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          1
11.1 Continued ‐

    Properties/Theorems Assosciated with Tangents




                                                    2
Example Problems:

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




                                                                3
2. BC is tangent to circle A from B. BC = 12, AC = 5. Find BD.




                                                                 4
3. Triangle ABC is a circumscribed triangle. Find its perimeter.




                                                                   5
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.




                                                    6
9. Find AB if it is a common external tangent. AD = 7, BC = 2, and
DC = 13.




                                                                     7
10. Find AB if it is a common external tangent. AD = 10, BC = 3, and
FG = 12.




                                                                       8
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.




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11.1 11.2 notes a

  • 2. 11.1 Continued ‐ Properties/Theorems Assosciated with Tangents 2
  • 3. Example Problems: 1. PA and PB are tangent segments from P. PO = 17, OA = 8, mLAPO = 28. Find mLPOA and PB. 3
  • 4. 2. BC is tangent to circle A from B. BC = 12, AC = 5. Find BD. 4
  • 5. 3. Triangle ABC is a circumscribed triangle. Find its perimeter. 5
  • 6. 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. 6
  • 7. 9. Find AB if it is a common external tangent. AD = 7, BC = 2, and DC = 13. 7
  • 8. 10. Find AB if it is a common external tangent. AD = 10, BC = 3, and FG = 12. 8
  • 9. 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. 9
  • 10. 10