Arcs and Angles formed by Chords

Front

What is a chord in a circle?

Back

A line segment whose endpoints are on a circle.

Front

What is the measure of an angle formed by two chords that intersect inside a circle?

Back

The measure of the angle is equal to half the sum of the measures of the arcs intercepted by the angle.

Front

Find the value of x if the angles formed by two intersecting chords are 45° and x.

Back

x = 45°.

Front

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

Back

The angles are equal to half the sum of the measures of the arcs they intercept.

Front

Find the measure of angle ABD if the intercepted arcs are 100° and 40°.

Back

Angle ABD = 70°.

Front

What is the measure of an angle formed by a tangent and a chord?

Back

The measure of the angle is equal to half the measure of the intercepted arc.

Front

Find the value of x if angle ACB = 34° and angle ACD = x.

Back

x = 34°.

Front

What is the definition of an arc in a circle?

Back

A part of the circumference of a circle.

Front

Find the measure of angle ABD if the intercepted arcs are 80° and 20°.

Back

Angle ABD = 50°.

Front

What is the relationship between the lengths of chords in a circle?

Back

The longer chord subtends the larger angle at the center of the circle.