS is Negative three-halves.

E) Line RS is perpendicular to both line MN and line PQ.

Step-by-step explanation:

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