SOLUTION: Decide whether each of the statement is always true, sometimes true, or never true. Explain.
a) If E is the midpoint of DF, then DE=EF
b) If DE=Ef, then E is the midpoint of DF
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a) If E is the midpoint of DF, then DE=EF
b) If DE=Ef, then E is the midpoint of DF
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Question 189882: Decide whether each of the statement is always true, sometimes true, or never true. Explain.
a) If E is the midpoint of DF, then DE=EF
b) If DE=Ef, then E is the midpoint of DF Answer by solver91311(24713) (Show Source):
Statement a is always true, that is the definition of a midpoint after all
Statement b is only true if point E lies on the segment DF because the mid-point of a line segment must be a point on the line segment. E could be other than on the line segment if it were the vertex of isoceles triangle DEF where DE and EF are the congruent sides.
