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

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Presentation transcript:

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

Midpoint Formula

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

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

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 (2 Dimensions)

Formula

What do you do when it doesn’t partition evenly?

Formula

Ex 1: Given the points A(–3, -2) and B(6, 1), find the coordinates of the point P on directed line segment that partitions in the ratio 2:1.

Ex 2: Given the points A(-3, -4) and B(2, 0), find the coordinates of the point P on directed line segment that partitions in the ratio 2:3.

Ex 3: Given the points A(-4, 4) and B(0, -4), find the coordinates of the point P on directed line segment that partitions in the ratio 1:3.

Ex 4: Given the points A(-2,1) and B(4, -4), find the coordinates of the point P on directed line segment that partitions in the ratio 2:4.