Chord Of A Circle - Math Warehouse

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Chord of a Circle

Intersecting Chords, Their Arc and Angles

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What is a Chord?

Answer: : A chord is a line segment that joins any two points on a circle Diagram 1

In other words, a chord is basically any line segment starting one one side of a circle, like point A in diagram 2 below, and ending on another side of the circle, like point B. Points A and B are the endpoints of chord AB.

Chord AB divides the circle into two distinct arcs from A directly to B and then the longer part: from A through C and to B. Can you categorize these two arcs as the minor and major arc?

Diagram 2

Theorems involving the chord of a circle

Product of segments theorem

Intersecting Chords Angles & Arcs of Intersecting Chords

Practice Problems

Problem 1

In the diagram on the right, identify: the chord, minor arc, the major arc, the chord's arc.

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Problem 2

In the diagram on the right, identify: the chord, minor arc, the major arc, the chord's arc.

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Problem 3

In the diagram on the right, identify: the chord, minor arc, the major arc, the chord's arc.

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Problem 4

What is the relationship between the lengths of chord YZ and AB?

Show Answer The two chords are congruent! Free Math Printable Worksheets Circles Worksheets and Activities for Math Teachers

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