Circles: Congruent Chords & Arcs

What is the central angle of a circle?

• An angle whose vertex is at the center of the circle and whose sides intersect the circle.

• An angle formed by two radii of the circle.

• An angle that measures 90 degrees.

• An angle that is always greater than 180 degrees.

If two chords are congruent, what can be said about their distances from the center of the circle?

• Congruent chords are equidistant from the center of the circle.

• Congruent chords are at different distances from the center of the circle.

• Congruent chords are always parallel to each other.

• Congruent chords have the same length but different angles.

What is the relationship between congruent chords and their arcs?

• Congruent chords in a circle subtend congruent arcs.

• Congruent chords are always equal in length.

• Congruent arcs are always equal in length.

• Congruent chords do not affect the arcs they subtend.

How do you determine if two chords are congruent?

• Two chords are congruent if they are the same length.

• Two chords are congruent if they are parallel.

• Two chords are congruent if they subtend equal angles at the center.

• Two chords are congruent if they are equidistant from the center.

If two arcs are congruent, what can be said about the chords that subtend them?

• The chords that subtend congruent arcs are also congruent.

• The chords that subtend congruent arcs are unequal.

• The chords that subtend congruent arcs are perpendicular to each other.

• The chords that subtend congruent arcs are of different lengths.

If the length of a chord is 12 cm and the radius is 10 cm, what is the distance from the center to the chord?

• 6 cm

• 8 cm

• 10 cm

• 12 cm

If the radius of a circle is 5 cm, what is the maximum length of a chord?

• 8 cm

• 9 cm

• 10 cm

• 12 cm

What is the relationship between the angles formed by two intersecting chords?

• The measure of the angle is equal to the sum of the measures of the arcs intercepted by the angle.

• The measure of the angle is equal to half the sum of the measures of the arcs intercepted by the angle.

• The measure of the angle is equal to the difference of the measures of the arcs intercepted by the angle.

• The measure of the angle is equal to the average of the measures of the arcs intercepted by the angle.

What is a tangent line?

• A line that intersects a circle at two points.

• A line that touches a circle at exactly one point.

• A line that is parallel to the radius of a circle.

• A line that passes through the center of a circle.

What is the significance of the perpendicular from the center of a circle to a chord?

• It creates a right angle with the chord.

• It bisects the chord.

• It is equal to the radius of the circle.

• It divides the circle into two equal halves.