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 Pythagorean Theorem (Part 2)

#### Activity Overview

Students will:

• Construct a square.
• Divide each side of the square using the same length to construct four congruent triangles and an inner square.
• Show that the Pythagorean relationship holds using an algebraic and numeric approach.
• #### Before the Activity

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

#### During the Activity

This activity will help students visualize the areas involved in a right- angled triangle and uses some basic algebra involving the sum of areas in the diagram to prove that the Pythagorean relationship holds. The numeric approach confirms the algebraic result.