Distance and Midpoints

Distance and Midpoints Geometry Ms. Hough 1-3

Distance on a Number Line • Take the absolute value of the distance between the two points. PQ = │b-a│ or │a - b│ CD = │-5 - 1│ = │-6│ P Q a b C D -8 -7 -6 -5 -4 -3 -2 -1 0 1 2

Example 1 • Use the number line to find each measure KM JM KL JL -8 -7 -6 -5 -4 -3 -2 -1 0 1 2

Distance on a Coordinate Plane • Use the two coordinate points and the formula to find the distance • Find the distance between the points R(5, 1) and S(-3, -3)

Your Turn… • Find the distance between D(-5, 6) and E(8, -4)

Midpoint • The midpoint of a segment is the point on the segment that divides the segment into two congruent segments. • If X is the midpoint of AB, the AX = XB.

Midpoint Formula • The coordinate of the midpoint of a segment with endpoints that have coordinates a and b is • The coordinates of the midpoint of a segment with endpoints that have coordinates (x1, y1) and (x2, y2) are

Example 2

Example 3

Your Turn… • The temperature dropped from 25˚ to -8˚. Find the midpoint of these temperatures. • Find the coordinates of the midpoint of AB for A(5, 12) and B(-4, 8)

Today… Homework Worksheet

Distance and Midpoints