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This geometry math tutorial from NutshellMath offers homework help on finding the understanding transformations of geometric figures. A transformation is an operation that maps all the points of a figure into a new orientation, called an image. There are several different kinds of transformations, which differ based upon how they map the initial figure into the image. A few types of transformations are translations, reflections, rotations and dilations.
This tutorial discusses two types of transformations; reflections and translations. A reflection will flip all the points of a figure across a fixed point, line, or plane depending on the dimension of the original figure. The newly mapped image will be a reflection of the original figure. A two dimensional figure can be reflected across a line by mapping every vertex of the figure across the line the same perpendicular distance from the line but on the opposite side. Doing so for all points will yield a reflection. A translation will slide all of the points of a figure the same distance and in the same direction. A two dimensional figure can be translated in both dimensions by moving each vertex of the figure and equal distance in the same direction. The translation will yield the same figure in a different location in space.
Other types of transformations, such as dilations and rotations will also alter figures to yield an image. Working with translations is necessary in both geometry and many realms of applied mathematics. Understanding how to move and manipulate figures is a valuable skill in math.
This geometry math tutorial from NutshellMath offers homework help on finding the understanding transformations of geometric figures. A transformation is an operation that maps all the points of a figure into a new orientation, called an image. There are several different kinds of transformations, which differ based upon how they map the initial figure into the image. A few types of transformations are translations, reflections, rotations and dilations.
This tutorial discusses two types of transformations; reflections and translations. A reflection will flip all the points of a figure across a fixed point, line, or plane depending on the dimension of the original figure. The newly mapped image will be a reflection of the original figure. A two dimensional figure can be reflected across a line by mapping every vertex of the figure across the line the same perpendicular distance from the line but on the opposite side. Doing so for all points will yield a reflection. A translation will slide all of the points of a figure the same distance and in the same direction. A two dimensional figure can be translated in both dimensions by moving each vertex of the figure and equal distance in the same direction. The translation will yield the same figure in a different location in space.
Other types of transformations, such as dilations and rotations will also alter figures to yield an image. Working with translations is necessary in both geometry and many realms of applied mathematics. Understanding how to move and manipulate figures is a valuable skill in math.