Circle Segment Theorems Practice

Front

What is a circle segment?

Back

A circle segment is a region of a circle that is bounded by a chord and the arc that it subtends.

Front

What is the Chord Product Theorem?

Back

The Chord Product Theorem states that if two chords intersect inside a circle, the products of the lengths of the segments of each chord are equal.

Front

What is the Tangent Tangent Theorem?

Back

The Tangent Tangent Theorem states that if two tangents are drawn from a point outside a circle, the lengths of the tangents to the circle are equal.

Front

What is the Secant Secant Theorem?

Back

The Secant Secant Theorem states that if two secants are drawn from a point outside a circle, the product of the lengths of one secant and its external segment equals the product of the lengths of the other secant and its external segment.

Front

What is a tangent line?

Back

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

Front

What type of angle is formed when a tangent line intersects a radius?

Back

A right angle.

Front

How do you calculate the length of a segment in a circle?

Back

Use the appropriate circle theorem (e.g., Chord Product Theorem, Secant Tangent Theorem) to set up an equation based on the segments involved.

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.

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

What is the difference between a secant and a tangent?

Back

A secant intersects a circle at two points, while a tangent intersects a circle at exactly one point.