Flashcard 7.2 Review

Front

What is a tangent line to a circle?

Back

A tangent line to a circle is a straight line that touches the circle at exactly one point.

Front

If two line segments are tangent to a circle from the same external point, what can be said about their lengths?

Back

The lengths of the two tangent segments are equal.

Front

What is the relationship between the radius of a circle and a tangent line at the point of tangency?

Back

The radius drawn to the point of tangency is perpendicular to the tangent line.

Front

How do you find the measure of an angle formed by two tangent lines from a point outside the circle?

Back

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

Front

If line segments AB and AD are tangent to circle C, what can be inferred about the segments?

Back

AB = AD, since they are both tangent to the same circle from point A.

Front

What is the formula for the length of a tangent segment from a point outside the circle to the circle?

Back

The length of the tangent segment can be found using the Pythagorean theorem: length = √(distance from point to center² - radius²).

Front

What is the significance of the point of tangency in relation to the circle?

Back

The point of tangency is the point where the tangent line touches the circle and is the only point of contact.

Front

How do you determine the value of x in tangent problems?

Back

Use the properties of tangents, such as equal lengths from a point to the circle, and apply algebraic methods to solve for x.

Front

What is the measure of angle TUV if line segments UT and UV are tangent to the circle?

Back

Angle TUV is formed by the two tangent lines and can be calculated using the properties of tangents.

Front

If two tangents are drawn from a point outside the circle, how do you find the angle between them?

Back

The angle between the two tangents can be found using the formula: angle = 1/2 (arc1 - arc2).