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In the figure, QN¯¯¯¯¯¯¯¯ is the perpendicular bisector of LM¯¯¯¯¯¯¯¯¯ . A triangle L M P with a perpendicular bisector Q N passing through point P. Which of the following can be used to prove that point P is equidistant from the endpoints of LM¯¯¯¯¯¯¯¯¯? Responses 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. First, state that line segment cap p liters is congruent to line segment cap p cap m by the definition of a perpendicular bisector. Second, state that point P is equidistant from the endpoints of line segment cap l cap m because of the definition of congruence. First, state that PL¯¯¯¯¯¯¯≅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. First, state that line segment cap p liters is congruent to line segment cap p cap m because corresponding parts of congruent triangles are congruent. Second, state that point P is equidistant from the endpoints of line segment cap l cap m because of the definition of congruence. 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. First, prove that △LNP≅△MNP by the side-side-side theorem. Second, prove that point P is equidistant from the endpoints of line segment cap l cap m by showing that line segment cap p liters is congruent to line segment cap p cap m because corresponding parts of congruent triangles are congruent. 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. First, prove th

User Linuscl
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The correct response is: "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." That’s the correct answer
User Dick Lucas
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