Apply Chord Properties

In the same circle, or two congruent circles, two chords are congruent if and only if they are _________ from the center.

If the measure of arc BD is $$125^{\text{°}}$$ , what is the measure of arc CD?

If a diameter is perpendicular to a chord, what can be said about the chord?

What is the relationship between the lengths of two chords in a circle and their distances from the center?

If $$y + 4 = 2y + 1$$ , what is the value of y?

What is the formula for the length of a chord in a circle given the radius and the angle subtended at the center?

If two chords intersect inside a circle, what is the relationship between the segments of the chords?

What is the measure of an inscribed angle in relation to the arc it intercepts?

If the measure of arc AB is $$x$$ , what is the measure of the central angle subtended by arc AB?

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