[MA2015] GEO (9-12) 17 :
17 ) Prove theorems about triangles. Theorems include a line parallel to one side of a triangle divides the other two proportionally, and conversely; and the Pythagorean Theorem proved using triangle similarity. [G-SRT4]
[MA2019] GEO-19 (9-12) 26 :
26. Verify experimentally the properties of dilations given by a center and a scale factor.
a. Verify that a dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. Verify that the dilation of a line segment is longer or shorter in the ratio given by the scale factor. [MA2019] GEO-19 (9-12) 38 :
38. Use the mathematical modeling cycle involving geometric methods to solve design problems.
Examples: Design an object or structure to satisfy physical constraints or minimize cost; work with typographic grid systems based on ratios; apply concepts of density based on area and volume.