Understanding Inscribed Angles

The video tutorial covers inscribed angles in circles, explaining that the measure of an inscribed angle is half the measure of its intercepted arc. It discusses the congruency of inscribed angles intercepting the same arc and explores the properties of right angles inscribed in circles, where the hypotenuse is the diameter. Additionally, it explains the conditions for a quadrilateral to be inscribed in a circle, focusing on the supplementary nature of opposite angles. The tutorial provides examples and visual aids to enhance understanding.

What is the measure of an inscribed angle in relation to its intercepted arc?

• Half the arc

• One-third of the arc

• Twice the arc

• Equal to the arc

Tags

CCSS.HSG.C.A.2

If two inscribed angles intercept the same arc, what can be said about these angles?

• They are complementary

• They are congruent

• They are supplementary

• They are equal to the arc

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CCSS.HSG.C.A.2

What is the measure of an arc if the inscribed angle is 35 degrees?

• 140 degrees

• 35 degrees

• 70 degrees

• 105 degrees

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CCSS.HSG.C.A.2

What is true about a right angle inscribed in a circle?

• The hypotenuse is an arc

• The hypotenuse is a diameter

• The hypotenuse is a tangent

• The hypotenuse is a chord

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CCSS.HSG.C.A.2

If one side of an inscribed triangle is the diameter, what type of triangle is it?

• Equilateral triangle

• Scalene triangle

• Isosceles triangle

• Right triangle

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CCSS.HSG.C.A.2

If angle A in an inscribed triangle is 38 degrees and the triangle is right-angled, what is angle B?

• 38 degrees

• 90 degrees

• 52 degrees

• 180 degrees

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CCSS.HSG.C.A.3

In an inscribed quadrilateral, what is true about its opposite angles?

• They are equal

• They are supplementary

• They are complementary

• They are congruent

Tags

CCSS.HSG.C.A.2

If one angle of an inscribed quadrilateral is 110 degrees, what is the measure of its opposite angle?

• 180 degrees

• 70 degrees

• 90 degrees

• 110 degrees

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CCSS.HSG.C.A.3

What is the sum of the opposite angles in an inscribed quadrilateral?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

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CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

What is the total degree measure of a circle?

• 220 degrees

• 180 degrees

• 360 degrees

• 270 degrees

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CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1