Angles in Circles

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of an angle in a circle?
Back
An angle in a circle is formed by two rays (sides of the angle) that share a common endpoint (the vertex) and are drawn from the center of the circle to the circumference.
2.
FLASHCARD QUESTION
Front
What is the measure of a central angle?
Back
A central angle is equal to the measure of the arc it intercepts.
Tags
CCSS.HSG.C.A.2
3.
FLASHCARD QUESTION
Front
What is an inscribed angle?
Back
An inscribed angle is formed by two chords in a circle which have a common endpoint. The vertex of the angle is on the circle, and the sides of the angle are determined by the chords.
4.
FLASHCARD QUESTION
Front
How do you calculate the measure of an inscribed angle?
Back
The measure of an inscribed angle is half the measure of the intercepted arc.
Tags
CCSS.HSG.C.A.2
5.
FLASHCARD QUESTION
Front
What is the relationship between angles formed by intersecting chords?
Back
The measure of an angle formed by two intersecting chords 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
6.
FLASHCARD QUESTION
Front
What is the relationship between angles 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
7.
FLASHCARD QUESTION
Front
What is the measure of the angle formed by two tangents drawn from a point outside the circle?
Back
The measure of the angle formed by two tangents drawn from a point outside the circle is equal to half the difference of the measures of the intercepted arcs.
Tags
CCSS.HSG.C.A.2
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