Intersecting chords, secants and tangents

Front

What is the definition of a chord?

Back

A line segment whose endpoints are on a circle.

Front

What is the definition of a secant?

Back

A line that intersects a circle in two points.

Front

What is the definition of a tangent?

Back

A line that touches a circle at exactly one point.

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 intercepted by the angle and its vertical angle.

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between the angles formed by intersecting chords?

Back

The angle formed by two intersecting chords is equal to half the sum of the measures of the arcs intercepted by the angle.

Tags

CCSS.HSG.C.A.2

Front

How do you find the length of a chord given the radius and the distance from the center to the chord?

Back

Use the formula: length = 2 * sqrt(r^2 - d^2), where r is the radius and d is the distance from the center to the chord.

Tags

CCSS.HSG.C.A.2

Front

What is the angle formed by a tangent and a chord through the point of contact?

Back

The angle is equal to the measure of the intercepted arc.

Tags

CCSS.HSG.C.A.2

Front

If a secant and a tangent intersect at a point outside the circle, how do you find the angle formed?

Back

The angle 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 power of a point theorem?

Back

If a point P is outside a circle, then the power of point P is equal to the square of the length of the tangent segment from P to the circle.

Front

How do you find the measure of an angle formed by two secants that intersect outside the circle?

Back

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

Tags

CCSS.HSG.C.A.2