Question
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 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 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. 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.
Skip to navigation
Responses
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 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. 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.
Skip to navigation
Answers
GPT-4o mini
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 that shows a line being constructed that is perpendicular to the segment but does not pass through its midpoint.
1. **First Diagram**: Involves placing a compass needle at point B and the pencil approximately two-thirds along the segment. It does not show the creation of a perpendicular line.
2. **Second Diagram**: Shows the right construction of a perpendicular bisector, since it involves bisecting arcs and intersects at the midpoint (M) of segment AB.
3. **Third Diagram**: Displays a solid line segment XY with a dashed vertical line that is perpendicular to XY but intersects it about one-fourth distance from X. This indicates that it is not bisecting the segment but does create a perpendicular line.
4. **Fourth Diagram**: Similar to the first, it places the needle at point A with the pencil two-thirds along segment AB, which does not show a perpendicular line being created.
Based on this analysis, the **third diagram** represents a step in constructing a perpendicular line that is not a perpendicular bisector.
1. **First Diagram**: Involves placing a compass needle at point B and the pencil approximately two-thirds along the segment. It does not show the creation of a perpendicular line.
2. **Second Diagram**: Shows the right construction of a perpendicular bisector, since it involves bisecting arcs and intersects at the midpoint (M) of segment AB.
3. **Third Diagram**: Displays a solid line segment XY with a dashed vertical line that is perpendicular to XY but intersects it about one-fourth distance from X. This indicates that it is not bisecting the segment but does create a perpendicular line.
4. **Fourth Diagram**: Similar to the first, it places the needle at point A with the pencil two-thirds along segment AB, which does not show a perpendicular line being created.
Based on this analysis, the **third diagram** represents a step in constructing a perpendicular line that is not a perpendicular bisector.