Exploring Lines and Segments in Circle Geometry

What is the definition of a circle?

• A closed curve consisting of points

• A shape with equal radii

• All points equidistant from a center

• A polygon with infinite sides

How many degrees does a circle contain?

• 180 degrees

• 360 degrees

• 90 degrees

• 270 degrees

What is a chord in the context of a circle?

• A curve inside the circle

• A line intersecting the circle at one point

• A segment passing through the center

• A line segment with both endpoints on the circle

What defines a diameter of a circle?

• A radius multiplied by three

• A segment connecting non-consecutive points

• A line outside the circle

• The longest chord of the circle

What is a tangent to a circle?

• A circular path inside the circle

• A line intersecting the circle at two points

• A line intersecting the circle at exactly one point

• A line intersecting the circle at no points

What is a secant in relation to a circle?

• A line intersecting at one point

• A curve touching two points

• A segment within the circle

• A line intersecting at two points

In the given diagram, which segment is a diameter?

• Segment DF

• Segment EC

• Segment FA

• Segment DE

Which line is identified as a secant in the diagram?

• Line EC

• Line BG

• Line DF

• Line DE

What does the External Tangent Congruent Theorem state about tangent segments?

• Tangent segments are always equal in length to the radius

• Tangent segments can never be parallel

• Tangent segments always intersect at right angles

• Tangent segments from the same external point are congruent

How do you solve for x when given the equation 2c squared plus 9c plus 6 equals 9c plus 14?

• Divide all terms by 2

• Isolate c squared and solve the quadratic equation

• Subtract 9c from both sides and solve

• Add 14 to both sides and simplify