12/6/24 Intersecting chords, secants and tangents

Front

What is the measure of the angle formed by two intersecting chords in a circle?

Back

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

Front

Define a secant line.

Back

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

Front

What is a tangent line?

Back

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

Front

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

Back

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

Front

What is the relationship between the angles formed by intersecting chords?

Back

The angle formed by two intersecting chords is equal to half the sum of the measures of the arcs intercepted by the angle.

Front

If two tangents are drawn from a point outside a circle, what can be said about their lengths?

Back

The lengths of the two tangents are equal.

Front

What is the inscribed angle theorem?

Back

The inscribed angle is half the measure of the intercepted arc.

Front

How do you find the value of x in a circle when given the measures of angles formed by intersecting chords?

Back

Set up an equation based on the relationship of the angles and solve for x.

Front

What is the formula for the angle formed by two intersecting secants?

Back

Angle = 1/2 (arc1 - arc2), where arc1 and arc2 are the measures of the intercepted arcs.

Front

Define intersecting chords.

Back

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