Question

Consider the diagram.



Why are lines AC and RS skew lines?

They lie in different planes and will never intersect.
They lie in the same plane but will never intersect.
They lie in different planes but will intersect if a plane is drawn to contain both lines.
They lie in different planes and will be parallel if a plane is drawn to contain both lines.

Answer 1

Answer:

They lie in different planes and will never intersect

Step-by-step explanation:

Skew lines are lines that are noncoplanar and do not intersect

Answer 2

When lines are not parallel, and they do not intersect, such lines are said to be skewed.

Line AC and RS are skew lines because: they lie in different planes and will never intersect.

From the diagram

• Line AC is on plane x
• Line RS is on plane y

This means that lines AC and RS are non-coplanar (i.e. they do not line on the same plane)

Also, lines AC and RS are not parallel.

So, the reason for their skewness is:

(a) They lie in different planes and will never intersect.

See attachment for the missing diagram

Read more about skewness at:

https://brainly.com/question/1995934