What is the relationship of a secant and a tangent intersecting in the exterior of a circle to its intercepted arcs?

A secant is a line that intersects a circle in exactly two points. When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

Which of the following is true if a secant and a tangent intersect in the exterior of the circle?

If a secant and a tangent of a circle intersect in a point outside the circle, then the area of the rectangle formed by the two line segments corresponding to the secant is equal to the area of the area of the square formed by the line segment corresponding to the other tangent.

How are the tangent secant and chord segments in a circle related?

A line will meet a circle at no more than two points. We call a line a secant if it intersects twice, and a tangent if it intersects once (just touching at a single point). Chords are segments connecting two points on a circle, so chords become secants when extended.

What segment is a part of a secant segment that is outside a circle?

tangent segment
Theorem 85: If a tangent segment and a secant segment intersect outside a circle, then the square of the measure of the tangent segment equals the product of the measures of the secant segment and its external portion.

When two secant lines intersect each other outside a circle the products of their segments are equal?

If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.

What is the relationship between secant and tangent lines?

A secant line connects two points on a curve. The slope of a secant line is the average rate of change between two points on a curve. A tangent line touches one point. The slope of a tangent line is the instantaneous rate of change at a single point on a curve.

How are the segments formed by the intersection of two secant segments at an external point related?

How are the segments formed by the intersection of two chords related a secant and a tangent at an external point related?

If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

How are the segments formed by the intersection of two chords related?

When two chords intersect each other inside a circle, the products of their segments are equal. One chord is cut into two line segments A and B. The other into the segments C and D. This theorem states that A×B is always equal to C×D no matter where the chords are.

How do you find the secant tangent intersection outside of a circle?

Tangents Secant Segments Theorem If a tangent and a secant are drawn from a common point outside the circle (and the segments are labeled like the picture below), then a2=b(b+c).