Circle Angle Relationships

This video tutorial covers angle relationships in circles, focusing on theorems related to intersecting chords, tangent secant interior and exterior angles. It provides examples to illustrate these concepts and concludes with a homework assignment to reinforce learning.

What is the measure of an angle whose vertex is on the circle?

• Half the measure of the intercepted arc

• Equal to the sum of the intercepted arcs

• Twice the measure of the intercepted arc

• Equal to the intercepted arc

Tags

CCSS.HSG.C.A.2

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

• Twice the measure of the intercepted arc

• Half the sum of the intercepted arcs

• Equal to the intercepted arc

• Half the difference of the intercepted arcs

Tags

CCSS.HSG.C.A.2

Given two intersecting chords with intercepted arcs measuring 90 degrees and 30 degrees, what is the measure of the angle formed?

• 60 degrees

• 30 degrees

• 75 degrees

• 45 degrees

Tags

CCSS.HSG.C.A.2

How do you find the measure of an angle formed by a tangent and a secant intersecting at the point of tangency?

• Half the measure of the intercepted arc

• Equal to the intercepted arc

• Twice the measure of the intercepted arc

• Half the sum of the intercepted arcs

Tags

CCSS.HSG.C.A.2

If a tangent and a secant intersect at the point of tangency and the intercepted arc measures 100 degrees, what is the measure of the angle formed?

• 25 degrees

• 100 degrees

• 50 degrees

• 75 degrees

Tags

CCSS.HSG.C.A.2

What is the measure of an exterior angle formed by two secants intersecting outside a circle?

• Half the difference of the intercepted arcs

• Equal to the intercepted arc

• Half the sum of the intercepted arcs

• Twice the measure of the intercepted arc

Tags

CCSS.HSG.C.A.2

Given two secants intersecting outside a circle with intercepted arcs measuring 238 degrees and 122 degrees, what is the measure of the exterior angle formed?

• 116 degrees

• 122 degrees

• 58 degrees

• 238 degrees

Tags

CCSS.HSG.C.A.2

What is the formula for finding the measure of an angle formed by two chords intersecting inside a circle?

• Half the sum of the intercepted arcs

• Half the difference of the intercepted arcs

• Twice the measure of the intercepted arc

• Equal to the intercepted arc

Tags

CCSS.HSG.C.A.2

How do you find the measure of an angle formed by a tangent and a chord intersecting at the point of tangency?

• Twice the measure of the intercepted arc

• Equal to the intercepted arc

• Half the measure of the intercepted arc

• Half the sum of the intercepted arcs

Tags

CCSS.HSG.C.A.2

What is the measure of an angle formed by two tangents intersecting outside a circle?

• Half the difference of the intercepted arcs

• Equal to the intercepted arc

• Half the sum of the intercepted arcs

• Twice the measure of the intercepted arc

Tags

CCSS.HSG.C.A.2