Intersecting Chords: Arc and Angle Measures

Front

What is the measure of an angle formed by two intersecting chords in a circle?

Back

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

Tags

CCSS.HSG.C.A.2

Front

If two chords intersect inside a circle, how do you find the measure of the angles formed?

Back

The measure of each angle is equal to half the sum of the measures of the arcs that the angle intercepts.

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between the angles formed by intersecting chords and the arcs they intercept?

Back

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

Tags

CCSS.HSG.C.A.2

Front

If the measures of two arcs are 80º and 120º, what is the measure of the angle formed by the intersecting chords?

Back

The angle measure is (80º + 120º) / 2 = 100º.

Tags

CCSS.HSG.C.A.2

Front

What is the formula to calculate the angle formed by two intersecting chords?

Back

Angle = 1/2 (Arc1 + Arc2), where Arc1 and Arc2 are the measures of the intercepted arcs.

Tags

CCSS.HSG.C.A.2

Front

If one arc measures 50º and the other measures 70º, what is the angle formed by the intersecting chords?

Back

The angle measure is (50º + 70º) / 2 = 60º.

Tags

CCSS.HSG.C.A.2

Front

What happens to the angle measure if the intercepted arcs are equal?

Back

If the intercepted arcs are equal, the angle formed will be equal to half the measure of either arc.

Tags

CCSS.HSG.C.A.2

Front

How do you find the measure of an angle if you know the measures of the arcs it intercepts?

Back

Add the measures of the arcs and divide by 2.

Tags

CCSS.HSG.C.A.2

Front

If two intersecting chords create an angle of 90º, what can you say about the intercepted arcs?

Back

The sum of the measures of the intercepted arcs is 180º.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of an angle formed by two intersecting chords if the intercepted arcs are 30º and 150º?

Back

The angle measure is (30º + 150º) / 2 = 90º.

Tags

CCSS.HSG.C.A.2