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Geometry · G-GPE

Partition a Line Segment in a Given Ratio

To divide segment AB in ratio m:n from A, the point P = A + (m/(m+n)) × (B − A) for each coordinate.

GeometryCommon Core HSG-GPE.B.6G-GPEVerified correct ✓

Worked examples

Point P divides segment from A(4, 2) to B(7, 7) in the ratio 2:2 from A. Find the x-coordinate of P. Round to 4 decimal places if needed.
Answer: 5.5
Point P divides segment from A(0, 5) to B(-5, 4) in the ratio 3:1 from A. Find the y-coordinate of P. Round to 4 decimal places if needed.
Answer: 4.25

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