Milli makes magical measurements
This challenging problem is best suited for collaborative work in small groups of 3–4 students. Students will need to be familiar with the classification and properties of quadrilaterals. You can download the Milli makes magical measurements: Student worksheet.
When working with the problem, students will make conjectures and then explore the validity of their ideas using diagrams.
At times, the discussions can become quite complex and simple hand-drawn diagrams may not be sufficiently convincing. Make sure that they can access dynamic geometry software if needed.