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Statements Reasons 1. 1. AB || DC Given 2. ZBAC = ZDC A 2. 3. 3. ZBDC LDBA Vertical angles are congruent 14. 4. AB DC Given 5. 5. ΔΑΒM= ΔCDM 6. 6. BM = DM, AM = CM Given 7. 7. M is the midpoint of both DB and AC

Statements Reasons 1. 1. AB || DC Given 2. ZBAC = ZDC A 2. 3. 3. ZBDC LDBA Vertical angles are congruent 14. 4. AB DC Given 5. 5. ΔΑΒM= ΔCDM 6. 6. BM = DM, AM = CM Given 7. 7. M is the midpoint of both DB and AC

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.
Chapter10: Analytic Geometry
Section10.4: Analytic Proofs
Problem 34E: Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b,...
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Fill in the reasons to complete the following proof. 

Given: AB¯¯∥DC¯¯,  AB¯¯≅DC¯¯AB¯∥DC¯,  AB¯≅DC¯

Prove: M is the midpoint of both DB¯¯ and AC¯¯

Fill in the reasons to complete the following proof. Given: AB || DC, AB DC Prove: M is the midpoint of both DB and AC A B M D
Transcribed Image Text:Fill in the reasons to complete the following proof. Given: AB || DC, AB DC Prove: M is the midpoint of both DB and AC A B M D
Statements Reasons 1. 1. AB || DC Given 2. ZBAC ZDCA 2. 3. 3. ZBDC = ZDBA Vertical angles are congruent 14. 4. AB= DC Given 5. 5. ΔΑΒΜ= ΔCDM 6. 6. BM = DM, AM = CM Given 7. 7. M is the midpoint of both DB and AC
Transcribed Image Text:Statements Reasons 1. 1. AB || DC Given 2. ZBAC ZDCA 2. 3. 3. ZBDC = ZDBA Vertical angles are congruent 14. 4. AB= DC Given 5. 5. ΔΑΒΜ= ΔCDM 6. 6. BM = DM, AM = CM Given 7. 7. M is the midpoint of both DB and AC
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