Identifying characteristics of similarity in geometry is essential when using indirect measurement to find lengths one cannot measure any other way.
Focus TEKS
G.11A Use and extend similarity properties and transformations to explore and justify conjectures about geometric figures (S)
G.11B Use ratios to solve problems involving similar figures (S)
G.11C Develop, apply, and justify triangle similarity relationships, such as right triangle ratios, trigonometric ratios, and Pythagorean triples using a variety of methods (R)
Students will know…
the definition of similar triangles
the naming convention for similar triangles
the postulates and theorems of triangular similarity
the difference between congruence and similarity
similar figures are created by the dilation transformation
Students will be able to…
determine the corresponding sides and angles of congruent triangles
prove polygons, especially triangles, are similar
use ratios and proportions to solve for missing sides of polygons (algebraically)
use scale factors in problem situations
solve real-world problems involving similarity
identify the scale factor from dilation transformations
Unit F Notes (Dilations & Similar Polygons, Indirect Measurement): Pages 1-8
Unit F Notes (Proving Similarity): Pages 9-11
Unit F Notes (Applying Similarity, Similar Right Triangles, Perimeter and Area) Pages 12-18
Classwork can be accessed at apollo.atlaslearning.net
PDF's of classwork handouts (minus warm ups) are also available below.