Tuesday, May 26, 2009
Geometry (Class 83)
Lesson Title
Circles (3): Tangents to Circles
Overview
The opener today continues to focus on the application of right triangle trigonometry. The lesson moves students further into the study of the relationships between angles and segments related to circles. Today the focus on lines which are tangent to a circle.
Textbook Sections
§10.1 (Txt. p.595) Tangents to Circles
Vocabulary
circle
circumference
diameter
radius
chord
secant
tangent
central angle
arc
arc length
arc angle
inscribed angle
inscribed arc
Key Attitudes
Math is about building up understanding one idea at a time.
Key Ideas
A line which is tangent to a circle touches the circle in exactly one point.
A radius drawn to the point of tangency is perpendicular to the tangent line.
If two segments from the same exterior point are tangent to a circle, then the segments are congruent.
Key Skills
I can construct a line tangent to a circle.
I can prove use congruent triangles to prove theorems about tangents.
I can use concepts of tangents to solve puzzles.
Turn-In (#82)
Chapter 10- Lesson 1 Practice 1- ALL
Handouts
Chapter 10- Lesson 2: Tangents to Circles
Assignment
Chapter 10- Lesson 1: Practice 2- ALL
Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.
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