What figure is formed by connecting the midpoints of the sides of a quadrilateral? The geometry assessment task has class members work through the process of determining the figure inscribed in a quadrilateral. Pupils use geometric properties to find and prove relationships between the sides of the inscribed quadrilateral.

Concepts

quadrilaterals, parallel lines, parallel sides, parallelograms, properties of parallelograms, proofs, geometric proofs, midpoints, geometric properties, geometric figures

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Additional Tags

math

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Instructional Ideas

• Provide opportunities that require justifications using geometric properties
• Create groups based upon the justifications of the parallelogram to see if groups can find other ways

Classroom Considerations

• The class should be familiar with proving quadrilaterals are parallelograms

Pros

• The rubric breaks down the point allocation for a correct answer and justifications
• Teacher notes connect the performance on the task to van Hiele Levels of geometric understanding

Cons

• None

Common Core

HSG-CO.C.9 HSG-CO.C.11 MP3 MP6