Tuesday, November 21, 2006
Geometry (Class 29)
Announcements
The assignment for this class has changed from the one on the assignment sheet.
The Make-Up for the Mid-Term will be on Th. Nov. 30 from 2:50 to 3:30 in M100. This is the only opportunity to take the Mid-Term if you were absent (excused) the day it was given.
Overview
§5.1 (p.264) Perpendicular Bisectors
In this lesson we investigate the properties of a perpendicular bisector of a segment.
Key Ideas
The distance from a point to a line is the length of a segment that is perpendicular to the line passing through the point.
If a point is on the perpendicular bisector of a segment, then the point is equidistant from the endpoints of the segment.
If a point is equidistant from the endpoints of a segment, then the point is on the perpendicular bisector of the segment.
Key Skills
Construct a perpendicular bisector of a segment.
Measure the distance from a point to a line.
Calculate the distance between two points using the distance formula.
Determine if a point is equidistant from the endpoints of a segment.
Use Theorem 5.1 (Perpendicular Bisector Theorem) and the converse of Theorem 5.1 to prove statements.
Justify that a given segment is a perpendicular bisector based on information provided in a diagram.
Vocabulary
Perpendicular Bisector
Equidistant
Handouts
Coffee Shop Problem
Assignment
Note: There are different assignments for different classes.
B3: §5-1 (Txt. p.268) #8-10 14, 16, 30
B4: Coffee Shop Problem Proofs
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