Investigate the relationships between a triangle and the similar triangle formed by one of the triangle's midsegments.

• Capture the lengths of a triangle midsegment and the side of the triangle not connected to it
• Analyze the relationship between the lengths using a formula in the spreadsheet
• Measure areas and define them as variables
• Investigate relationships for the measurement data with a spreadsheet

• similarity
• similar triangles
• midsegment

• This “create your own” activity is designed for students to work independently or with a partner to complete this lesson. The time varies for this activity depending on whether the TI-Nspire document (.tns file) is provided or created by the students.