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Lesson Plan

Identify similar figures by analyzing the necessary conditions for demonstrating similarity

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: Similar figures have equal corresponding angle measures and proportional corresponding sides. For two figures to be similar, but NOT congruent, we must show that their side lengths are proportional and not equal. Any figures that are congruent are also similar, but any figures that are similar are not necessarily congruent. Given two triangles, it is sufficient to show that two pairs of corresponding angles are congruent. Description: This lesson builds on students' knowledge of congruence and similarity. Students are presented with the task of analyzing similar and congruent figures in order to come up with properties of similar figures. Students will need to examine the corresponding angles and ratios of the corresponding sides of both similar and congruent figures. Students will be asked to make generalizations about similar figures. This will help develop students understanding of AA criterion for proving similarity. Vocabulary: congruent, similar, corresponding
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