HG M7 Angles in Circles

Front

What is the definition of an angle in a circle?

Back

An angle in a circle is formed by two rays (sides of the angle) that share a common endpoint (the vertex) and are drawn from the center of the circle to the circumference.

Front

What is the measure of a central angle?

Back

The measure of a central angle is equal to the measure of the arc it intercepts.

Tags

CCSS.HSG.C.A.2

Front

What is an inscribed angle?

Back

An inscribed angle is formed by two chords in a circle which have a common endpoint. The vertex of the angle is on the circle, and the sides of the angle are determined by the chords.

Front

What is the relationship between an inscribed angle and the arc it intercepts?

Back

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

Tags

CCSS.HSG.C.A.2

Front

How do you find the measure of an angle formed by two tangents to a circle?

Back

The measure of the angle formed by two tangents to a circle is equal to half the difference of the measures of the intercepted arcs.

Tags

CCSS.HSG.C.A.2

Front

What is the formula for the sum of the angles in a quadrilateral?

Back

The sum of the angles in a quadrilateral is 360 degrees.

Tags

CCSS.HSG.C.A.3

Front

What is the relationship between opposite angles in an inscribed quadrilateral?

Back

The opposite angles in an inscribed quadrilateral are supplementary, meaning they add up to 180 degrees.

Tags

CCSS.HSG.C.A.3

Front

How do you calculate the measure of an angle formed by a tangent and a chord?

Back

The measure of the angle formed by a tangent and a chord through the point of contact is equal to half the measure of the intercepted arc.

Tags

CCSS.HSG.C.A.2

Front

What is the definition of a tangent to a circle?

Back

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

Front

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

Back

The radius drawn to the point of contact is perpendicular to the tangent line.