Exploring Inscribed Angles and Their Theorems

The video uses a pizza-cutting scenario to introduce and explain inscribed angles. Friends attempt to cut equal slices, but Wise Guy Louie cuts an inscribed angle instead of a central angle. The video explains the properties of inscribed angles and applies the inscribed angle theorem to determine the angle measure, showing that Louie's slice is larger. The lesson concludes with a reflection on the experience.

How many degrees are there in a full circle?

• 180 degrees

• 90 degrees

• 360 degrees

• 270 degrees

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CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

How many friends, including the narrator, were present to share the pizza?

• 6

• 3

• 4

• 5

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CCSS.HSG.C.A.2

What type of angle did Wise Guy Louie cut?

• Obtuse angle

• Inscribed angle

• Central angle

• Acute angle

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

What is the measure of arc AB intercepted by the angle cut by Wise Guy Louie?

• 360 degrees

• 90 degrees

• 45 degrees

• 180 degrees

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CCSS.RL.6.2

CCSS.RL.7.1

CCSS.RL.7.2

CCSS.RL.8.1

CCSS.RL.9-10.2

What was the reaction of the friends to Wise Guy Louie's action?

• They were indifferent

• They were amused

• They were pleased

• They were annoyed

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CCSS.HSG.C.A.2

What theorem is used to find the measure of the angle in the scenario?

• Inscribed Angle Theorem

• Angle Sum Theorem

• Pythagorean Theorem

• Central Angle Theorem

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CCSS.HSG.C.A.2

What is the measure of the angle AQB according to the Inscribed Angle Theorem?

• 360 degrees

• 180 degrees

• 90 degrees

• 45 degrees

Tags

CCSS.HSG.C.A.2

Why did Wise Guy Louie end up with the biggest slice?

• He misunderstood the instructions

• He applied the Inscribed Angle Theorem correctly

• He cut the pizza into equal slices

• He was the last to cut

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CCSS.HSG.C.A.2