stretching-and-shrinking - CMP2 Math Support - Grade 7Similarity, corresponding angles, corresponding sides, scale factor, ratio, Rep-Tiles, triangles, parallelograms. It also promotes algebraic thinking with the use of algebraic rules to produce similar or non-similar figures. In the CCSS, the word similarity is not mentioned. Instead, CCSS ask students to create scale drawings and use these drawings to investigate the relationship between lengths, perimeter, and area of two scaled drawings. In this unit we use the words similar figures and scale drawings interchangeably. Very little change has been made to the original content of this unit. The original five investigations have been arranged into four investigations.
7-3 Stretching and Shrinking - Concepts and Explanations
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Two figures are similar if: 1 the measures of their corresponding angles are equal and 2 the lengths of their corresponding sides increase by the same factor, called the scale factor. So, the scale factor from Figure A to Figure B is 1. Figure A stretches or is enlarged by a factor of 1. The number used to multiply the lengths of a figure to stretch or shrink it into a similar image. A scale factor larger than 1 will enlarge a figure.