How do the lengths of two secant lines from a point outside a circle compare

How do the lengths of two secant lines from a point outside a circle compare

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial discusses the relationship between the lengths of two secant lines intersecting a circle. Initially, the concept of cords within a circle is introduced. The tutorial then explains a special relationship involving the product of the lengths of secant lines. The formula AB * AC = AD * AE is presented, where the product of the length from a point outside the circle to the circle and the whole secant line is equal to the product of the other secant line's length to the circle and its whole length. The tutorial concludes with a summary of this geometric relationship.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the equation 'the product of a B times AC is equal to a d * a E' represent?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Summarize the relationship between the lengths of secant lines and their segments.

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