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

What is a diameter?

Back

A diameter is a special type of chord that passes through the center of the circle and divides it into two equal halves.

Front

If two chords are congruent, what can be said about their distances from the center of the circle?

Back

If two chords are congruent, they are equidistant from the center of the circle.

Front

What is an arc in a circle?

Back

An arc is a portion of the circumference of a circle.

Tags

CCSS.HSG.C.B.5

Front

How do you find the length of an arc?

Back

The length of an arc can be found using the formula: (θ/360) * 2πr, where θ is the central angle in degrees and r is the radius.

Tags

CCSS.HSG.C.B.5

Front

What is the relationship between the lengths of arcs subtended by congruent chords?

Back

Arcs subtended by congruent chords are also congruent.

Tags

CCSS.HSG.C.B.5

Front

What is a secant line?

Back

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

Front

What is a tangent line?

Back

A tangent line is a line that touches a circle at exactly one point.