Thursday, November 30, 2006
Geometry (Class 31)
Announcements
Mid-Term Make-Up for those who were absent (excused) for the Mid-Term is today in room M100 from 2:50 to 4:30. Bring your materials!
Overview
§5.2 (p.272) Bisectors of a Triangle
In this lesson we investigate where to locate a hospital between three cities such that the distances from each of the cities to the hospital are equal. We see how properties related to bisectors of segments or angles can help.
Key Ideas
The intersection of the perpendicular bisectors of the sides of a triangle is called the circumcenter of the triangle.
A circle can be circumscribed around a triangle by using the circumcenter as the center and the distance from the circumcenter to a vertex of the triangle as the radius.
Key Skills
Construct the perpendicular bisectors of a triangle.
Construct the circumcenter of a triangle (the point equidistant from the vertices of a triangle).
Construct the circumcircle (the circle that only passes through the three vertices) of a triangle.
Using the properties of a perpendicular bisector of the sides of a triangle to solve problems and write proofs.
Vocabulary
concurrent lines
point of concurrency
circumcenter of a triangle
circumcircle
circumscribe
Handouts
Hospital Locator
Assignment
§5-2 (Txt. p.275) #14, 17, 20, 22, 24-26
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