lesson thirty-one: what’s your angle?
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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 _______________________. - PowerPoint PPT PresentationTRANSCRIPT
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 _______________________.
• This is an angle whose ________________ is the _________________ of a circle.
WHAT’S YOUR ANGLE?
• The two arcs that are created when a circle is divided by a central angle are called the ___________________________ and ____________________________.
WHAT’S YOUR ANGLE?
• The _________________is the one on the ______________ of the _________________________________.
• This one has been labeled for you.
XC
AB
WHAT’S YOUR ANGLE?
• The ___________________is the one on the ___________________of the _____________ ____________________________.
• Draw the arc on this circle below!
XC
AB
WHAT’S YOUR ANGLE?
• When naming the ____________________we need only two letters.
• The minor arc below could be named _______ or _______.
XC
AB
WHAT’S YOUR ANGLE?
• The ________________ however, need _______________ letters to be accurately labeled.
• ____________ or ______________ could be names for the ____________ below.
XC
AB
WHAT’S YOUR ANGLE?
• The ___________ of the ____________and ____________arc will always be ________ _____the __________________ which creates them.
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.
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 _________________________.
WHAT’S YOUR ANGLE?
• For example, let’s see if we can find ________ _____________below.
X C
A
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WHAT’S YOUR ANGLE?
• What about arc ____________?
XC
A
B42
WHAT’S YOUR ANGLE?
• Aside from central angles, there are also ________________________.
• This is an angle whose __________ is _______ the circle.
WHAT’S YOUR ANGLE?
• How do you suppose ___________________ and _______________________ are related?
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 _______________.
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 _______.
40
CB
A
WHAT’S YOUR ANGLE?
• See if you can find arcs ______________ and _____________ below.
• HINT: You may have to draw on some old knowledge.
60
45
B
C
A
WHAT’S YOUR ANGLE?
• Try this…find the central angle!
70
B
C
A
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!