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Geometry

Circles

Circles and lines have important connections. The lessons in this unit examine secant lines and tangent lines and their relationships to each other and to a circle. Students explore the measures of the arcs and angles formed when lines intersect a circle and the relationships between intersecting secant lines and segments formed by these lines. They also work with circles in the coordinate plane.

Geometry: Circles Activities

Title Type

Tangents to a Circle

Explore properties of tangent lines and how they differ from secant lines.

Alignments  Standards  |  Textbook  
  • 6766

Circles - Angles and Arcs

Investigate inscribed angles, central angles and intercepted arcs relationships in circles.

Alignments  Standards  |  Textbook  
  • 7160

Chords of a Circle

Explore the relationship between chords of a circle and their perpendicular bisectors.

Alignments  Standards  |  Textbook  
  • 6630

Secants, Tangents and Arcs

Explore the angle and arc relationships for two intersecting lines that intersect a circle.

Alignments  Standards  |  Textbook  
  • 6914

Positive and Negative Angles and Arcs

Investigate the relationships among the angles of intersection of the two lines and the intercepted arcs using positive and negative angle and arc measures.

Alignments  Standards  |  Textbook  
  • 4379

Intersecting Lines and Segment Measures

Explore the relationship between intersecting lines and the measures of various segments on those lines.

Alignments  Standards  |  Textbook  
  • 6397

Cyclic Quadrilaterals

Explore the relationship between chords of a circle and their perpendicular bisectors.

Alignments  Standards  |  Textbook  
  • 6315

Exploring the Equation of a Circle

Explore right triangles and the Pythagorean Theorem to develop the equation of a circle.

Alignments  Standards  |  Textbook  
  • 6666
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