Unit 2 Find the Midpoint of a Line Segment Learning Goals: I can find the midpoint of a line segment by applying what I know about averages. I can solve.

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Presentation transcript:

Unit 2 Find the Midpoint of a Line Segment Learning Goals: I can find the midpoint of a line segment by applying what I know about averages. I can solve problems involving midpoints, medians and the perpendicular bisector.

Midpoint of a Line Segment Midpoint refers to the middle of a line segment The coordinates of the midpoint are the average of the coordinates of the endpoints Formula: M =

Median (*add to definitions) A median is a line segment from the vertex of a triangle to the midpoint of the opposite side

Perpendicular Bisector (*add to definitions) A perpendicular bisector is a line that passes through the midpoint of a line segment and is perpendicular to that line segment

Example 1 Given the ΔABC where A(-3,1), B(3,5), and C(7,-3) a)Find M, the midpoint of BC b)Find the length of median AM c)Find the equation of AM

Example 2 Find the equation of the perpendicular bisector of the line segment joining P(-2,7) to Q(6,-1)

Homework Pg # 2aei, 9, 13