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Given a segment with endpoints A and B, What figure can you construct using the steps below?


Step 1: Put the compass point on A and draw a long arc. Be sure the opening is greater than 1/2 AB.

Step 2: With the compass on the same setting, put the compass point on B and draw another long arc. Label the points where the two arcs meet as X and Y.

Step 3: Draw <-> XY. Label the point intersection of - AB and <-> as M, the midpoint od -AB

Aa perpendicular bisector
Ba congruent segment
Can angle bisector
Da congruent angle

Verified Answer :

I believe the correct answer from the choices listed above is option A. Given a segment with endpoints A and B and the steps given above, the figure that you can construct would be a perpendicular bisector. The perpendicular bisector of a line segment can be constructed using a compass by drawing circles centered at and with radius and connecting their two intersections.

Answer: Option (A) is the right answer .We can construct  a perpendicular bisector usind the given steps.


Step-by-step explanation:

Given a segment with endpoints A and B.

By using the construction step we will draw the following figure which represents a perpendicular bisector XY of line segment AB.

A perpendicular bisector of a  given line segment is a line segment perpendicular to the given line segment and passing through the midpoint of the given line segment.

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