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Warm UP February 18

Understand how to partition directed line segments into specific ratios with visual examples and solutions. Learn how to find points along line segments dividing them in given proportions. Practice and enhance your spatial reasoning skills.

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Warm UP February 18

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  1. Warm UPFebruary 18 • Point M (-2, 3) is the midpoint of AB. Point A is located at (-8, 2). Find the location of Point B. • Simplify.

  2. EOCT Week 6 #2

  3. ExtensionDirected Line Segments EQ: What does it mean to partition a line segment?

  4. Video Clip http://www.youtube.com/watch?v=1kKm41MKLHI&feature=youtu.be

  5. A directed line segment is a segment between two points A and B with a specified direction, from A to B or from B to A. To partition a directed line segment is to divide it into two segments with a given ratio.

  6. Partition Line Segments(1 Dimension)

  7. Partition – 1 Dimension A is at 1, and B is at 7. Find the point, T, so that T partitions A to B in a 2:1 ratio. Answer: T is located at 5

  8. Partition – 1 Dimension A is at -6 and B is at 4. Find the point, T, so that T is in a 2:3 ratio. Answer: T is located at -2

  9. Partition Line Segments(2 Dimensions)

  10. Example 1: Finding the Coordinates of a Point in a Directed Line Segment Find the point Q along the directed line segment from point R(–3, 3) to point S(6, –3) that divides the segment into the ratio 2 to 1 (3, -1)

  11. Try One! Find the point M along the directed line segment from point A(–3, 3) to point B(2, –7) that divides the segment into the ratio 2 to 3. (-1,-1)

  12. Your Turn… Find the point M along the directed line segment from point A(–3, 9) to point B(13, –1) that divides the segment into the ratio 1:3. (Hint: M is closer to B… so really you are doing a 3:1 ratio, so this changes your fraction!) Answer: (9, 1.5)

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