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How well can you identify the parts of a circle?

See how well you learned the terms on the previous page. Each question below will ask you to identify a part of a circle. Choose the best answer for each question.

1. Which segment in this circle is a chord?

circle

  1. \(\small\mathsf{ \overline {AB}}\)
  2. \(\small\mathsf{ \overline {FC}}\)
  3. \(\small\mathsf{ \overline {GH}}\)
  4. \(\small\mathsf{ \overline {FD}}\)

\(\small\mathsf{ \overline {AB}}\) is a segment whose endpoints are on the circle.

A chord has endpoints on the circle.

A chord has endpoints on the circle.

A chord has endpoints on the circle.

2. Which segment in the circle below is a radius?

circle

  1. \(\small\mathsf{ \overline {AB}}\)
  2. \(\small\mathsf{ \overline {FC}}\)
  3. \(\small\mathsf{ \overline {GB}}\)
  4. \(\small\mathsf{ \overline {ED}}\)

A radius is a segment that has the center as one endpoint and the other endpoint is on the circle.

\(\small\mathsf{ \overline {FC}}\) is a segment that has the center as one endpoint and the other endpoint is on the circle.

A radius is a segment that has the center as one endpoint and the other endpoint is on the circle.

A radius is a segment that has the center as one endpoint and the other endpoint is on the circle.

3. Which segment in this circle is a diameter?

circle

  1. \(\small\mathsf{ \overline {AB}}\)
  2. \(\small\mathsf{ \overline {FC}}\)
  3. \(\small\mathsf{ \overline {ED}}\)
  4. \(\small\mathsf{ \overline {EC}}\)

A diameter is a segment that has endpoints are on the circle and goes through the center.

A diameter is a segment that has endpoints are on the circle and goes through the center.

A diameter is a segment that has endpoints are on the circle and goes through the center.

\(\small\mathsf{ \overline {EC}}\) is a segment that has endpoints on the circle and goes through the center.

4. Which diagram shows a correct drawing of a circle, using the formal definition of a circle?

  1. circle
  2. circle
  3. oval

A circle is a set of points that are equidistant from a given point, the center.  The black "line" in the non-shaded diagram is the circle.

A circle is a set of points that are equidistant from a given point, the center.  The black "line" in the non-shaded diagram is a circle.  The blue shaded area is the area of the circle, not the circle itself.

A circle is a set of points that are equidistant from a given point, the center.  The black "line" in the non-shaded diagram is a circle.  The blue shaded area is the area of the circle, not the circle itself.

5. Which choice is a tangent in the following circle?

circle

  1. \(\small\mathsf{ \overline {AB}}\)
  2. \(\small\mathsf{ \overleftrightarrow {AB}}\)
  3. \(\small\mathsf{ \overleftrightarrow {GH}}\)
  4. \(\small\mathsf{ \overline {GH}}\)

A tangent is a line that intersects the circle in exactly one point.

A tangent is a line that intersects the circle in exactly one point.

\(\small\mathsf{ \overleftrightarrow {GH}}\) is a line that intersects the circle in exactly one point.

A tangent is a line that intersects the circle in exactly one point.

6. Which choice is a secant in the following circle?

circle

  1. \(\small\mathsf{ \overline {AB}}\)
  2. \(\small\mathsf{ \overleftrightarrow {AB}}\)
  3. \(\small\mathsf{ \overleftrightarrow {GH}}\)
  4. \(\small\mathsf{ \overline {GH}}\)

A secant is a line that intersects the circle in two points.

\(\small\mathsf{ \overleftrightarrow {AB}}\) is a line that intersects the circle in two points.

A secant is a line that intersects the circle in two points.

A secant is a line that intersects the circle in two points.

Summary

Questions answered correctly:

Questions answered incorrectly: