To name: points that must be the midpoints of the sides of the large
Answer to Problem 9WE
D and F must be the midpoints of the side AC and CB of the large triangle.
Explanation of Solution
In
So,
F is a midpoint of BC.
(midpoint is a point on a line segment that divides it into two equal parts)
Also,
According to Basic Proportionality Theorem, if a line is drawn parallel to one side of a triangle such that it intersects the other sides in different points then the other two sides are divided in the same ratio
So,
As
So,
So,
D is a midpoint of AC.
Therefore,D and F must be the midpoints of the side AC and CB of the large triangle.
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McDougal Littell Jurgensen Geometry: Student Edition Geometry
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