Tangents, Arcs, Chords

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a tangent in relation to a circle?
Back
A tangent is a line that touches a circle at exactly one point, known as the point of tangency.
2.
FLASHCARD QUESTION
Front
Define an arc in a circle.
Back
An arc is a portion of the circumference of a circle.
3.
FLASHCARD QUESTION
Front
What is a chord in a circle?
Back
A chord is a line segment whose endpoints lie on the circle.
4.
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 formula: length = √(distance from the point to the center of the circle² - radius²).
5.
FLASHCARD QUESTION
Front
What is the relationship between a tangent and a radius at the point of tangency?
Back
A tangent is perpendicular to the radius drawn to the point of tangency.
6.
FLASHCARD QUESTION
Front
If two chords intersect inside a circle, how do you find the lengths of the segments?
Back
The products of the lengths of the segments of each chord are equal: (a * b) = (c * d), where a and b are segments of one chord and c and d are segments of the other.
7.
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 is equal to half the difference of the measures of the intercepted arcs.
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