How can I explain my answer? Review Congruence G-CO.C.105. Triangle LMN is an isosceles triangle with ML congruent to NL. To prove that the baseangles ZM and ZN are congruent, LP is drawn such that point P is the midpoint of MN as shown in thediagram below. Complete the proof.MPGiven: ML NL in ALMNNProve: ZM ZNAccessibility: InvestigateP is the midpoint of MNStatements1. ML NL in ALMN2. P is the midpoint of MN(i).3.4.5. AMPLANPL6. ZM ZNReasons1. Given2. Given3. Definition of midpoint4. Reflexive property of congruence5.(iii)6. Congruent parts of congruent trianglesare congruent99+

Given: ML¯≅NL¯ in ∆LMNP is the midpoint of MN¯ To prove: ∠M≅∠N

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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