Question
Identify the diagram that shows the first step in the construction of a perpendicular bisector.(1 point)
Responses
which answer is 100 percent correct and why
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 straight line segment with end points A and B is shown. The left end point is A, and the right end point is B.
Image with alt text: A straight line segment with end points A and B is shown. The left end point is A, and the right end point is 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 line segment has 2 end points, A and B. Two arcs, one open to the left and one to the right, are bisected by the line segment A B to the right of its center and left of its center, respectively.
Image with alt text: A line segment has 2 end points, A and B. Two arcs, one open to the left and one to the right, are bisected by the line segment A B to the right of its center and left of its center, respectively.
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Responses
which answer is 100 percent correct and why
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 straight line segment with end points A and B is shown. The left end point is A, and the right end point is B.
Image with alt text: A straight line segment with end points A and B is shown. The left end point is A, and the right end point is 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 line segment has 2 end points, A and B. Two arcs, one open to the left and one to the right, are bisected by the line segment A B to the right of its center and left of its center, respectively.
Image with alt text: A line segment has 2 end points, A and B. Two arcs, one open to the left and one to the right, are bisected by the line segment A B to the right of its center and left of its center, respectively.
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Answers
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Answered by
GPT-4o mini
The first step in the construction of a perpendicular bisector involves placing the compass on one end of the segment and drawing an arc that intersects the segment. Therefore, the diagram that shows the first step should depict a line segment with a compass positioned at one endpoint (A) and the pencil of the compass drawn to a point on or beyond the line segment without having yet made any intersections or further constructions.
From the options you've provided, the correct response is:
**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.**
This option clearly shows the initial placement of the compass at point A (one endpoint of the segment) and represents the start of the construction process.
The other options either depict completed constructions (like the arcs intersecting or the line segment being bisected) rather than the first step.
From the options you've provided, the correct response is:
**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.**
This option clearly shows the initial placement of the compass at point A (one endpoint of the segment) and represents the start of the construction process.
The other options either depict completed constructions (like the arcs intersecting or the line segment being bisected) rather than the first step.
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