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Given: LM = NO; LLMO = ZNOM Prove: ΔLΜΟ-ΔΝΟM M. N.

Given: LM = NO; LLMO = ZNOM Prove: ΔLΜΟ-ΔΝΟM M. N.

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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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### Geometry Problem **Given**: - Segment \( \overline{LM} \cong \overline{NO} \) - Angle \( \angle LMO \cong \angle NOM \) **Prove**: - Triangle \( \triangle LMO \cong \triangle NOM \) **Diagram Explanation**: The diagram displays a quadrilateral \( LMNO \) with diagonals intersecting at point \( M \). Points \( L \), \( M \), \( N \), and \( O \) are labeled on the diagram, forming two triangles to be examined: \( \triangle LMO \) and \( \triangle NOM \). The sides and angles given as congruent are marked to illustrate the relationships within the figure, aiding in proving the triangle congruence theorem involved.
Transcribed Image Text:### Geometry Problem **Given**: - Segment \( \overline{LM} \cong \overline{NO} \) - Angle \( \angle LMO \cong \angle NOM \) **Prove**: - Triangle \( \triangle LMO \cong \triangle NOM \) **Diagram Explanation**: The diagram displays a quadrilateral \( LMNO \) with diagonals intersecting at point \( M \). Points \( L \), \( M \), \( N \), and \( O \) are labeled on the diagram, forming two triangles to be examined: \( \triangle LMO \) and \( \triangle NOM \). The sides and angles given as congruent are marked to illustrate the relationships within the figure, aiding in proving the triangle congruence theorem involved.
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