Chords

Front

What is a chord in a circle?

Back

A chord is a line segment with both endpoints on the circle.

Front

What is the relationship between congruent arcs and congruent chords in a circle?

Back

Congruent arcs have congruent chords.

Front

If a radius is drawn to a chord, what can be said about the angle it forms with the chord?

Back

The radius is perpendicular to the chord if it bisects the chord.

Front

What happens to the lengths of chords when they are equidistant from the center of the circle?

Back

Chords that are equidistant from the center of the circle are congruent.

Front

How do you find the length of a chord given the radius and the distance from the center to the chord?

Back

Use the formula: length of chord = 2 * √(r² - d²), where r is the radius and d is the distance from the center to the chord.

Front

What is the relationship between the diameter and the chords in a circle?

Back

The diameter is the longest chord in a circle.

Front

If two chords intersect inside a circle, how can you find the lengths of the segments?

Back

The products of the lengths of the segments of each chord are equal.

Front

What is the measure of an arc in relation to its corresponding central angle?

Back

The measure of an arc is equal to the measure of its corresponding central angle.

Front

What is the definition of a secant line?

Back

A secant line is a line that intersects a circle at two points.

Front

What is the relationship between a tangent line and a radius at the point of tangency?

Back

A tangent line is perpendicular to the radius at the point of tangency.