Circles: Congruent Chords & Arcs

Front

What is a chord in a circle?

Back

A chord is a line segment whose endpoints lie on the circle.

Front

What does it mean for chords to be congruent?

Back

Congruent chords are chords that have the same length.

Front

What is the relationship between the distance of a chord from the center of a circle and its length?

Back

Chords that are the same distance from the center of a circle are congruent to each other.

Tags

CCSS.HSG.C.A.2

Front

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

Back

The arcs subtended by congruent chords are also congruent.

Tags

CCSS.8.G.A.2

Front

What is the measure of an arc if the corresponding chord is congruent to another chord with a known arc measure?

Back

The measure of the arc is the same as the measure of the arc corresponding to the congruent chord.

Tags

CCSS.HSG.C.A.2

Front

What is a diameter in a circle?

Back

A diameter is a chord that passes through the center of the circle and is the longest chord.

Tags

CCSS.HSG.C.A.2

Front

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

Back

Use the formula: length = 2 * sqrt(r^2 - d^2), where r is the radius and d is the distance from the center.

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between the angles subtended by arcs at the center and at the circumference?

Back

The angle subtended at the center is twice the angle subtended at the circumference.

Tags

CCSS.HSG.C.A.2

Front

If arc AB measures 54°, what is the measure of the angle subtended at the center by arc AB?

Back

The angle subtended at the center is 54°.

Front

What is a secant line in relation to a circle?

Back

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