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

Question

Responses

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.
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.

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 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.

Answer 1

To identify which diagram represents a step in constructing a perpendicular line that is not a perpendicular bisector, we should look for a diagram that shows a perpendicular line intersecting the given line segment at a point that is not the midpoint.

1. The first diagram shows a solid line segment XY with a dashed vertical line segment perpendicular to it, intersecting it approximately one fourth of the distance between X and Y. This indicates that the line intersects at a point that is not the midpoint, thus representing a perpendicular line that is not a perpendicular bisector.

2. The second diagram shows a compass with its needle on point B and the pencil placed about two thirds of the way along the line segment AB. This step does not depict the construction of a perpendicular line yet.

3. The third diagram describes a construction where two arcs intersect at points C and D, along with a line drawn through those points forming a right angle at the midpoint M of segment AB. This indicates the construction of a perpendicular bisector.

4. The fourth diagram indicates a compass setup with point A and the pencil placed approximately two thirds along segment AB but does not illustrate a perpendicular line yet.

From this analysis, the first diagram is the one that represents a step in constructing a perpendicular line that is not a perpendicular bisector.