Irrational Squares
Objective: Students will discover and analyze various squares in GSP.
Description: This activity uses GSP and is appropriate for a middle school geometry unit as a discovery and analysis activity.
Activity:
1. If two fiugres have the same areas, do they necessaryily have the same perimeters? Verify your answer by clicking here to manipulate the GSP illustration below.
2. If two figures have the same perimeters, do they necessarily have the same areas? Verify your answer by clicking here to manipulate the GSP illustration below.
3. Can you construct squares of the following areas on GSP? List the lengths of the sides of those that are possible.
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Click here for the answers to question 3.