Just what does it take to show two rhombuses are similar? The assessment task asks pupils to develop an argument to show that given quadrilaterals are rhombuses. Class members also use their knowledge of similar triangles to show two rhombuses are similar.

Concepts

rhombus, quadrilaterals, similar figures, similar triangles, similarity, geometric proofs, proofs, corresponding angles, corresponding sides

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Additional Tags

math

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Instructional Ideas

• Provide sample explanations for learners to analyze
• Lead a discussion on ways to show that a quadrilateral is a rhombus

Classroom Considerations

• The class should be familiar with the Pythagorean Theorem

Pros

• Includes sample work with annotations
• Provides a description of common understandings and misunderstandings based upon scores

Cons

• The rubric states to show the two rhombuses are similar, simply show the sides are proportional, which is not exactly correct. It requires showing the angles are equal too

Common Core

HSG-SRT.A.2 HSG-SRT.B.5 MP3 MP5