Midpoint & Partition of a 1-Dimensional Segment Learning Target : Students can find the point on a directed line segment between two given points that.

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Presentation transcript:

Midpoint & Partition of a 1-Dimensional Segment Learning Target : Students can find the point on a directed line segment between two given points that partitions the segment in a given ratio.

Midpoint Given 2 ordered pairs, it’s the AVG of the x’s and AVG of the y’s. Given 2 ordered pairs, it’s the AVG of the x’s and AVG of the y’s.

Midpoint Formula

Find the midpoint. 1. (3, 7) and (-2, 4) 2. (5, -2) and (6, 14) (.5, 5.5) (5.5, 6)

Find the midpoint. 3. (3, -9) and (14, 16) 4. (12, 17) and (-7, 9) (8.5, 3.5) (2.5, 13)

Find the midpoint. 5. (2, 3)

Find the midpoint. 6. (1.5, 4)

Given the midpt and one endpt, find the other endpt. 7. Midpt (3, -6) Endpt (7, -3) (-1, -9)

Given the midpt and one endpt, find the other endpt. 8. Midpt (-1, 2) Endpt (3, 0) (-5, 4)

Given the midpt and one endpt, find the other endpt. 9. Midpt (-4, 6) Endpt (2, 1) (-10, 11)

Partition Line Segments (1 Dimension)

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.

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

Classwork / Homework Partitioning Segments By a Ratio