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Geometry: Circles

Problems

Tangent Lines and Secant Lines

Circles and Polygons

Problem : Is the following a drawing of a secant line, tangent line, tangent segment, or none of these?

Secant Line

Problem : Is the following a drawing of a secant line, tangent line, tangent segment, or none of these?

Tangent Line

Problem : Is the following a drawing of a secant line, tangent line, tangent segment, or none of these?

None of These

Problem : Is the following a drawing of a secant line, tangent line, tangent segment, or none of these?

Tangent Segment

Problem : If a secant line AB intersects a circle at points A and B, and a diameter PQ of the circle bisects the chord AB, what is the angle formed at the intersection of diameter PQ and secant line AB?

The angle formed is a right angle, because if a diameter bisects a chord, it is perpendicular to that chord.

Problem : If a secant line contains the center of a circle, how does that line divide the circle?

The secant line divides the circle into two semicircles.

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