Monday, December 04, 2006
Geometry (Class 32)
Announcements
Geometry Quiz 6 Friday! The quiz will focus on §4.7 to §5.3.
Overview
§5.2 (p.272) Bisectors of a Triangle
Using the concepts and skills that have been developed in the course, students will determine the location which will allow an architect to construct a circular house with the maximum area. We will then investigate the geometric properties of the location of the house and develop a method for its location based on previously learned concepts and skills.
Key Ideas
The angle bisectors of a triangle are concurrent.
A circle can be inscribed in a triangle by using the point of concurrency of the angle bisectors.
The circle with the maximum area that will fit inside a triangle can be constructed by using the point of concurrency of the angle bisectors.
Key Skills
Construct the angle bisectors of a triangle.
Construct the incenter of a triangle (the point equidistant from the sides of a triangle).
Construct the incircle (the circle that is tangent to the three sides) of a triangle.
Use the properties of the angle bisectors of the angles of a triangle to solve problems and write proofs.
Vocabulary
tangent
inscribe
incenter
incircle
Handouts
Building an Addition
Assignment
Practice 5.2 B #1-6, 9-13
Practice 5.2 C #1, 2, 5-7
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