What is the relationship of lengths for two secant lines from a point outside of a circle

What is the relationship of lengths for two secant lines from a point outside of a circle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the properties of tangent and secant lines in circles. It begins with a recap of tangent lines, emphasizing that two tangent lines from a point to a circle are equal in length. The lesson then transitions to secant lines, explaining their differences from tangent lines and their properties. The tutorial concludes by comparing secant lines to chords, highlighting the similarities in their properties.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the lengths of two tangent lines drawn from a single point to a circle?

They are perpendicular.

One is double the other.

They are equal.

They are different.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does a secant line differ from a tangent line?

A secant line is parallel to the tangent line.

A secant line touches the circle at one point.

A secant line is always shorter.

A secant line crosses the circle at two points.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a key characteristic of a tangent line?

It is parallel to the radius.

It is longer than a secant line.

It is perpendicular to the radius at the point of contact.

It crosses the circle twice.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the similarity between secant lines and chords?

Both are perpendicular to the radius.

The product of their segments is equal.

They are both shorter than tangent lines.

They both touch the circle at one point.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the product of the segments of two secant lines?

It is greater than the product of the segments of two chords.

It is equal to the product of the segments of two chords.

It is less than the product of the segments of two chords.

It is always zero.