Secant Lines - Segment Lengths

Front

What is a secant line?

Back

A secant line is a line that intersects a curve at two or more points.

Front

How do you find the length of a segment formed by secant lines?

Back

To find the length of a segment formed by secant lines, use the segment length formula based on the coordinates of the intersection points.

Front

What is the relationship between secant segments and tangent segments?

Back

The square of the length of a tangent segment is equal to the product of the lengths of the entire secant segment and its external segment.

Front

If two secant lines intersect outside a circle, how do you find the lengths of the segments?

Back

Use the formula: (length of first secant segment) * (length of external part) = (length of second secant segment) * (length of external part).

Front

What is the formula for the length of a secant segment?

Back

The length of a secant segment can be calculated using the formula: length = √(external segment * total segment).

Front

How do you solve for 'x' in secant line problems?

Back

Set up an equation based on the relationships between the segments and solve for 'x' using algebra.

Front

What is the significance of external segments in secant line problems?

Back

External segments are crucial for applying the secant-tangent theorem and for calculating segment lengths.

Front

What is the secant-tangent theorem?

Back

The secant-tangent theorem states that the square of the length of a tangent segment is equal to the product of the lengths of the entire secant segment and its external segment.

Front

How can you verify your answer in secant line problems?

Back

You can verify your answer by substituting back into the original equations to check for consistency.

Front

What is the first step in solving a secant line problem?

Back

Identify the secant segments and their relationships, and write down the known lengths.