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| Theorem 2 |
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| The area of a parallelogram is equal to that of a rectangle of the same base and of the same altitude. |
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| ABCD is a parallelogram and ABEF is a rectangle. They have common base AB and same height AF (or BE) |
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| Corollary |
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| Parallelograms having equal bases and equal altitudes are equal in area. |
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| A diagonal bisects a parallelogram. Each triangle has area equal to one half the area of the parallelogram. |
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| The same result is proved in the next theorem. |
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