Since PN¯¯¯¯¯¯¯¯ bisects MO¯¯¯¯¯¯¯¯¯, that means that PN¯¯¯¯¯¯¯¯ ≅PN¯¯¯¯¯¯¯¯ because of the definition of a triangle.Because PN¯¯¯¯¯¯¯¯⊥ MO¯¯¯¯¯¯¯¯¯ that means that ∠ONP and ∠MNPare both right angles because of the the definition of perpendicular. This means that ∠ONP ≅ ∠MNP because all right angles are congruent. Also, by the Reflexive Property of Congruence, Response area.Based on these three pairs of congruent corresponding parts, △ONP ≅ △MNP, based on the
Since PN¯¯¯¯¯¯¯¯ bisects MO¯¯¯¯¯¯¯¯¯, that means that PN¯¯¯¯¯¯¯¯ ≅PN¯¯¯¯¯¯¯¯ because of the definition of a triangle.Because PN¯¯¯¯¯¯¯¯⊥ MO¯¯¯¯¯¯¯¯¯ that means that ∠ONP and ∠MNPare both right angles because of the the definition of perpendicular. This means that ∠ONP ≅ ∠MNP because all right angles are congruent. Also, by the Reflexive Property of Congruence, Response area.Based on these three pairs of congruent corresponding parts, △ONP ≅ △MNP, based on the
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
Section3.1: Congruent Triangles
Problem 19E: In Exercises 19 and 20, the triangles to be proved congruent have been redrawn separately. Congruent...
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Since PN¯¯¯¯¯¯¯¯ bisects MO¯¯¯¯¯¯¯¯¯, that means that PN¯¯¯¯¯¯¯¯ ≅PN¯¯¯¯¯¯¯¯ because of the definition of a triangle.Because PN¯¯¯¯¯¯¯¯⊥ MO¯¯¯¯¯¯¯¯¯ that means that ∠ONP and ∠MNPare both right
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