Tangent and Secant Segment Theorem

Teacher MJ introduces the tangent-secant theorem, explaining the concepts of tangent and secant lines in geometry. The theorem states that the square of the length of the tangent segment is equal to the product of the measures of the secant segment and its external segment. Two example problems are solved to illustrate the application of the theorem. The video concludes with a brief mention of the next topic, the segment-segment theorem.

What is the main topic discussed in the video?

• Pythagorean Theorem

• Quadratic Equations

• Tangent and Secant Segment Theorem

• Circle Area Calculation

How many points does a secant intersect a circle?

• Two

• None

• One

• Three

What is the definition of a tangent in relation to a circle?

• A line that is parallel to the circle

• A line that intersects a circle at two points

• A line that intersects a circle at exactly one point

• A line that does not touch the circle

According to the tangent-segment theorem, what is the square of the tangent segment equal to?

• The product of the secant and its external segment

• The sum of the secant and its external segment

• The square of the secant segment

• The difference between the secant and its external segment

In the first example, what is the length of segment AB?

• 7

• 9

• 16

• 12

In the first example, what is the calculated length of the tangent segment DC?

• 7

• 16

• 12

• 9

In the second example, what is the given length of the tangent segment PT?

• 12

• 3

• 6

• 9

In the second example, what is the calculated length of segment AB?

• 9

• 3

• 6

• 12