Arcs, Inscribed and Central Angles

Flashcard
•
Mathematics
•
10th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the measure of arc AB if it corresponds to a central angle of 68 degrees?
Back
68 degrees
2.
FLASHCARD QUESTION
Front
Define a central angle.
Back
A central angle is an angle whose vertex is at the center of a circle and whose sides (rays) extend to the circumference.
Tags
CCSS.HSG.C.A.2
3.
FLASHCARD QUESTION
Front
Define an inscribed angle.
Back
An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. The vertex of the angle is on the circle.
4.
FLASHCARD QUESTION
Front
If two inscribed angles intercept the same arc, what can be said about their measures?
Back
They are congruent.
Tags
CCSS.HSG.C.A.2
5.
FLASHCARD QUESTION
Front
What is the relationship between a central angle and the arc it intercepts?
Back
The measure of a central angle is equal to the measure of the arc it intercepts.
Tags
CCSS.HSG.C.B.5
6.
FLASHCARD QUESTION
Front
If the measure of arc AB is 34 degrees, what is the measure of the inscribed angle that intercepts the same arc?
Back
17 degrees (half of the arc measure).
Tags
CCSS.HSG.C.A.2
7.
FLASHCARD QUESTION
Front
What is the formula to find 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
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