Proof that if B is the midpoint of AC and C is te midpoint of BD than AB=~CD

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Given: _______
Prove: _______

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1 Answer

By definition, AB=BC and BC=CD, so AB=BC=CD and since AB+BC+CD=AD, AB=BC=CD=AD/3. AB=CD=AD/3.

Since there are three equal-sized segments,

AB=BC; AB=CD; BC=CD; AD=3AB=3BC=3CD; AC=BD=2AB=2BC=2CD
by Top Rated User (782k points)

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