Geometry Mid-Chapter Circles

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.

• Angle in semicircle.

• angles on a straight line.

• True

• False

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

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?

Line ST is a tangent to the circle at point P. What is the measure of angle (x + y)?

• 79

• 80

• 86

• 90