How do the lengths of tangent and secant line compare from a point outside of a circle

How do the lengths of tangent and secant line compare from a point outside of a circle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the concepts of secant and tangent lines in geometry. A tangent line touches a circle at one point and is perpendicular to a radius or diameter, while a secant line intersects the circle at two points. Both lines originate from a point outside the circle, and their lengths have a specific relationship: the square of the tangent segment equals the product of the secant segment and its external part. The tutorial concludes with an invitation to solve an example problem.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the characteristics of a secant line.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is a tangent line and how does it relate to a circle?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the point where a tangent line touches a circle?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the relationship between the lengths of tangent and secant lines from a point outside the circle.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you calculate the relationship of the lengths of the secant and tangent lines?

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