Tangent lines with circles

Flashcard
•
Mathematics
•
10th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a tangent line to a circle?
Back
A tangent line is a straight line that touches the circle at exactly one point, known as the point of tangency.
2.
FLASHCARD QUESTION
Front
What is the relationship between a tangent line and a radius at the point of tangency?
Back
The tangent line is perpendicular to the radius drawn to the point of tangency.
3.
FLASHCARD QUESTION
Front
How do you find the length of a tangent segment from a point outside the circle?
Back
The length of the tangent segment can be found using 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).
Tags
CCSS.HSG.C.A.2
4.
FLASHCARD QUESTION
Front
What is the formula for the circumference of a circle?
Back
The circumference C of a circle is given by the formula C = 2πr, where r is the radius.
Tags
CCSS.7.G.B.4
5.
FLASHCARD QUESTION
Front
What is the area of a circle?
Back
The area A of a circle is given by the formula A = πr², where r is the radius.
Tags
CCSS.7.G.B.4
6.
FLASHCARD QUESTION
Front
If a tangent line intersects a circle, what can be said about the angles formed?
Back
The angle formed between the tangent line and the radius at the point of tangency is a right angle (90 degrees).
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, and it is crucial for determining the relationship between the tangent and the radius.
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