Circle Theorems

Flashcard
•
Mathematics
•
9th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of a circle theorem?
Back
Circle theorems are statements or propositions that describe the relationships between angles, arcs, and chords in a circle.
2.
FLASHCARD QUESTION
Front
What is the measure of an arc in a circle?
Back
The measure of an arc is the angle subtended by the arc at the center of the circle, measured in degrees.
3.
FLASHCARD QUESTION
Front
How do you find the measure of an arc NM if the central angle is 186 degrees?
Back
The measure of arc NM is equal to the measure of the central angle, so arc NM measures 186 degrees.
4.
FLASHCARD QUESTION
Front
What is the relationship between angles formed by intersecting chords in a circle?
Back
The angle formed by two intersecting chords is equal to half the sum of the measures of the arcs intercepted by the angle.
Tags
CCSS.HSG.C.A.2
5.
FLASHCARD QUESTION
Front
How do you calculate the value of x in circle theorems?
Back
To calculate the value of x, you often set up equations based on the relationships defined by circle theorems and solve for x.
Tags
CCSS.HSG.C.A.2
6.
FLASHCARD QUESTION
Front
What is the angle subtended by an arc at the center of the circle?
Back
The angle subtended by an arc at the center of the circle is equal to the measure of the arc.
Tags
CCSS.HSG.C.A.2
7.
FLASHCARD QUESTION
Front
What is the formula for finding the measure of an angle formed by two tangents to a circle?
Back
The angle formed by two tangents to a circle is equal to half the difference of the measures of the intercepted arcs.
Tags
CCSS.HSG.C.A.2
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