Chapter 6 Circles Discovering Geometry

If a line is drawn from the center of a circle to the chord and it bisects the chord, what will the relationship between this line and the chord be?

• They will be perpendicular

• They will be parallel

• They will be equal

• The chord will be bisected

The angle at the centre of a circle is ... the size of the angle at the circumference

• equal to

• twice

• three times

• four times

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

What best describes segment AB?

• chord

• secant

• tangent

• diameter

• Angle in semicircle.

• angles on a straight line.

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

• True

• False

Determine y.

• 30

• 60

• 90

• 180

Knowing that line AF is a tangent, C is the center of the circle, and angle F is 29.0 degrees, what is the measure of angle ECD?