Segments Formed by Intersecting Chords, Secants, and Tangents

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Geometry: Circles

Level

9-12

Activity Time

90 Minutes

Software

TI Connect™

TI Calculator

TI-84 series

Applications

Cabri™ Jr. for TI-83 Plus and TI-84 Plus

Other Materials

This is Activity 28 from the EXPLORATIONS Book:
Cabri™ Jr.: Interactive Geometry Activities and Investigations".

Resource Types

Lessons

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Segments Formed by Intersecting Chords, Secants, and Tangents

Activity Overview

This activity is designed to help students discover several important theorems concerning lengths of segments formed by intersecting chords, secants, and tangents.

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

Use the TI-Navigator™ to transfer the attached Cabri Jr. AppVar files to each calculator

See the attached PDF file for detailed instructions for this activity

Print pages 189 - 192 from the attached PDF file for your class

During the Activity

Distribute the pages to your class.

Follow the Activity procedures:

Use the AppVar to go directly to the exploration section

Construct a circle with two intersecting chords

Use the Calculate tool to investigate the relationship between the four segments determined by intersecting chords

Construct a circle with two secants that intersect outside the circle

Construct a circle with a tangent and a secant that intersect outside the circle

Use the Calculate tool to investigate the relationship between the secant segments and their external segments

After the Activity

Review student results:

As a class, discuss questions that appeared to be more challenging

Re-teach concepts as necessary

Download Files

Download All Files (ZIP)

Before the Activity Files

Teacher Notes Appendix A PDF Teacher Notes Appendix B PDF Teacher Notes PDF CBIG2801.8xv CBIG2802.8xv CBIG2803.8xv

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Geometry: Circles

Level

9-12

Activity Time

90 Minutes

Software

TI Connect™

TI Calculator

TI-84 series

Applications

Cabri™ Jr. for TI-83 Plus and TI-84 Plus

Other Materials

This is Activity 28 from the EXPLORATIONS Book:
Cabri™ Jr.: Interactive Geometry Activities and Investigations".

Resource Types

Lessons

Report an Issue

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Segments Formed by Intersecting Chords, Secants, and Tangents

Cabri™ Jr. for TI-83 Plus and TI-84 Plus

Segments Formed by Intersecting Chords, Secants, and Tangents

Before the Activity Files

Cabri™ Jr. for TI-83 Plus and TI-84 Plus

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