1. Notes #3 (1.3) 1-3 Distance and Midpoints
Standard 17.0 Students prove theorems using coordinate geometry including the midpoint of a line segment, and the distance formula midpoint
Objective: Find the distance between two points and the midpoint of a segment.

2. The distance between P and Q is written
Number Line P Q a
The distance between P and Q is written
PQ = |b – a| or |a – b| b

3. The Distance Formula
The distance d between two points (x1,y1) and (x2,y2) is given by
B(x2, y2)
A(x1, y1)

6. Classwork #6
Pg. 25 (11-25)odd
Homework #6
Pg. 25 (12-28) even

7. Midpoint Formulas
The midpoint of a segment is the point on the segment that divides the segment into two congruent segments
Number Line Coordinate Plane
a and b are the endpoints
x1, y1, x2, and y2 are
coordinate points on the graph

8. Example Find the coordinate of Find the coordinate of
the midpoint of JK, where
J(-1,2) and K(6, 1)
Find the coordinate of
the midpoint of PQ, where
P is -20 and Q is 40

9. Example
Find the coordinates of the endpoint X if Y(-1,6) is the midpoint of XZ and Z (2,8)

11. Classwork #7
Pg. 25 (5-10)
Homework #7
Pg. 27 (29-45) odd