Circle Theorems Quiz

According to the Perpendicular from Center to Chord Theorem, what does the perpendicular line drawn from the center of a circle to any chord do?

• Creates a right angle with the chord

• Extends the chord

• Bisects the chord

• Divides the chord into three equal parts

What does the Center to Chord Midpoint Theorem state about the line joining the center of a circle to the midpoint of any non-diameter chord?

• It is parallel to the chord

• It extends the chord

• It bisects the chord

• It is perpendicular to the chord

According to the Perpendicular Bisector Chord to Center Theorem, where does the perpendicular bisector of a chord of a circle pass through?

• Endpoints of the chord

• Midpoint of the chord

• Center of the circle

• Tangent to the circle

What does the Perpendicular Bisector Chord to Central Angle Theorem state about the perpendicular bisector of a chord?

• It is parallel to the chord

• It creates a right angle with the chord

• It extends the chord

• It bisects the central angle

According to the Central Angle Bisector Theorem, what is the bisector of a central angle subtended by a chord?

• Perpendicular bisector of the chord

• Parallel to the chord

• Midpoint of the chord

• Tangent to the circle

In congruent circles, when are chords congruent according to the Distance-Chord Theorem?

• Their endpoints coincide

• Their midpoints coincide

• Their lengths are equal

• Their distances from the center(s) are equal

What does the Chord-Arc Congruence Theorem state about minor arcs in congruent circles?

• They are congruent only if their midpoints coincide

• They are congruent only if their corresponding chords are congruent

• They are congruent only if their endpoints coincide

• They are congruent only if their lengths are equal

According to the Perpendicular from Center to Chord Theorem, what does the perpendicular line drawn from the center of a circle to any chord do?

• Extends the chord

• Creates a right angle with the chord

• Divides the chord into three equal parts

• Bisects the chord

What does the Center to Chord Midpoint Theorem state about the line joining the center of a circle to the midpoint of any non-diameter chord?

• It bisects the chord

• It is parallel to the chord

• It is perpendicular to the chord

• It extends the chord

According to the Perpendicular Bisector Chord to Center Theorem, where does the perpendicular bisector of a chord of a circle pass through?

• Midpoint of the chord

• Center of the circle

• Tangent to the circle

• Endpoints of the chord