Honors Geometry - Angles Formed by Chords

Front

What is the definition of a chord in a circle?

Back

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

Front

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

Back

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

Front

How do you calculate the measure of an arc in a circle?

Back

The measure of an arc can be calculated using the formula: Arc Measure = (Central Angle / 360) * Circumference of the Circle.

Front

What is the Inscribed Angle Theorem?

Back

The Inscribed Angle Theorem states that an inscribed angle is half the measure of the intercepted arc.

Front

If two chords intersect inside a circle, how do you find the measures of the angles formed?

Back

The angles formed by two intersecting chords can be found using the formula: Angle = (Arc1 + Arc2) / 2.

Front

What is the measure of an angle formed by a tangent and a chord?

Back

The measure of the angle formed by a tangent and a chord through the point of contact is equal to half the measure of the intercepted arc.

Front

What is the definition of a secant line?

Back

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

Front

How do you find the measure of an angle formed by two secants?

Back

The measure of the angle formed by two secants that intersect outside the circle is equal to half the difference of the measures of the intercepted arcs.

Front

What is the formula for the measure of an angle formed by two tangents?

Back

The measure of the angle formed by two tangents that intersect outside the circle is equal to half the difference of the measures of the intercepted arcs.

Front

If the measure of arc AB is 80°, what is the measure of the inscribed angle that intercepts arc AB?

Back

The measure of the inscribed angle that intercepts arc AB is 40°.