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In the figure, QN is the perpendicular bisector of LM. M Which of the following can be used to prove that point P is equidistant from the endpoints of LM? 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 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, prove that ALNP = AMNP by the side- side-side theorem. Second, prove that point P is O equidistant from the endpoints of LM by showing that PLE PM because corresponding parts of congruent triangles are congruent. First, prove that ALNP = AMNP 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. P.

In the figure, QN is the perpendicular bisector of LM. M Which of the following can be used to prove that point P is equidistant from the endpoints of LM? 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 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, prove that ALNP = AMNP by the side- side-side theorem. Second, prove that point P is O equidistant from the endpoints of LM by showing that PLE PM because corresponding parts of congruent triangles are congruent. First, prove that ALNP = AMNP 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. P.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.2: Corresponding Parts Of Congruent Triangles
Problem 14E
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In the figure, QN is the perpendicular bisector of LM. M Which of the following can be used to prove that point P is equidistant from the endpoints of LM? 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 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, prove that ALNP = AMNP by the side- side-side theorem. Second, prove that point P is O equidistant from the endpoints of LM by showing that PLE PM because corresponding parts of congruent triangles are congruent. First, prove that ALNP = AMNP by the side- angle-side theorem. Second, prove that point P is equidistant from the endpoints of LM by showing that PLE PM because corresponding parts of congruent triangles are congruent.
Transcribed Image Text:In the figure, QN is the perpendicular bisector of LM. M Which of the following can be used to prove that point P is equidistant from the endpoints of LM? 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 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, prove that ALNP = AMNP by the side- side-side theorem. Second, prove that point P is O equidistant from the endpoints of LM by showing that PLE PM because corresponding parts of congruent triangles are congruent. First, prove that ALNP = AMNP by the side- angle-side theorem. Second, prove that point P is equidistant from the endpoints of LM by showing that PLE PM because corresponding parts of congruent triangles are congruent.
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