Problem 116 of 7
Use the converse of the perpendicular bisector theorem from QC=QD.
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infer point lies on perpendicular bisector from equal distances.
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Given point must be equidistant from the endpoints of one segment.
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Your answer is equivalent to the expected form.
Walkthrough
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1. Identify the two equal distances from a point to segment endpoints.
2. Apply the converse theorem.
3. Conclude the point lies on the perpendicular bisector.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Saying the point is the midpoint unless it lies on the segment.