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## Click here for Parent Guide with Extra Practice for Chapter 3  -  Justification and Similarity from CPM

 Chapter Objective Students will be able to… Standard(s) Help/Examples Practice 3.1.1 Perform a dilation of a given shape G-SRT.1 Thinking about dilationsDilating from an arbitrary point example 3.1.1 Understand dilations have equal angles and proportional corresponding side lengths G-SRT.1 Explore dilations 3.1.2 Understand a dilation as a transformation and (multiplying (and dividing) lengths of figures by a common number (zoom factor) produces a similar figure) G-SRT.2 Prove two figures are similar after a dilationDetermine if two figures are similar using transformations and dilationsDetermine a scale factor by applying ratios 3.1.3 Understand the ratio of the perimeter of similar figures is 1 G-SRT.2 Find a perimeter by using a scale factor and a proportion.Find an area by using a scale factor and a proportion. Perimeters of Similar Figures Areas of Similar Figures 3.1.3 Set up and solve proportional problems G-SRT.2 Solving similar triangles 1Solving similar triangles 2 3.1.4 Apply proportional reasoning to real world situations G-SRT.2 3.2.1 Use short cuts to prove similarity (SAS and AA) G-SRT.2 Understand that similar triangles share angle measures and side ratiosShow triangle similarity using translationDetermine similarity by comparing angles Similarity StatementsSide Lengths and angle measures in similar figures Similar Triangles 3.2.2 Prove Similarity using a flowchart (SAS and AA) G-SRT.2 Prove that two triangles are similar by writing an algebraic proof 3.2.3 Understand that if the common ratio of corresponding sides of similar triangles is 1 then the triangles are congruent G-SRT.4 G-SRT.5 3.2.4 Use short cuts to prove similarity (SSS) G-SRT.2 Similar Triangles 2Similarity Rules for Triangles 3.2.5 Prove Similarity using a flowchart (SAS, AA, SSS) G-SRT.2 3.2.6 Apply similarity to real world situations G-SRT.4