2.4 CW - Partitioning and Midpoint.docx

# 2.4 CW - Partitioning and Midpoint.docx - Name Date...

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Name: __________________________________________________________________ Date: _____________________ Partitioning Line Segments in 2 Dimensions MCC9-12.G.GPE.6 Find the point on a directed line segment between two given points that partitions the segment in a given ratio. 1. Given the points A(–1, 2) and B(7, 14), find the coordinates of the point P on directed line segment AB that partitions AB in the ratio 1:3. 2. Given the points A(-2, 4) and B(7, -2), find the coordinates of the point P on directed line segment AB that partitions AB in the ratio 1:2. 3. Given the points A(-3, -4) and B(5, 0), find the coordinates of the point P on directed line segment AB that partitions AB in the ratio 2:3. 4. The map shows a straight highway between two towns. Highway planners want to build two new rest stops between the towns so that the two rest stops divided the highway into three equal parts. Find the coordinates of the points at which the rest stops should be built.

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Use the map and the information given to solve each problem that follows.
• Fall '18
• Stephanie Stiers
• Manhattan, Line segment, Streets in Manhattan

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