Pupils work in pairs to investigate what it takes to prove that two triangles are similar. They work through various shortcuts to find which are enough to show a similarity relationship between the triangles. Small groups work with the triangles formed when connecting the midpoints of the sides of a triangle.

Concepts

similar figures, similar triangles, similarity, postulates, theorems, midpoints, constructions, geometric constructions

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Additional Tags

math

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Instructional Ideas

• Provide several opportunities for pairs to discover relationships with similar triangles using geometry software
• Have groups try to find other similarity shortcuts

Classroom Considerations

• Class members should be familiar with congruent triangles
• Uses geometry software, so be sure this is installed or accessible

Pros

• Includes suggested assessment questions
• Contains an instructor reference sheet for activity three

Cons

• None

Common Core

HSG-SRT.A.2 HSG-SRT.A.3 HSG-SRT.B.5 MP3 MP6 MP8