12/6/24 Intersecting chords, secants and tangents

Front

What is the definition of a tangent in relation to a circle?

Back

A tangent is a line that touches a circle at exactly one point, known as the point of tangency.

Front

What is the relationship between the angles formed by intersecting chords in a circle?

Back

The measure of the angle formed by two intersecting chords 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

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

Back

The measure of an arc can be found using the formula: Arc Measure = (Central Angle) in degrees.

Tags

CCSS.HSG.C.B.5

Front

What is the formula for finding 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 of the circle and the square of the radius: Length = √(d² - r²).

Tags

CCSS.HSG.C.A.2

Front

What is the Inscribed Angle Theorem?

Back

The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of the intercepted arc.

Tags

CCSS.HSG.C.A.2

Front

What is the definition of secants in relation to a circle?

Back

Secants are lines that intersect a circle at two points.

Front

How do you calculate the angle formed by two secants that intersect outside a circle?

Back

The angle formed by two secants that intersect outside a circle is equal to half the difference of the measures of the intercepted arcs: Angle = 1/2 (Arc1 - Arc2).

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between the lengths of segments formed by intersecting chords?

Back

If two chords intersect inside a circle, the products of the lengths of the segments of each chord are equal: a * b = c * d.

Tags

CCSS.HSG.C.A.2

Front

What is the definition of intersecting chords?

Back

Intersecting chords are two chords that cross each other inside a circle, creating segments.

Front

How do you find the measure of an angle formed by two intersecting chords?

Back

The measure of 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