Angles formed by chords, secants and tangents
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the angle formed by two chords that intersect inside a circle?
Back
The 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
2.
FLASHCARD QUESTION
Front
Define the angle formed by a tangent and a chord through the point of contact.
Back
The angle is equal to half the measure of the intercepted arc.
Tags
CCSS.HSG.C.A.2
3.
FLASHCARD QUESTION
Front
What is the relationship between the angles formed by two secants that intersect outside a circle?
Back
The angle is equal to half the difference of the measures of the intercepted arcs.
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 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
What is the measure of an angle formed by a tangent and a secant that intersect at a point outside the circle?
Back
The measure of the angle is equal to half the difference of the measures of the intercepted arcs.
Tags
CCSS.HSG.C.A.2
6.
FLASHCARD QUESTION
Front
If arc AB measures 60° and arc AC measures 80°, what is the measure of angle A?
Back
Angle A = 1/2 (60° + 80°) = 70°.
Tags
CCSS.HSG.C.A.2
7.
FLASHCARD QUESTION
Front
How do you calculate the angle formed by two intersecting chords in a circle?
Back
Angle = 1/2 (arc1 + arc2), where arc1 and arc2 are the arcs intercepted by the angle.
Tags
CCSS.HSG.C.A.2
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