What is the Intersecting Chord Theorem?
Intersecting Chord Theorem (Chords, Angles, Arcs)

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Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The Intersecting Chord Theorem states that if two chords intersect inside a circle, the products of the lengths of the segments of each chord are equal.
2.
FLASHCARD QUESTION
Front
If two chords AB and CD intersect at point E, how can you express the relationship between the segments?
Back
If AE and EB are segments of chord AB, and CE and ED are segments of chord CD, then AE × EB = CE × ED.
3.
FLASHCARD QUESTION
Front
What is the measure of an angle formed by two intersecting chords?
Back
The measure of the angle formed by two intersecting chords is equal to half the sum of the measures of the arcs intercepted by the angle.
4.
FLASHCARD QUESTION
Front
How do you find the measure of an angle formed by two intersecting chords?
Back
To find the measure of the angle, add the measures of the two arcs intercepted by the angle and divide by 2.
5.
FLASHCARD QUESTION
Front
What is the formula to find the measure of an angle formed by two intersecting chords?
Back
m∠ = (mArc1 + mArc2) / 2.
6.
FLASHCARD QUESTION
Front
If the arcs intercepted by an angle measure 80° and 40°, what is the measure of the angle?
Back
m∠ = (80° + 40°) / 2 = 60°.
7.
FLASHCARD QUESTION
Front
What is the relationship between the angles formed by two intersecting chords?
Back
The angles formed by two intersecting chords are vertical angles and are equal to each other.
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