8.GM.A

Understand congruence and similarity using physical models, transparencies or geometry software.

8.GM.A.1Verify experimentally the congruence properties of rigid transformations.8.GM.A.1aVerify that angle measure, betweeness, collinearity and distance are preserved under rigid transformations.8.GM.A.1bInvestigate if orientation is preserved under rigid transformations.8.GM.A.2Understand that two-dimensional figures are congruent if a series of rigid transformations can be performed to map the pre-image to the image.8.GM.A.2aDescribe a possible sequence of rigid transformations between two congruent figures.8.GM.A.3Describe the effect of dilations, translations, rotations and reflections on two-dimensional figures using coordinates.8.GM.A.4Understand that two-dimensional figures are similar if a series of transformations (rotations, reflections, translations and dilations) can be performed to map the pre-image to the image.8.GM.A.4aDescribe a possible sequence of transformations between two similar figures.8.GM.A.5Explore angle relationships and establish informal arguments.8.GM.A.5aDerive the sum of the interior angles of a triangle.8.GM.A.5bExplore the relationship between the interior and exterior angles of a triangle.8.GM.A.5cConstruct and explore the angles created when parallel lines are cut by a transversal.8.GM.A.5dUse the properties of similar figures to solve problems.
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