BE BD In AABC shown below, BA %3D BC B D E

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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The following flowchart proof with missing statements and reasons proves that if a line intersects two sides of a triangle and divides these sides proportionally, the line
is parallel to the third side:
BD BE
BA BC
BDE = BAC
DE|| AC
Given
Corresponding
Parts of Similar
2.
Converse of the
Corresponding
Angles Postulate
Triangles
4B = &B
Reflexive Property
of Equality
Which reason can be used to fill in the numbered blank space?
Ο 1. ΔΑBC-ΔΒΕD
2. Side-Angle-Side Similarity Postulate
O1. AABC ABED
2. Side-Side-Side Similarity Theorem
O1. AABC - ADBE
2. Side-Angle-Side Similarity Postulate
O1. AABC - ADBE
2. Side-Side-Side Similarity Theorem
Transcribed Image Text:The following flowchart proof with missing statements and reasons proves that if a line intersects two sides of a triangle and divides these sides proportionally, the line is parallel to the third side: BD BE BA BC BDE = BAC DE|| AC Given Corresponding Parts of Similar 2. Converse of the Corresponding Angles Postulate Triangles 4B = &B Reflexive Property of Equality Which reason can be used to fill in the numbered blank space? Ο 1. ΔΑBC-ΔΒΕD 2. Side-Angle-Side Similarity Postulate O1. AABC ABED 2. Side-Side-Side Similarity Theorem O1. AABC - ADBE 2. Side-Angle-Side Similarity Postulate O1. AABC - ADBE 2. Side-Side-Side Similarity Theorem
BE
BD
In AABC shown below,
ВА ВС
Transcribed Image Text:BE BD In AABC shown below, ВА ВС
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