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Geometry Unit 6 (Chapter 7): Objectives and Vocabulary Objectives: 1. Objective 1: Know the proper vocabulary for the unit and previous units. Ratio, Proportion, Means, Extremes, Scale, Similar polygons, Scale factor 2. Objective 2: Express ratios into simplest form Reduced fractions and same labels 3. Objective 3: Manipulate ratios and proportions to solve problems Cross multiplication (means extremes) Properties of proportions 4. Objective 4: Use properties of similar polygons to make conclusions and solve problems Scale Factor Correctly make similarity statements Corresponding angles congruent Corresponding sides proportional 5. Objective 5: Show that two triangles must be similar AA similarity SAS similarity (enrichment) SSS similarity (enrichment) 6. Objective 6: Use proportional lengths to solve problems involving lengths of segments Triangle proportionality theorem Parallel lines cut by a transversal Triangle angle bisector theorem. Vocabulary: Use the terms in objectives 1 to fill in the middle column of the vocabulary sheet then draw a picture in the left column to go with the definitions. Diagram or Example Vocabulary Term Definition Lesson 7-1: Objective 1 The quotient of two numbers when the first number is divided by the second number. An equation stating that two ratios are equal. Lesson 7-2: Objective 1 The first and last terms of a proportion. The middle terms of a proportion. Lesson 7-3: Objective 1 Two figures that have congruent angles and proportional sides. The ratio of the lengths of two corresponding sides of similar polygons.