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Back to Find point partitioning segment — Problem 5 · Task Set 35

Exercises: Find the Point Partitioning a Directed Line Segment

Show your work for each problem. Unless a problem says otherwise, a ratio m:nm:n always describes the directed segment read from the first named point to the second. Give coordinates as exact values, using fractions rather than rounded decimals.

Grade 10·25 problems·~35 min·Common Core Math - HS Geometry·standard·hsg-gpe-b-6
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Fluency Practice

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Find the point that partitions the directed segment from the origin (0,0)(0, 0) to T(5,7)T(5, 7) in the ratio 1:21:2. Give exact coordinates as fractions.