2.7 finding the midpoint of a line segment, median and perpendicular bisector

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2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

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Page 1: 2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

Page 2: 2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

Goal for Today:• Investigate how to find the midpoint of a line

segment

Page 3: 2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

• Recall yesterday’s situation with Mary and George...

Page 4: 2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

(8,9)

(1,2)

Page 5: 2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

• Mary and George want to stop and have lunch after talking to their friend at the half way point

• How can Mary and George figure out what the half-way point is?

• Use all of your materials from yesterday, including your individual graph paper...

Page 6: 2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

(8,9)

(1,2)

Page 7: 2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

Page 8: 2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

Page 9: 2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

• A Triangle has vertices A(-3, -1), B (3,5) and C(7,-3) Find the equation of the median that originates at vertex A

Page 10: 2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

• A Triangle has vertices A(-3, -1), B (3,5) and C(7,-3) Find the equation of the median that originates at vertex A

Page 11: 2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

• Line segment PQ is formed by the points P (-1, 4) and Q (3, -2). Find the equation of the perpendicular bisector

Page 12: 2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

• Line segment PQ is formed by the points P (-1, 4) and Q (3, -2). Find the equation of the perpendicular bisector

Page 13: 2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector

Homework: p.173, #2aid, 3, 5, 13, 14 & 15