
6.3/6.4 Special Segments in Circles
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a tangent to a circle?
Back
A tangent to a circle is a straight line that touches the circle at exactly one point.
2.
FLASHCARD QUESTION
Front
What is the relationship between a radius and a tangent at the point of contact?
Back
The radius drawn to the point of contact is perpendicular to the tangent line.
3.
FLASHCARD QUESTION
Front
Define a secant line in relation to a circle.
Back
A secant line is a line that intersects a circle at two points.
4.
FLASHCARD QUESTION
Front
What is the formula for the length of a tangent segment from a point outside the circle?
Back
The length of the tangent segment is given by the formula: \( t = \sqrt{d^2 - r^2} \), where \( d \) is the distance from the point to the center of the circle and \( r \) is the radius.
5.
FLASHCARD QUESTION
Front
What is the measure of an angle formed by two tangents drawn from a point outside the circle?
Back
The measure of the angle formed by two tangents is equal to half the difference of the measures of the intercepted arcs.
6.
FLASHCARD QUESTION
Front
How do you find the length of a tangent segment if you know the radius and the distance from the external point to the center?
Back
Use the formula: \( t = \sqrt{d^2 - r^2} \) to calculate the length of the tangent segment.
7.
FLASHCARD QUESTION
Front
What is the power of a point theorem?
Back
The power of a point theorem states that for any point outside a circle, the square of the length of the tangent segment from the point to the circle is equal to the product of the lengths of the segments of any secant line drawn from that point.
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