Properties of Parallelograms

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Geometry: Quadrilaterals

Level

9-12

Activity Time

60 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 9 from the EXPLORATIONS Book:
Exploring The Basics Of Geometry With Cabri

Resource Types

Lessons

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Properties of Parallelograms

Activity Overview

In this activity, students go through the process of proving a quadrilateral to be a parallelogram. They understand the various characteristics of a parallelogram.

Before the Activity

Install the Cabri™: Jr. App on the students' graphing calculators using one of these two methods:

TI-Connect™, a TI Connectivity Cable, and the Unit-to-Unit Link Cable

TI-Navigator™ "send to class" feature

See the attached PDF file for detailed instructions for this activity

Print pages 37 - 39 from the attached PDF file for your class

During the Activity

Distribute the pages to your class.

Follow the Activity procedures:

Construct a parallelogram

Find and label the lengths of all the sides

Observe that the opposite sides are congruent

Alter the parallelogram and check this relationship

Find and label the measure of all the angles

Alter the parallelogram and observe that the opposite angles stay congruent

Note that the consecutive angles are supplementary

Drag the vertex and verify if this relationship is maintained

Construct diagonals and determine the point of intersection

Measure the distance between the point of intersection of the diagonals and the vertices of the parallelogram

Observe that the diagonals bisect each other

Note that if a quadrilateral is a parallelogram, then its opposite sides are congruent, opposite angles are congruent, consecutive angles are supplementary, and diagonals bisect each other

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

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Geometry: Quadrilaterals

Level

9-12

Activity Time

60 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 9 from the EXPLORATIONS Book:
Exploring The Basics Of Geometry With Cabri

Resource Types

Lessons

Report an Issue

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Properties of Parallelograms

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

Properties of Parallelograms

Before the Activity Files

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

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