Education Technology

Nested Similar Triangles

Subject Area
Math: Geometry: Similarity and Proportion
Level
9-12
Activity Time
45 Minutes
TI Calculator
TI-Nspire™ CX series
TI-Nspire™ CX CAS/CX II CAS
TI-Nspire Version
3.0
Resource Types
Lessons
Format
TNS

Nested Similar Triangles

Activity Overview

Discover the conditions that make triangles similar by moving the sides opposite the common angle in nested triangles.

Objectives

  • Students will be able to identify the conditions that determine when nested triangles that share a common angle are similar triangles.
  • Students will validate conditional statements about nested triangles that share a common angle.

Vocabulary

  • similar polygons
  • corresponding parts
  • parallel
  • nested triangles

About the Lesson

In this lesson, nested triangles have been created so that they share a common vertex and vertex angle. The students will drag the endpoints of the side that is opposite the common angle to discover the conditions that make the nested triangles similar. When students make congruent angle marks appear, the triangles will be similar.

Subject Area
Math: Geometry: Similarity and Proportion
Level
9-12
Activity Time
45 Minutes
TI Calculator
TI-Nspire™ CX series
TI-Nspire™ CX CAS/CX II CAS
TI-Nspire Version
3.0
Resource Types
Lessons
Format
TNS
iPad is a trademark of Apple Inc., registered in the U.S. and other countries.
Vernier EasyData,Vernier EasyLink and Vernier EasyTemp are registered trademarks of Vernier Science Education.