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Given: AB DC and E is the midpoint of AC. Prove: AABE ACDE. Step Statement Reason AB || DC Given 1 E is the midpoint of AC A midpoint divides a segment into two congruent AE CE segments AB BA Reflexive Property DC CD Reflexive Property 4 Parallel lines cut by a transversal form congruent ZABE ZCDE alternate interior angles try Type of Statement

Given: AB DC and E is the midpoint of AC. Prove: AABE ACDE. Step Statement Reason AB || DC Given 1 E is the midpoint of AC A midpoint divides a segment into two congruent AE CE segments AB BA Reflexive Property DC CD Reflexive Property 4 Parallel lines cut by a transversal form congruent ZABE ZCDE alternate interior angles try Type of Statement

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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A E C Note: DB and AC are segments.
Transcribed Image Text:A E C Note: DB and AC are segments.
Given: AB || DC and E is the midpoint of AC. Prove: AABE- ACDE. Step Statement Reason AB || DC Given E is the midpoint of AC A midpoint divides a segment into two congruent AE 스 CE segments AB 스 BA Reflexive Property DC 쓴 CD Reflexive Property 4. Parallel lines cut by a transversal form congruent alternate interior angles ZABE ZCDE try Type of Statement 2. 3 LO
Transcribed Image Text:Given: AB || DC and E is the midpoint of AC. Prove: AABE- ACDE. Step Statement Reason AB || DC Given E is the midpoint of AC A midpoint divides a segment into two congruent AE 스 CE segments AB 스 BA Reflexive Property DC 쓴 CD Reflexive Property 4. Parallel lines cut by a transversal form congruent alternate interior angles ZABE ZCDE try Type of Statement 2. 3 LO
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