Segment Measurements with Tangents, Secants, and Chords

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 definition of a secant in relation to a circle?

Back

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

Front

What is the definition of a chord in a circle?

Back

A chord is a line segment whose endpoints both lie on the circle.

Front

How do you calculate the perimeter of a polygon?

Back

The perimeter of a polygon is calculated by adding the lengths of all its sides.

Tags

CCSS.3.MD.D.8

Front

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

Back

The angles formed by two intersecting chords are related such that 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 formula for the length of a chord in a circle?

Back

The length of a chord can be calculated using the formula: L = 2 * r * sin(θ/2), where r is the radius and θ is the central angle in radians.

Tags

CCSS.HSG.C.A.2

Front

What is the power of a point theorem?

Back

The power of a point theorem states that for a point outside a circle, the product of the lengths of the segments of any secant line drawn from that point to the circle is equal to the square of the length of the tangent segment drawn from that point to the circle.

Tags

CCSS.HSG.C.A.2

Front

How do you solve for x in a geometric application problem?

Back

To solve for x, set up an equation based on the relationships and properties of the geometric figures involved, and then isolate x.

Front

What is the significance of the central angle in a circle?

Back

The central angle is significant because it determines the size of the arc it intercepts and the length of the chord that subtends it.

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between the lengths of tangents drawn from a point outside a circle?

Back

The lengths of tangents drawn from a point outside a circle to the circle are equal.

Tags

CCSS.HSG.C.A.2