Notes #3 (1.3) 1-3 Distance and Midpoints

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Presentation transcript:

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.

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

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

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

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

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

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

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