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In this diagram, line segment CD is the perpendicular bisector of line segment AB. Assume the conjecture that the set of points equidistant from A and B is the perpendicular bisector AB is true. Select all statements that must be true.

Answer Choices:
AM=BM
CM=DM
EA=EM
EA BM

In this diagram line segment CD is the perpendicular bisector of line segment AB Assume the conjecture that the set of points equidistant from A and B is the pe class=

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Answer:

Option (2)

Step-by-step explanation:

Conjecture of the perpendicular bisector of a segment clearly states that,

"If a point is on the perpendicular bisector of a segment then it is equidistant from the endpoints of the segment".

From the figure attached,

CD is the perpendicular bisector of line segment AB.

By the conjecture, M is a point lying on perpendicular bisector CD,

Therefore, CM = DM will be the answer.

Option (2) will be the correct option.

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