Similarity and Proportion: Geometry: TI Math Nspired

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Similarity and Proportion

Similarity is more than "same shape, different size." In this unit, students develop a more formal definition of similarity in lessons emphasizing that similar figures have congruent corresponding angles and proportional corresponding sides. They identify the corresponding parts of similar triangles, discover minimal requirements to guarantee similarity, investigate special cases such as nested triangles, and explore the relationships for area and perimeter of similar figures.

Geometry: Similarity and Proportion Activities

Title
Similar Figures Observe what happens to ratios of pairs of side of rectangles and triangles. Standards \| Textbook	6604	16
Corresponding Parts of Similar Triangles Change the scale factor (r) between similar triangles; identify the corresponding parts and establish relationships between them. Standards \| Textbook	6434	13
Angles and Similarity Experiment with the measures of the angles of similar triangles to determine conditions necessary for two triangles to be similar. Standards \| Textbook	6554	14
Nested Similar Triangles Discover the conditions that make triangles similar by moving the sides opposite the common angle in nested triangles. Standards \| Textbook	6193	11
Triangle Midsegments Investigate the relationships between a triangle and the similar triangle formed by one of the triangle's midsegments. Standards \| Textbook	6196	12
Scale Factor Area Perimeter Explore the relationship of perimeter and area in similar triangles when the scale factor is changed. Standards \| Textbook	6255	11
Ratios of Similar Figures Students explore the ratio of perimeter, area, surface area, and volume of similar figures in two and three dimensional figures. Standards \| Textbook	4483	12

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