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LESSON THIRTY-ONE: WHAT’S YOUR ANGLE?

LESSON THIRTY-ONE: WHAT’S YOUR ANGLE?. WHAT’S YOUR ANGLE?. Now that we have talked about inscribed figures, we can delve a bit more into ____________ within circles. WHAT’S YOUR ANGLE?. In a circle, there are infinitely many combinations of _______________________.

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LESSON THIRTY-ONE: WHAT’S YOUR ANGLE?

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  1. LESSON THIRTY-ONE:WHAT’S YOUR ANGLE?

  2. WHAT’S YOUR ANGLE? • Now that we have talked about inscribed figures, we can delve a bit more into ____________within circles.

  3. WHAT’S YOUR ANGLE? • In a circle, there are infinitely many combinations of _______________________. • This is an angle whose ________________ is the _________________ of a circle.

  4. WHAT’S YOUR ANGLE? • The two arcs that are created when a circle is divided by a central angle are called the ___________________________ and ____________________________.

  5. WHAT’S YOUR ANGLE? • The _________________is the one on the ______________ of the _________________________________. • This one has been labeled for you. A B X C

  6. WHAT’S YOUR ANGLE? • The ___________________is the one on the ___________________of the _____________ ____________________________. • Draw the arc on this circle below! A B X C

  7. WHAT’S YOUR ANGLE? • When naming the ____________________we need only two letters. • The minor arc below could be named _______ or _______. A B X C

  8. WHAT’S YOUR ANGLE? • The ________________ however, need _______________ letters to be accurately labeled. • ____________ or ______________ could be names for the ____________ below. A B X C

  9. WHAT’S YOUR ANGLE? • The ___________ of the ____________and ____________arc will always be ________ _____the __________________ which creates them.

  10. WHAT’S YOUR ANGLE? • When given one, you can find the other by simply, _______________________________ _________________________. • Furthermore, you can find the ___________ of two non-overlapping arcs by simply ______________ their measures.

  11. WHAT’S YOUR ANGLE? • Sometimes, a circle be divided directly _____ ______________. • The result is two _______________________. • All of these have a measure of ____________. • You may apply the same principles we just discussed to _________________________.

  12. WHAT’S YOUR ANGLE? • For example, let’s see if we can find ________ _____________below. A X C 210

  13. WHAT’S YOUR ANGLE? • What about arc ____________? A 42 B X C

  14. WHAT’S YOUR ANGLE? • Aside from central angles, there are also ________________________. • This is an angle whose __________ is _______ the circle.

  15. WHAT’S YOUR ANGLE? • How do you suppose ___________________ and _______________________ are related?

  16. WHAT’S YOUR ANGLE? • The measure of the ___________________ will be __________ of the included ________ ________________. • Furthermore, if two inscribed angle intercept the same ___________, then they are _____________________. • Also, an inscribed angle that intercepts a ______________ is a _______________.

  17. WHAT’S YOUR ANGLE? • We will be able to use this information to solve all kinds of problems. • See if you can find arcs _______ and _______. B C 40 A

  18. WHAT’S YOUR ANGLE? • See if you can find arcs ______________ and _____________ below. • HINT: You may have to draw on some old knowledge. B 45 C 60 A

  19. WHAT’S YOUR ANGLE? • Try this…find the central angle! B C 70 A

  20. WHAT’S YOUR ANGLE? • It will help you as you do these problems to fill in _________________________ as you go! • You might crack the code without even really knowing it!

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