Intersecting Chords: Arc and Angle Measures
Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the measure of an angle formed by two intersecting chords in a circle?
Back
The measure of the angle is equal to half the sum of the measures of the arcs intercepted by the angle.
Tags
CCSS.HSG.C.A.2
2.
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 is equal to half the sum of the measures of the arcs that the angle intercepts.
Tags
CCSS.HSG.C.A.2
3.
FLASHCARD QUESTION
Front
What is the relationship between the angles formed by intersecting chords and the arcs they intercept?
Back
The angle formed is equal to half the sum of the measures of the intercepted arcs.
Tags
CCSS.HSG.C.A.2
4.
FLASHCARD QUESTION
Front
If the measures of two arcs are 80º and 120º, what is the measure of the angle formed by the intersecting chords?
Back
The angle measure is (80º + 120º) / 2 = 100º.
Tags
CCSS.HSG.C.A.2
5.
FLASHCARD QUESTION
Front
What is the formula to calculate the angle formed by two intersecting chords?
Back
Angle = 1/2 (Arc1 + Arc2), where Arc1 and Arc2 are the measures of the intercepted arcs.
Tags
CCSS.HSG.C.A.2
6.
FLASHCARD QUESTION
Front
If one arc measures 50º and the other measures 70º, what is the angle formed by the intersecting chords?
Back
The angle measure is (50º + 70º) / 2 = 60º.
Tags
CCSS.HSG.C.A.2
7.
FLASHCARD QUESTION
Front
What happens to the angle measure if the intercepted arcs are equal?
Back
If the intercepted arcs are equal, the angle formed will be equal to half the measure of either arc.
Tags
CCSS.HSG.C.A.2
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