
Unit 10: Circles Homework 5: Tangent Lines Flashcard
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a tangent line?
Back
A tangent line is a straight line that touches a circle at exactly one point, known as the point of tangency.
2.
FLASHCARD QUESTION
Front
What is the relationship between a radius and a tangent line at the point of tangency?
Back
The radius drawn to the point of tangency is perpendicular to the tangent line.
3.
FLASHCARD QUESTION
Front
If two tangent segments are drawn from a point outside a circle, what can be said about their lengths?
Back
The lengths of the two tangent segments are equal.
4.
FLASHCARD QUESTION
Front
How do you find the length of a tangent segment from a point outside the circle?
Back
Use the Pythagorean theorem: if the distance from the point to the center of the circle is 'd' and the radius is 'r', then the length of the tangent segment 't' is given by t = √(d² - r²).
5.
FLASHCARD QUESTION
Front
What is the formula for the length of a tangent segment from a point outside the circle?
Back
Length of tangent segment = √(distance from point to center² - radius²).
6.
FLASHCARD QUESTION
Front
If a tangent line intersects a radius at a right angle, what does this imply about the tangent line?
Back
It confirms that the line is indeed a tangent line to the circle.
7.
FLASHCARD QUESTION
Front
What is the significance of the point of tangency?
Back
The point of tangency is the only point where the tangent line touches the circle.
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