Which of the following transformations will make parallel lines p and q coincide with parallel lines p' and q'?
A.Counterclockwise rotation 90 about the origin
B.Counterclockwise rotation 90 about the origin, followed by translation 4 units to the left
C.Reflection across the x-axis, followed by a counterclockwise 90 rotation about the origin
D.Reflection across the line y-axis, followed by a counterclockwise 90 rotation about the origin

Option (A) counterclockwise rotation 90° about the origin makes the the parallel lines p and q will coincide with parallel lines p' and q' is the correct answer.

What is transformation of rotation?

A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction on the coordinate plane. In both transformations the size and shape of the figure stays exactly the same.

For the given situation,

The graph shows the parallel lines p, q and p', q' in the plane.

The parallel lines p and q coincide with parallel lines p' and q' when we transformed the parallel lines by counterclockwise rotation 90° about the origin.

After this transformation of rotation, the parallel lines p and q will coincide with parallel lines p' and q'.

Hence we can conclude that option (A) counterclockwise rotation 90° about the origin makes the the parallel lines p and q will coincide with parallel lines p' and q' is the correct answer.

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