Geometry: Similarity, Right Triangles, and Trigonometry Archive

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• MI.Math.Content.HSG-SRT.A.1

Verify experimentally the properties of dilations given by a center and a scale factor:

• MI.Math.Content.HSG-SRT.A.1a

A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves…

• MI.Math.Content.HSG-SRT.A.1b

The dilation of a line segment is longer or shorter in the ratio given by the scale factor.

• MI.Math.Content.HSG-SRT.A.2

Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar;…

• MI.Math.Content.HSG-SRT.A.3

Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.

• MI.Math.Content.HSG-SRT.B.4

Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two…

• MI.Math.Content.HSG-SRT.B.5

Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

• MI.Math.Content.HSG-SRT.C.6

Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to…