13 GUEST, GUEST Katherine uses A ABC, where DE I| AC to prove that a line parallel to one side of a triangle divides the other two sides proportionally. A part of her proof is shown. E A Statements Reasons 1. DE |I AC |1. Given 2. 4 BDE = - BÁC and Z BED = 4 BCA 2. 3. A BAC~ A BDE 3. |4. 器=寵 ВА BD BC |4. 5. ВА %3D BD + DA; BC %3D BЕ + ЕC 5. Segment addition postulate 6. б.

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
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Items Geometry Session 1
GUEST, GUEST (Username: GUEST) GUEST SESSION
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13
GUEST, GUEST
Katherine uses A ABC, where DE || AC to prove that a line parallel to one side of a triangle divides the other two
sides proportionally. A part of her proof is shown.
B
E
A
Statements
Reasons
1. DE |I AC
1. Given
2. 4 BDE = Z BAC and 2 BED = 4 BCA
2.
3. Δ ΒΑC~ Δ BDE
3.
4. BA
BD
ВС
ВЕ
4.
%3D
5. BA = BD + DA; BC = BE + EC
5. Segment addition postulate
6.
б.
Transcribed Image Text:Items Geometry Session 1 GUEST, GUEST (Username: GUEST) GUEST SESSION Next Save Pause Formulas LIne Reader Zoom Out Zoom In 13 GUEST, GUEST Katherine uses A ABC, where DE || AC to prove that a line parallel to one side of a triangle divides the other two sides proportionally. A part of her proof is shown. B E A Statements Reasons 1. DE |I AC 1. Given 2. 4 BDE = Z BAC and 2 BED = 4 BCA 2. 3. Δ ΒΑC~ Δ BDE 3. 4. BA BD ВС ВЕ 4. %3D 5. BA = BD + DA; BC = BE + EC 5. Segment addition postulate 6. б.
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