A plane is labeled H. 3 horizontal lines are shown. From top to bottom, line k is above the plane and lines n and w are on the plane. Vertical line m cuts through the horizontal lines and the parallelogram. Point x is at the intersection of lines m and n and indicates that m is at a right angle to line n. Lines n and w are parallel to each other. Which statement is true regarding the parallel and perpendicular lines in the diagram? k Parallel to n and w Perpendicular to m k Parallel to n and n Perpendicular to m w Parallel to n and n Perpendicular to m w Parallel to n and wPerpendicular to m

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The correct option is C.

What is a line segment?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. A line segment is a straight line with finite length, and thus, has two endpoints(points on either end).

The diagram for the given condition can be made as shown below. Now, from the image, the following conclusion can be made,

The two lines w and n are parallel to each other.
The line m is perpendicular to n, this is because the angle between the two lines is equal to 90°.
The two lines k and line n are also parallel to each other.

Further, if all the options are observed.

A.) k Parallel to n and w Perpendicular to m

The first half of the given statement is correct but the second half of the equation is completely wrong. Therefore, not the correct option.

B.) k Parallel to n and w Perpendicular to m

The first half of the given statement is correct but the second half of the equation is completely wrong. Therefore, not the correct option.

C.) w Parallel to n and n Perpendicular to m

Since both the parts of the statement are correct, therefore, it can be concluded that the given statement is correct.

D.) w Parallel to n and w Perpendicular to m

The first half of the given statement is correct but the second half of the equation is completely wrong. Therefore, not the correct option.

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