1. 2. Properties of radius and chords
Segments in Circles
Do Now 3/2:
Agenda
1. Do Now
2. Properties of radius and chords
3. Wagon wheel problem
4. Debrief

2. Find the Rest of the Wagon Wheel

3. Tangents
Draw non-examples of a tangent.

4. Radii and Chords Draw a diameter
Draw a chord perpendicular to the diameter.

5. Properties of Radii
If a radius and a tangent meet at the point of tangency then they form a 90 degree angle.
If a radius and a chord meet at 90 degrees, then the radius bisects that chord.
**MUST BE IN NOTES!**

6. Segments in Circles DO NOW 3/3: Agenda 1. Do Now
2. Wagon Wheel Problem
3. Properties of Tangents
4. Check for Understanding/Debrief

7. Wagon Wheel Problem What is the diameter?
2. If this is a 1:12 scale drawing, what was the size of the actual wheel?

8. Properties of Tangents
Using what we know about properties of radii and tangents, determine the measures of segments QN and MN.
If two tangents meet at a common point, the segments (from the point of tangency to that common point) are congruent.
**MUST BE IN NOTES!**

9. Independent Practice / Debrief

10. Segments in Circles: Chords
Do Now 3/4:
1. Do Now/HW Review
2. Derivation of Chords Formula
3. Properties of Chords
4. Geogebra Examples
5. Debrief

11. HW Review: CYU #2-6

12. Derivation of Chord Formula
Draw two chords MA and TH that intersect at point O.
Draw MT and AH.
What do we know is true about △MOT and △HOA?
Set up a proportion using the sides of the similar triangles.
Cross multiply and solve.

13. Properties of Chords
If two chords intersect in a circle, then the product of the two segments of one chord equal the product of the two segments of the other chord.
**MUST BE IN NOTES!**

14. Independent Practice/Debrief

15. Segments in Circles: Chords (2)
Do Now 3/5:
Find the length of BC if DE = 32cm, AG=12cm
and AF = 9cm.
Agenda
1. Do Now
2. Segment Properties Quiz
3. Intersecting Chords in Circles Practice
4. Geogebra Demo/Debrief

16. Intersecting Chords Practice
Use the formula AB * BC = DB * BE where AC and DE are chords that intersect at point B.

17. Segments in Circles: Secants
Do Now 3/6:
Find the length of x.
Agenda
1. Do Now
2. Geogebra Example/Derive Secant Formula
4. Secant Example and Guided Practice
5. Independent Practice/Debrief

18. HW Review

19. Derivation of Secant Formula
Draw chord GH and IF.
Mark congruent angles.
What is true about △GHE and △IFE?
Write a proportion using the secants.
Cross multiply to solve.
**MUST BE IN NOTES!**

20. Secant Lengths in Circles (Guided Practice)

21. Independent Practice/Debrief