If B is between A and D, then AB + BD = AD
Segment Addition Postulate
Let’s first construct a line segment AD.
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A—————-D
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Now let’s add another point B that is between A and D.
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A———B——D
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We want to prove that AB + BD = AD.
We know that since B is between A and D, we can write AD as the sum of AB and BD.
AD = AB + BD
Now we want to show that AB + BD = AD.
Using the segment addition postulate, we know that if we add AB and BD, we will get AD.
AB + BD = AD
Therefore, we have proven that if B is between A and D, then AB + BD = AD.
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