To Prove: For the given condition,
Explanation of Solution
Given information:
M is the midpoint of AB.
N is the midpoint of AC.
Extend the line MN to point E such that MN= NE and join CE.
The figure is shown below.
In
This implies that
Since corresponding parts of congruent triangles are congruent.
This implies that
So it follows that
BM= CE also note that
But these are alternate interior angles formed by the lines CE and AM and by transversal CA.
Therefore,
Since one pair of opposite sides of quadrilateral BCEM are parallel and equal.
Therefore BCEM is parallelogram so that
Since
Chapter 7 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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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