Review of Circle Geometry

These flashcards cover basic definitions, theorems, and relationships related to circle geometry, based on the lecture notes provided.

What is a tangent in relation to a circle?

A line that touches a circle at exactly one point.

What defines a secant line?

A line that intersects a circle at two points.

What is a chord of a circle?

A segment whose endpoints lie on the circle.

What is the relationship between central and inscribed angles?

The measure of a central angle is equal to the measure of its intercepted arc while an inscribed angle is half the measure of the intercepted arc.

What does the radius perpendicular to a tangent indicate?

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

What happens when a radius is perpendicular to a chord?

It bisects the chord.

What can be concluded if two chords in a circle are congruent?

Their corresponding arcs are also congruent.

What does it mean if two chords are equidistant from the center of a circle?

The chords are congruent.

What is true about parallel chords in a circle?

They cut congruent arcs.

What is true about opposite angles in a cyclic quadrilateral?

The opposite angles are supplementary.

What segment relationships can occur in circles?

There are relationships involving two intersecting chords, two secants, secant and tangent, and two tangents.

What is the first step in writing the equation of a circle?

Determine the center and radius and complete the square twice.

How can you determine if a point lies on a circle?

By checking if the distance from the center to the point equals the radius.

How do you classify a line concerning a circle?

By determining if it is a tangent, secant, or neither based on its intersection points.

Why are proofs important in circle geometry?

They validate statements and theorems related to circles.

What is a comprehensive way to review all learned content on circles?

By reflecting on all material from Kindergarten to the current study.