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

1 answer

To identify which diagram represents a step in constructing a perpendicular line that is not a perpendicular bisector, we need to consider the descriptions of each image.

  1. The first image shows a solid line segment and a dashed vertical line segment that is perpendicular to it, intersecting it at a point not at the midpoint. This represents a construction of a perpendicular line without bisecting the segment.

  2. The second image discusses a compass needle on point A with the pencil placed two-thirds of the way along segment AB, but it does not mention creating a perpendicular line.

  3. The third image describes arcs being drawn and intersecting at points above and below the midpoint, with a line drawn through these intersections to form a right angle at the midpoint. This represents the construction of a perpendicular bisector.

  4. The fourth image mentions a compass needle on point B with the pencil placed two-thirds of the way along segment AB, similar to the second image and does not indicate construction of a perpendicular line.

Based on the descriptions, the first image represents a step in constructing a perpendicular line that is not a perpendicular bisector.