Education Technology

Cabri Jr. Inscribed and Central Angles

Subject Area
Math: Geometry: Circles
Level
9-12
Activity Time
30 Minutes
TI Calculator
TI-83 Plus Family
TI-84 series
Other Materials
Student Activity Page
Resource Types
Lessons

Cabri Jr. Inscribed and Central Angles

Activity Overview

This activity uses Cabri™ Jr. to explore the relationship between inscribed and central angles subtended from the same arc of a circle.

Before the Activity

Students require Activity Page

During the Activity

1. Draw a circle in the center of the screen. Label the center O.

  • Use the point tool to make three points on the circle. Label the points A, B, and C as in Figure 1a.
  • Construct angle BAC using the Segment tool.
  • Construct angle BOC using the Segment tool. See Figure 1b.
  • 2. Measure the two angles and using the Angle tool. Record the measurements in the table.
  • Drag point B along the circle.
  • Record the new angle measurements in the table.
  • Continue to drag point B along the circle and record the measurements of the new angles formed.
  • 3. Make a conjecture about the relationship between the measure of an inscribed angle and the central angle subtended by the same arc.

    After the Activity

    Students complete practice questions on activity page.

    icon-download-lm
    Download Files
    Subject Area
    Math: Geometry: Circles
    Level
    9-12
    Activity Time
    30 Minutes
    TI Calculator
    TI-83 Plus Family
    TI-84 series
    Other Materials
    Student Activity Page
    Resource Types
    Lessons
    iPad is a trademark of Apple Inc., registered in the U.S. and other countries.
    Vernier EasyData,Vernier EasyLink and Vernier EasyTemp are registered trademarks of Vernier Science Education.