Apply Properties of Chords Geometry

What is the value of x with a reason?

• The angle at the center is equal to twice the angle at the circumference.

• The angle at the center is equal to the angle at the circumference.

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CCSS.HSG.C.A.2

• Angle in semicircle.

• angles on a straight line.

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CCSS.HSG.C.A.2

• Angle in the same segment.

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CCSS.HSG.C.A.2

• True

• False

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CCSS.HSG.C.A.2

• 4

• 8

• 10

• 6

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CCSS.HSG.C.A.2

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CCSS.HSG.C.A.2

Choose the correct image to match the description: The line segment joining the center of a circle to the midpoint of the chord is perpendicular to the chord.

• 
• 
• 
• 

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CCSS.HSG.C.A.2

Choose the correct description for the image above:

• If AB is a diameter of the circle with centre O, then angle P will not be a right angle.

• If AB is a radius of the circle with centre O, then angle P will be a right angle.

• If AB is a diameter of the circle with centre O, then angle P will be a right angle.

• None of the above

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CCSS.HSG.C.A.2

True or False? The exterior angle of a cyclic quad is equal to the sum of the interior opposite angles.

• True

• False

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CCSS.HSG.C.A.3

Find x.

• 4.4
• 8.3
• 9.4
• 8.8

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CCSS.HSG.C.A.2