Quiz on Arcs and Chords

What does Theorem 10.2 state about congruent arcs and chords in a circle?

• Congruent arcs imply congruent chords.

• Congruent chords have no relation to arcs.

• Congruent arcs imply different chords.

• Congruent chords imply different arcs.

If two chords in a circle are congruent, what can be said about their corresponding arcs?

• The arcs are not related.

• The arcs are perpendicular.

• The arcs are congruent.

• The arcs are different.

In the example with circles A and B, what is the length of chord WX if 7x - 2 = 5x + 6?

• 28

• 30

• 26

• 24

What happens when a diameter is perpendicular to a chord in a circle?

• It doubles the chord length.

• It has no effect on the chord.

• It bisects the chord and the arc.

• It halves the arc length.

If a diameter bisects a chord, what can be said about the arcs it creates?

• The arcs are unrelated.

• The arcs are perpendicular.

• The arcs are different.

• The arcs are congruent.

In the example with diameter QS and chord RT, what is the length of segment UV?

• 5√6

• 4√6

• 3√6

• 2√6

What is the relationship between two congruent chords in a circle?

• They are parallel to each other.

• They are perpendicular to each other.

• They are at different distances from the center.

• They are equidistant from the center.

In the example with chords EF and GH, what is the value of x if 4x - 3 = 2x + 3?

• 2

• 3

• 5

• 4

If two chords are equidistant from the center of a circle, what can be said about them?

• They are different.

• They are perpendicular.

• They are unrelated.

• They are congruent.

What is the length of PQ if 4x - 3 = 2x + 3 and x = 3?

• 6

• 15

• 9

• 12