Angle Bisectors and Medians of Quadrilaterals

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Geometry: Quadrilaterals

Level

9-12

Activity Time

90 Minutes

Software

TI Connect™

TI Calculator

TI-83 Plus Family

TI-84 series

Applications

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

Other Materials

This is Activity 24 from the EXPLORATIONS Book:
Cabri™ Jr.: Interactive Geometry Activities and Investigations.

Resource Types

Lessons

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Angle Bisectors and Medians of Quadrilaterals

Activity Overview

In this activity, students will construct angle bisectors and medians in quadrilaterals and explore the properties that appear to be true for four-sided figures. They may find it necessary to review the definitions and properties of special quadrilaterals in order to construct the figures.

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 155 - 158 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 parallelogram and its four angle bisector

Drag the vertex and /or side of the original parallelogram and observe the new quadrilateral formed by angle bisectors

Construct the medians of a generalized quadrilateral

Construct the quadrilateral formed by the medians

Drag the vertices and\or sides to form a special quadrilateral and note what happens to the quadrilateral formed by the medians

Calculate the ratio of the area of the original quadrilateral to the area of the quadrilateral formed by the medians

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 CBIG2401.8xv CBIG2402.8xv

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Geometry: Quadrilaterals

Level

9-12

Activity Time

90 Minutes

Software

TI Connect™

TI Calculator

TI-83 Plus Family

TI-84 series

Applications

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

Other Materials

This is Activity 24 from the EXPLORATIONS Book:
Cabri™ Jr.: Interactive Geometry Activities and Investigations.

Resource Types

Lessons

Report an Issue

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Angle Bisectors and Medians of Quadrilaterals

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

Angle Bisectors and Medians of Quadrilaterals

Before the Activity Files

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

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