Identify which diagram represents a step in constructing a perpendicular line that is not a perpendicular bisector.(1 point)

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A line segment has 2 end points. The left end point is A, and the right is B. A geometric compass is shown with the compass needle on point A and the pencil of the compass placed about two thirds of the way along line segment A B.
Image with alt text: A line segment has 2 end points. The left end point is A, and the right is B. A geometric compass is shown with the compass needle on point A and the pencil of the compass placed about two thirds of the way along line segment A B.
A line segment has 2 end points labeled A and B. A compass has its needle on the right end point, B, and its pencil is placed about two thirds of the way along line segment.
Image with alt text: A line segment has 2 end points labeled A and B. A compass has its needle on the right end point, B, and its pencil is placed about two thirds of the way along line segment.
A solid line segment with two end points, X and Y, is shown. A dashed vertical line segment is also shown perpendicular to the segment X Y, intersecting it approximately one fourth of the distance between X and Y.
Image with alt text: A solid line segment with two end points, X and Y, is shown. A dashed vertical line segment is also shown perpendicular to the segment X Y, intersecting it approximately one fourth of the distance between X and Y.
Two arcs are bisected by line segment A B. The arcs intersect at points C above the midpoint of A B and D below the midpoint of A B. A line is drawn from point C to D through the midpoint, M, of A B forming a right angle.
Image with alt text: Two arcs are bisected by line segment A B. The arcs intersect at points C above the midpoint of A B and D below the midpoint of A B. A line is drawn from point C to D through the midpoint, M, of A B forming a right angle.

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Answer 1

To identify which diagram represents a step in constructing a perpendicular line that is not a perpendicular bisector, we need to look for a diagram where a perpendicular line is drawn, but it does not necessarily bisect the line segment.

In this case, the third option appears to show a dashed vertical line that intersects the solid line segment approximately one-fourth of the distance between the endpoints \( X \) and \( Y \). This indicates that it does not bisect the line segment, as a perpendicular bisector would intersect at the midpoint.

The fourth option, which describes arcs being bisected by line segment \( A B \), clearly relates to constructing a perpendicular bisector since it bisects the segment.

Therefore, the diagram that represents a step in constructing a perpendicular line that is not a perpendicular bisector is the third option:

"A solid line segment with two end points, X and Y, is shown. A dashed vertical line segment is also shown perpendicular to the segment X Y, intersecting it approximately one fourth of the distance between X and Y."