Special 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 10 from the EXPLORATIONS Book:
Exploring The Basics Of Geometry With Cabri

Resource Types

Lessons

Report an Issue

Special Parallelograms

Activity Overview

In this activity, students will study special types of parallelograms like rhombus and rectangle, and investigate properties related to their diagonals.

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 41 - 43 from the attached PDF file for your class

During the Activity

Distribute the pages to the class.

Follow the Activity procedures:

Rhombus:

Draw a segment AC, construct its perpendicular bisector, and label the point of intersection as X

With X as center and XC as radius, draw a circle

Label the points of intersection of the circle and the perpendicular bisector as B and D

Hide the circle and connect the points A, B, C, and D to form rhombus ABCD

Measure the angles of the rhombus

Observe that the diagonals bisect the opposite angles

Alter the rhombus and verify this observation

If a parallelogram is a rhombus, then each diagonal bisects a pair of opposite angles

Rectangle:

Draw a segment AB and construct a perpendicular line through A

Place a point C on the perpendicular line through A

Construct a line perpendicular to AC through C

Construct a line parallel to line AC through point B, and label the point of intersection as D

Hide lines AC, CD, and BD

Draw the diagonals of the rectangle

Measure the diagonals and note that they are congruent

Alter the rectangle and verify this observation

If a parallelogram is a rectangle, then the diagonals are congruent

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

Resource Types

Lessons

Report an Issue

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Special Parallelograms

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

Special Parallelograms

Before the Activity Files

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

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