12/6/24 Intersecting chords, secants and tangents

Front

What is the measure of arc TS if it is given as 111 degrees?

Back

The measure of arc TS is 111 degrees.

Front

What do you call a line that touches a circle at exactly one point?

Back

A tangent.

Front

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

Back

The measure of the angle formed 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

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

Back

The measure of 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 to find the length of a tangent segment from a point outside the circle?

Back

The length of the tangent segment is equal to the square root of the difference between the square of the distance from the point to the center and the square of the radius.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of an inscribed angle?

Back

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

Tags

CCSS.HSG.C.A.2

Front

If two chords intersect inside a circle, how do you find the lengths of the segments?

Back

The products of the lengths of the segments of each chord are equal.

Tags

CCSS.HSG.C.A.2

Front

What is the definition of a secant?

Back

A secant is a line that intersects a circle at two points.

Front

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

Back

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

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between the angles formed by two intersecting secants?

Back

The measure of the angle formed is equal to half the difference of the measures of the arcs intercepted by the secants.

Tags

CCSS.HSG.C.A.2