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

Responses

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.

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.

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.

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.

1 answer

To construct a perpendicular line that is not a perpendicular bisector, you would place the compass needle on one end of a line segment and draw an arc that intersects the line at some point without necessarily going through the midpoint.

From the given descriptions, the diagram that represents a step in constructing a perpendicular line that is not a perpendicular bisector is:

The last response: "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."

This step involves drawing an arc from one endpoint (point B), indicating that you could construct a perpendicular line at that endpoint rather than at the midpoint, which is characteristic of a perpendicular bisector.