Calculating Special Segments in Circles

What happens when two chords intersect inside a circle?

• The sum of their lengths is equal.

• The product of their segments is equal.

• The quotient of their segments is equal.

• The difference of their segments is equal.

If two chords intersect and one segment is 5 and the other is 8, what could be the product of the segments on the other chord?

• 40

• 13

• 20

• Cannot be determined with given information.

How do you solve for an unknown segment length when two chords intersect inside a circle?

• By subtracting the lengths of the segments on one chord from the other.

• By multiplying the segments of one chord and setting it equal to the product of the segments on the other chord.

• By adding the lengths of the segments on one chord.

• By dividing the product of one chord's segments by the length of the other chord.

What is true about the segments of two intersecting secants outside a circle?

• The product of the external segment and the total length of each secant is equal.

• The quotient of the external segments and the total lengths is equal.

• The sum of the external segments is equal.

• The difference between the external segments and the total lengths is equal.

When two secants intersect outside of a circle, how do you determine the length of one of the secants?

• It's not possible to determine.

• By subtracting the external part from the total length.

• By multiplying the external part of one secant by the total length of the other.

• By adding the lengths of both secants.

What is the correct approach to solve for an unknown length when dealing with secants intersecting outside a circle?

• Multiply the external part by the total length and set it equal to the other secant's external part times its total length.

• Add the lengths of the external parts and set it equal to the sum of the total lengths.

• Subtract the external part from the total length for both secants and set them equal.

• Divide the total length by the external part for both secants and compare.

How is a tangent to a circle defined?

• A line that passes through the center of the circle.

• A line that touches the circle at exactly one point.

• A line that intersects the circle at no points.

• A line that intersects the circle at two points.

What is the result of a tangent squared in relation to a circle?

• Equal to the radius squared.

• Equal to the diameter squared.

• Equal to the external segment times the total length.

• Equal to the circumference of the circle.

What is the relationship between a tangent and the radius at the point of contact?

• The tangent bisects the radius.

• The tangent is perpendicular to the radius.

• The tangent is parallel to the radius.

• The tangent and radius are congruent.

In a circle, if a chord is perpendicular to a radius, what does it imply about the chord?

• The chord becomes a diameter.

• The chord is bisected by the radius.

• The chord and the radius are equal in length.

• The chord is the longest possible chord in the circle.