Problem 31 of 7
Use the converse of the side-splitter theorem to prove lines parallel from ratios 2/5 and 3/7.
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compare segment ratios.
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Converse applies when two sides are divided proportionally.
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Solution
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1. Compute the ratio of the two segments on one side.
2. Compute the ratio of the two segments on the other side.
3. Compare ratios and apply the converse if equal.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Concluding parallel from unequal ratios.