Two coplanar lines that are perpendicular to the same line are parallel. a) always b) sometimes c) never

Two co planar lines that are perpendicular to the same line are always PARALLEL. So option A is correct.

Explanation:

Given:

To find:

whether they are parallel or not and choose the correct option from the given options.

Solution:

Now, we know that, slopes of perpendicular lines is -1

Then,

similarly

Now, as both lines are perpendicular to same line, then, we have to equate above both of them.

Then,

1st line slope = 2nd line slope

Here, slopes of two lines are equal.

Hence, Two coplanar lines that are perpendicular to the same line are always parallel. So option A is correct.

the circle one

step-by-step explanation:

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