INSCRIBED ANGLES IN CIRCLES AND QUADRILATERALS Practice

Front

What is an inscribed angle?

Back

An inscribed angle is an angle whose vertex is on a circle and whose sides are chords of the circle.

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

Define a chord in a circle.

Back

A chord is a segment with both endpoints on the 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 half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

Tags

CCSS.HSG.C.A.2

Front

How do you find the measure of an arc in a circle?

Back

The measure of an arc can be found by using the inscribed angles that intercept it.

Tags

CCSS.HSG.C.B.5

Front

What is the formula for the measure of an inscribed angle?

Back

The measure of an inscribed angle = 1/2 * (measure of the intercepted arc).

Tags

CCSS.HSG.C.A.2

Front

If two inscribed angles intercept the same arc, what can be said about their measures?

Back

If two inscribed angles intercept the same arc, they are congruent.

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between opposite angles in a cyclic quadrilateral?

Back

The opposite angles of a cyclic quadrilateral are supplementary (they add up to 180 degrees).

Tags

CCSS.HSG.C.A.2

Front

What is a cyclic quadrilateral?

Back

A cyclic quadrilateral is a quadrilateral whose vertices all lie on a single circle.

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