In the figure, QN¯¯ is the perpendicular bisector of LM¯. Which of the following can be used to prove that point P is equidistant from the endpoints of LM¯¯? a.) First, state that PL¯≅PM¯ by the definition of a perpendicular bisector. Second, state that point P is equidistant from the endpoints of LM¯ because of the definition of congruence. b.) First, state thatPL¯≅PM¯ because corresponding parts of congruent triangles are congruent. Second, state that point P is equidistant from the endpoints of LM¯ because of the definition of congruence. c.) First, prove that △LNP≅△MNP by the side-side-side theorem. Second, prove that point P is equidistant from the endpoints of LM¯ by showing that PL¯≅PM¯ because corresponding parts of congruent triangles are congruent. d.) First, prove that △LNP≅△MNP by the side-angle-side theorem. Second, prove that point P is equidistant from the endpoints of LM¯ by showing that PL¯≅PM¯ because corresponding parts of congruent triangles are congruent.
In the figure, QN¯¯ is the perpendicular bisector of LM¯.
Which of the following can be used to prove that point P is equidistant from the endpoints of LM¯¯?
a.) First, state that PL¯≅PM¯ by the definition of a perpendicular bisector. Second, state that point P is equidistant from the endpoints of LM¯ because of the definition of congruence.
b.) First, state thatPL¯≅PM¯ because corresponding parts of congruent
c.) First, prove that △LNP≅△MNP by the side-side-side theorem. Second, prove that point P is equidistant from the endpoints of LM¯ by showing that PL¯≅PM¯ because corresponding parts of congruent triangles are congruent.
d.) First, prove that △LNP≅△MNP by the side-
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