montanakoda montanakoda
  • 19-09-2022
  • Mathematics
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Given: B is midpoint if AC
C is the midpoint if BD
Prove: AB is congruent to CD

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rvkacademic
rvkacademic rvkacademic
  • 19-09-2022

Answer:

See proof below

Step-by-step explanation:

If B is the midpoint of AC, then AB = BC

If C is the midpoint of BD then BC = CD

Using the transitive property of equality, if a = b and  b = c  then a =c

We apply this to the above line segments and get

If AB = BC and BC = CD then AB=CD
For two line segments to be congruent they must have the same length

So AB is congruent to CD

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