1.3 Distance and Midpoints

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Presentation transcript:

1.3 Distance and Midpoints

Draw a number line with the following points:

Find the length of… OM OM = AW AW = AM AM=

Distance Formula (on a number line)

Distance on the Cartesian Plane Graph points A and B, then find the distance between A and B #1 A (-4,1) B (-4, 7) AB = (notice the same x-coordinates)

#2 A (-4, 1) B (3, 0) Can’t Count: Must use distance formula:

Find the length of AB A (-2, -1) B (1, 3) AB = A (1, -2) B (9, 13)

You are building a see-saw in a playground You are building a see-saw in a playground. If A has a coordinate of 4, and B has a coordinate of 10, where should the fulcrum be?

Midpoint Formula (on a number line)

Midpoint of a Segment: The point halfway between the endpoints of the segment

Midpoint Formula (on the coordinate plane)

Find the Midpoint of segment AB.

The TOUGH Problems M (6, -4) is the midpoint of (-5, -3) and what other point? M (-2, 4) is the midpoint of (4, 1) and what other point? Find the length of PR (see board)