Concept explainers
To write: The paragraph proof of Theorem
Explanation of Solution
Given information:
The given Theorem is, “If a line intersects two sides of a
The given Theorem is, “If a line intersects two sides of a triangle and separates the sides into proportional corresponding segments, then the line is parallel to the third side of the triangle”.
Consider the following figure,
From the above statement,
From SAS similarity postulate,
Hence, if a line intersects two sides of a triangle and separates the sides into proportional corresponding segments, then the line is parallel to the third side of the triangle.
Chapter 7 Solutions
Geometry, Student Edition
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning