# Proving Triangle Similarity: 3 Ways (Scale Factor, Transformations, Angles)

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(930 KB|3 pages)
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This worksheet provides practice problems on informal proofs of similarity between two triangles. Part 1 covers a common scale factor, Part 2 a sequence of transformations, and Part 3 covers congruent corresponding angle measures. Examples are provided so students can be more self-directed, and English Language Learners can use those examples as sentence stems. This resource is PARCC aligned and provides ample practice on proving similarity. It is alligned to CCSS 8 Math, but can be used to spiral similarity in HS Geometry or Integrated Math I. I have used this as stations based classwork, as well as homework. Enjoy!

Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.
Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.
Total Pages
3 pages
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Teaching Duration
30 minutes
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