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Day 31 Notes: 11.1

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Page 1: Day 31 Notes: 11.1

11.1 Continued ‐

Properties/Theorems Assosciated with Tangents

Title: May 6­2:15 PM (2 of 9)

Page 2: Day 31 Notes: 11.1

Example Problems:

1. PA and PB are tangent segments from P. PO = 17, OA = 8, mLAPO = 28. Find mLPOA and PB.

Title: May 6­2:16 PM (3 of 9)

Page 3: Day 31 Notes: 11.1

2. BC is tangent to circle A from B. BC = 12, AC = 5. Find BD.

Title: May 6­2:18 PM (4 of 9)

Page 4: Day 31 Notes: 11.1

3. Triangle ABC is a circumscribed triangle. Find its perimeter.

Title: May 6­2:19 PM (5 of 9)

Page 5: Day 31 Notes: 11.1

4. Draw two circles that have 4 common tangents.

5. Draw two circles that have 3 common tangents.

6. Draw two circles that have 2 common tangents.

7. Draw two circles that have 1 common tangent.

8. Draw two circles that have no common tangents.

Title: May 6­2:20 PM (6 of 9)

Page 6: Day 31 Notes: 11.1

9. Find AB if it is a common external tangent. AD = 7, BC = 2, and DC = 13.

Title: May 6­2:22 PM (7 of 9)

Page 7: Day 31 Notes: 11.1

10. Find AB if it is a common external tangent. AD = 10, BC = 3, and FG = 12.

Title: May 6­2:27 PM (8 of 9)

Page 8: Day 31 Notes: 11.1

11.2: Arcs and Chords (After completing #5, 6)

‐ With your partners, complete page 2 of your Chapter 11 Vocabulary Sheet. (check in)

‐ On a separate sheet of paper, complete p. 760 #11‐18. Turn in before you leave.

Title: May 7­12:50 PM (9 of 9)