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Chord Properties

Author:Ms. McCann, Mr.Brownridge

Today we will start with some vocabulary and then introduce the properties of chords.

Some vocabulary will be a review and other terms will be new. Have your circle notes out so you can add to them!

Central Angle

Central Angle

What is the definition of a central angle? *hint: these are in your circle vocab notes already*

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Arc Measure

Arc Measure

What is the definition of an arc measure?

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How many degrees are in a circle?

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Inscribed Angle

Inscribed Angle

What is the definition of an inscribed angle?

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Intercepted Arc

Intercepted Arc

Based on the picture above what do you think the definition of intercepted arc is?

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In this lesson you will discover some properties of chords, arcs, and central angles

Chord Central Angles Conjecture: If two chords in a circle are congruent, then they determine two central angles that are ___________.

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In this lesson you will discover some properties of chords, arcs, and central angles

Chord Arcs Conjecture: If two chords in a circle are congruent, then their _________________ are congruent.

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Select all that apply
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  • D
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What is the value of w?

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Perpendicular to a Chord Conjecture: The perpendicular from the center of a circle to a chord is the ________ of the chord.

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Chord Distance to Center Conjecture: Two congruent chords in a circle are ____________ from the center of the circle.

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What is the value of z?

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What is the value of w?

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What is the value of x?

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What is the value of y?

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What's wrong with this picture?

What are the values of w, x, y & z?

the measure of arc AC is 130 degrees,

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