Topic 73 Chord Theorems

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 a diameter and a chord in a circle?

Back

A diameter is the longest chord in a circle and is perpendicular to any chord that it bisects.

Front

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

Back

The diameter bisects the chord into two equal segments.

Tags

CCSS.HSG.C.A.2

Front

What is the formula to find the length of a chord given the radius and the distance from the center to the chord?

Back

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

Tags

CCSS.HSG.C.A.2

Front

What does it mean if a chord is bisected?

Back

It means that the chord is divided into two equal parts.

Front

If a chord is 8 units long, what is the length of each segment if it is bisected?

Back

Each segment is 4 units long.

Front

What is the definition of a tangent line in relation to a circle?

Back

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

Front

How can you determine if a line is a tangent to a circle?

Back

If the line is perpendicular to the radius at the point of contact, it is a tangent.

Front

What is the relationship between a chord and a tangent at the point of contact?

Back

A tangent is perpendicular to the radius drawn to the point of contact on the circle.

Front

What is the significance of the angle subtended by a chord at the center of the circle?

Back

The angle subtended by a chord at the center is twice the angle subtended at any point on the remaining part of the circle.

Tags

CCSS.HSG.C.A.2