SOLUTION: Given: segment AB is congruent to segment BC
Given: D is the midpoint of segment AB
Given: E is the midpoint of segment BC
Prove: segment BD is congruent to segment EC
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-> SOLUTION: Given: segment AB is congruent to segment BC
Given: D is the midpoint of segment AB
Given: E is the midpoint of segment BC
Prove: segment BD is congruent to segment EC
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Question 1196786: Given: segment AB is congruent to segment BC
Given: D is the midpoint of segment AB
Given: E is the midpoint of segment BC
Prove: segment BD is congruent to segment EC Answer by greenestamps(13200) (Show Source):
How formal do you want/need to be? The result is pretty obvious.
BD is half of AB and CE is half of BC; and AB and BC are congruent. That makes BD and EC congruent: halves of two things that are congruent makes those halves congruent.
