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Unit 8 – Day 1 Homework AssignmentPowerPoint Presentation

Unit 8 – Day 1 Homework Assignment

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Unit 8 – Day 1 Homework Assignment

- Read through and take notes from the following slides
- Write down any questions you have while reading
- Things you don’t understand
- Definitions that sound confusing
- etc

- Write down and attempt to solve each example problem
- Leave yourself room to show work

Unit 8 Essential Questions

- What is the difference between tangent, chord and secant lines and how do they relate to segment lengths in a circle?
- How are arc measures related to central, inscribed, and circumscribed angles?

Unit 8 Bonus Question

- Will be posted on website shortly

Today’s Objective

11-1 Tangent Lines

- Students will be able to use the relationship between a radius and a tangent.
- Students will be able to use the relationship between two tangents from one point.

Circle

- Definition:A circle is a set of points equidistant from a given point.
- Name:

Radius

- Definition:A segment with one endpoint at the center and one endpoint on the circle.
- Note: All radii of the
same circle are congruent!

(Plural of Radius)

Tangent of a Circle

- Definition: A Tangent Lineis a line that touches a circle at exactly one point.
- Definition: A Point of Tangency is the point where the tangent line touches the circle.

O

B

A

Theorem 1

- If a line is tangent to a circle, then it is perpendicular to the radius at the point of tangency

O

B

A

Inscribed vs Circumscribed

- A figure is INscribed in another figure if it is completely INside the other figure.
- The circle is inscribed in the triangle

- A figure is circumscribed about another figure if it completely surrounds the other figure.
- The circle circumscribes the triangle

Example 5

- The circle is inscribed in ∆ABC. Find the perimeter of ∆ABC
- Hint: Apply Thm 2

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