Exploring Central and Inscribed Angles

What platform was announced for future class meetings?

• Skype

• Zoom

• Microsoft Teams

• Google Meet

What is the difference between a tangent and a secant in geometry?

• A tangent touches the circle at two points, while a secant does not touch the circle.

• A secant and a tangent both intersect the circle at one point.

• A tangent intersects the circle at one point, while a secant intersects it at two points.

• There is no difference between a tangent and a secant.

What defines a diameter in a circle?

• The longest chord that passes through the center of the circle.

• The shortest chord in the circle.

• A line that touches the circle at one point.

• A segment that connects any two points on the circle.

How is a major arc named differently from a minor arc?

• By using two points for a minor arc and three points for a major arc.

• Major arcs are not named.

• Major and minor arcs are named using the same method.

• By using three points for a minor arc and two points for a major arc.

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CCSS.HSG.C.A.2

What is the relationship between the measure of a central angle and its corresponding arc?

• The measure of the central angle is twice the measure of the arc.

• There is no relationship between the measure of a central angle and its arc.

• The measure of the central angle is half the measure of the arc.

• The measures of the central angle and the arc are equal.

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CCSS.HSG.C.A.2

How is the measure of an inscribed angle related to its intercepted arc?

• The measure of the inscribed angle is equal to the measure of the intercepted arc.

• The measure of the inscribed angle is one-fourth the measure of the intercepted arc.

• The measure of the inscribed angle is twice the measure of the intercepted arc.

• The measure of the inscribed angle is half the measure of the intercepted arc.

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CCSS.HSG.C.A.2

What is the measure of an arc if its corresponding central angle measures 30 degrees?

• 15 degrees

• 30 degrees

• 90 degrees

• 60 degrees

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CCSS.HSG.C.A.2

If an inscribed angle measures 50 degrees, what is the measure of its intercepted arc?

• 25 degrees

• 50 degrees

• 100 degrees

• 200 degrees

What property do opposite angles in a quadrilateral inscribed in a circle have?

• They have no specific relationship.

• They are equal.

• They are supplementary.

• They are complementary.

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What is the measure of the remaining arc if one arc measures 200 degrees in a circle?

• 160 degrees

• 200 degrees

• None of the above

• 360 degrees

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CCSS.4.MD.C.5B

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