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Mathematics | Grade : 8
Domain - Geometry
Cluster - Understand congruence and similarity using physical models, transparencies, or geometry software.
[8.G.A.1.a] - Lines are transformed to lines, and line segments to line segments of the same length.
- Transformation
A prescription, or rule, that sets up a one-to-one correspondence between the points in a geometric object (the pre-image) and the points in another geometric object (the image). Reflections, rotations, translations, and dilations are particular examples of transformations.
[GEO.G-CO.A.2] -
Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).
[GEO.G-CO.A.4] -
Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
[GEO.G-GPE.A.2] -
Derive the equation of a parabola given a focus and directrix.
[MI.G-CO.A.2] -
Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).
[MI.G-CO.A.4] -
Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
[MII.G-GPE.A.2] -
Derive the equation of a parabola given a focus and directrix.