Education Technology

# Activities

• ##### Subject Area

• Math: Geometry: Transformational Geometry
• Math: Geometry: Triangles

9-12

50 Minutes

• ##### Device
• TI-83 Plus Family
• TI-84 Plus
• TI-84 Plus Silver Edition
• ##### Software

Cabri Geometry™
TI Connect™

• ##### Accessories

TI Connectivity Cable

• ##### Other Materials
Visit TI Math.com.

## The Converse of the Pythagorean Theorem

#### Activity Overview

Students will:

• Construct a scalene triangle and squares from each side and measure their areas.
• Show that the sum of the areas of the two smaller squares will only equal the area of the largest square when the triangle is right angled.
• Try to alter the properties of their construction by moving the vertices.
• #### Before the Activity

Provide each student with a copy of the attached .pdf document.

#### During the Activity

This activity will help students visualize the property of right triangles by testing the relationship between the area of the largest square and the sum of the areas of the two smaller squares under different conditions.