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Lesson Plan

Determine whether two triangles are similar by analyzing corresponding sides and angles

teaches Common Core State Standards 111.28.8.D
teaches Common Core State Standards 111.41.5.A
teaches Common Core State Standards CCSS.Math.Content.8.G.A.5
teaches Common Core State Standards MAFS.8.G.1.5
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Big Ideas: We can use angle measures or side lengths to determine whether two triangles are similar. If corresponding angle measures are all equal, then the triangles are similar. If the corresponding side lengths are all in proportion, then the triangles are similar. This task builds on students' knowledge of similar figures. It helps develop students' understanding of necessary and sufficient conditions for proving triangle similarity. Students are presented with the task of determining whether their props for a school play are ready. Students will need to determine whether their team provided them with sufficient information to prove if the props are similar. Students will be asked to make a generalization about the necessary and sufficient information to show whether a triangle and its image are similar.
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