Verified Answer :

perpendicular bisector

Answer: The answer is (a) Congruent segments.

Step-by-step explanation:  We are to select the correct construction among the given options that will determine a mid-point.

When we draw two congruent segments in a same straight line and meeting at a point, then the meeting point will be the mid-point of the combined segments.

For example, in the attached figure, AP and PB are two line congruent segments meeting at a point P. Then, P will be the mid-point of AB.

Thus, (a) Congruent segments is the correct option.  

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