Review Congruence G-CO.C.10 5. Triangle LMN is an isosceles triangle with ML congruent to NL. To prove that the base angles ZM and ZN are congruent, LP is drawn such that point P is the midpoint of MN as shown in the diagram below. Complete the proof. M P N Given: ML NL in ALMN P is the midpoint of MN Prove: ZM ZN Statements 1. ML = NL in ALMN 2. P is the midpoint of MN 3. (i). 4. 5. AMPLANPL 6. ZM ZN Reasons 1. Given 2. Given 3. Definition of midpoint 4. Reflexive property of congruence 5. 6. Congruent parts of congruent triangles are congruent
Review Congruence G-CO.C.10 5. Triangle LMN is an isosceles triangle with ML congruent to NL. To prove that the base angles ZM and ZN are congruent, LP is drawn such that point P is the midpoint of MN as shown in the diagram below. Complete the proof. M P N Given: ML NL in ALMN P is the midpoint of MN Prove: ZM ZN Statements 1. ML = NL in ALMN 2. P is the midpoint of MN 3. (i). 4. 5. AMPLANPL 6. ZM ZN Reasons 1. Given 2. Given 3. Definition of midpoint 4. Reflexive property of congruence 5. 6. Congruent parts of congruent triangles are congruent
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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