
Circles Inscribed Angles
Presentation
•
Mathematics
•
9th - 12th Grade
•
Hard
Joseph Anderson
FREE Resource
13 Slides • 9 Questions
1
4.1b Lesson: Inscribed Angles in Circles
SOL G.11.a
I can describe arc measures associated with inscribed angles.
2
Open Ended
How do you know the given image is a circle?
How can you verify or prove that it is a circle?
Show your work!
3
Multiple Choice
Find the measure of Arc TW.
319º
41º
360º
82º
4
5
Inscribed Angles
Inscribed Angles are angles with their vertex ON the circle.
They look like this ------------------>
6
Here are some NON-examples. These are NOT inscribed angles.
7
Inscribed Angles vs. Central Angles
Take a look at the Central Angle ∠POR to the right. It has the intercepted arc PR.
What do you know about the measure of arc PR?
8
Multiple Choice
What is the measure of arc PR ?
360º
45º
90º
180º
9
Inscribed Angles vs. Central Angles
∠PQR shares the same intercepted arc PR.
Do the measure of the central angle and inscribed angle appear equal?
10
Open Ended
In general, what can you tell about the measure of
∠PQR compared to ∠PQR11
Take a look at this animation similar to our Circle O
12
Inscribed Angles have a measure that is exactly HALF of the measure of their intercepted arc.
arc PR = 90°
∠PQR=45°
13
Multiple Choice
What is the measure of
∠EDF ?(click image to enlarge)
120º
60º
180º
360º
14
15
Multiple Choice
What is the measure of
∠XWE ?(click image to enlarge)
180º
112º
56º
360º
16
17
Multiple Choice
Find the measure of the
arc DC .(click image to enlarge)
124º
62º
31º
360º
18
19
Multiple Choice
Find the measure of the
arc XW .(click image to enlarge)
56º
180º
360º
106º
20
21
Poll
Choose the option that best describes you.
I understand inscribed angles and arcs completely so far. I could answer more difficult questions on my own.
I think I understand inscribed angles and arcs, but I need more practice right now.
I need to be retaught the entire lesson.
22
Find the 4.1b Practice: Inscribed Angles in Circles (SOL G.11.b) ✏️
4.1b Lesson: Inscribed Angles in Circles
SOL G.11.a
I can describe arc measures associated with inscribed angles.
Show answer
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