Circles - Central Angles, Inscribed Angles, and Inscribed Quads

Front

What is an inscribed quadrilateral in a circle?

Back

A quadrilateral whose four vertices all lie on the circumference of the circle.

Front

What is the relationship between the measure of an inscribed angle and the measure of its intercepted arc?

Back

The measure of an inscribed angle is half the measure of its intercepted arc.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of an inscribed angle that intercepts a semicircle?

Back

90 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of a central angle that intercepts a semicircle?

Back

180 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the sum of the opposite angles in an inscribed quadrilateral?

Back

180 degrees.

Tags

CCSS.HSG.C.A.3

Front

Define a central angle in a circle.

Back

An angle whose vertex is at the center of the circle and whose sides intersect the circle.

Tags

CCSS.4.G.A.1

Front

What is the measure of a central angle that intercepts an arc of 60 degrees?

Back

60 degrees.

Tags

CCSS.HSG.C.A.2

Front

How do you find the measure of an inscribed angle?

Back

The measure of an inscribed angle is half the measure of the arc it intercepts.

Tags

CCSS.HSG.C.A.2

Front

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

Back

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

Front

What is the measure of an inscribed angle that intercepts an arc of 120 degrees?

Back

60 degrees.

Tags

CCSS.HSG.C.A.2