Given: CE = DF
Prove: CD = EF
It is given that CE = DF. By the Segment Addition Postula...
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Mathematics, 30.10.2020 05:30 darkdestroyer0888
Given: CE = DF
Prove: CD = EF
It is given that CE = DF. By the Segment Addition Postulate, CE = CD + DE and DF = DE + EF. So, CD + DE = DE + EF by the Substitution Property of Equality.
A) Therefore, CD = EF because of the Subtraction Property of Equality.
B) Therefore, CE = DF because of the definition of congruent segments.
C) Therefore, CD + DE + EF = CF because of the Segment Addition Postulate.
D) Therefore, D is the midpoint of line segment CE because CD = DE.
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