Angle Relationships in Circles
Flashcard
•
Mathematics
•
9th - 11th 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 and does not cross the circle.
2.
FLASHCARD QUESTION
Front
What is the relationship between the angle formed by a tangent and a radius at the point of tangency?
Back
The angle formed between a tangent line and a radius drawn to the point of tangency is always 90 degrees.
Tags
CCSS.HSG.SRT.C.8
3.
FLASHCARD QUESTION
Front
What is the measure of an inscribed angle in a circle?
Back
An inscribed angle is half the measure of the intercepted arc.
Tags
CCSS.HSG.C.A.2
4.
FLASHCARD QUESTION
Front
If two chords intersect inside a circle, how do you find the measure of the angles formed?
Back
The measure of each angle formed is equal to half the sum of the measures of the arcs intercepted by the angle and its vertical angle.
Tags
CCSS.HSG.C.A.2
5.
FLASHCARD QUESTION
Front
What is the relationship between the angles formed by two secants that intersect outside a circle?
Back
The measure of the angle formed is equal to half the difference of the measures of the intercepted arcs.
Tags
CCSS.HSG.C.A.2
6.
FLASHCARD QUESTION
Front
If a circle has a central angle of 80 degrees, what is the measure of the arc it intercepts?
Back
The measure of the intercepted arc is equal to the measure of the central angle, so it is also 80 degrees.
Tags
CCSS.HSG.C.A.2
7.
FLASHCARD QUESTION
Front
What is the formula for finding the measure of an angle formed by a tangent and a chord?
Back
The measure of the angle formed by a tangent and a chord through the point of contact is equal to half the measure of the intercepted arc.
Tags
CCSS.HSG.C.A.2
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