Education Technology

Perpendicular Segments in a Circle

Published on 06/09/2008

Activity Overview

Students learn about chords of a circle. They draw a line perpendicular to the chord and passing through the center of the circle. They explore the lengths of the two segments of the chord. They investigate with a different chord and with different sized circles. NCTM Geometry Standard covered: Analyze characteristics and properties of 2- and 3-dimensional geometric shapes and develop mathematical arguments about geometric relationships.

Before the Activity

  • Install the Cabri™ Jr. App on the students' graphing calculators using TI Connect™, a TI Connectivity Cable, and the Unit-to-Unit Link Cable
  • See the attached PDF file for detailed instructions for this activity
  • Print pages 38-39 from the attached PDF file for your class
  • During the Activity

    Distribute the pages to your class.

    Follow the Activity procedures:

  • Draw a circle
  • Draw a chord in the circle
  • Draw a line perpendicular to the chord and passing through the center of the circle
  • Explore the lengths of the two segments of the chord
  • After the Activity

    Review student results:

  • As a class, discuss questions that appeared to be more challenging
  • Re-teach concepts as necessary