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

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Presentation transcript:

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

EOCT Week 6 #2

Extension Directed Line Segments EQ: What does it mean to partition a line segment?

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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.

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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

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

Partition Line Segments (2 Dimensions)

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)

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)

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)