You can know how to slide a shape using the T ( a, b ) T ( − 10, 3 ) because the first value is always the x-axis. To avoid confusion, the new image is indicated with a little prime stroke, like this: P′, and that point is pronounced “ P prime. Suppose you have Point P located at (3, 4). The original reference point for any figure or shape is presented with its coordinates, using the x-axis and y-axis system, (x,y). Reflection – exchanging all points of a shape or figure with their mirror image across a given line (like looking in a mirror) ![]() The line of reflection can be on the shape. The transformation definition in math is that a transformation is a manipulation of a geometric shape or formula that maps the shape or formula from its preimage, or original position, to its. The line that a shape is flipped over is called a line of reflection. Remember, it is the same, but it is backwards. We call this point the center of rotation. Stretch – a one-way or two-way change using an invariant line and a scale factor (as if the shape were rubber) After a shape is reflected, it looks like a mirror image of itself. More formally speaking, a rotation is a form of transformation that turns a figure about a point. A positive rotation is counterclockwise and a negative rotation is clockwise. Shear – a movement of all the shape’s points in one direction except for points on a given line (like a crate being collapsed) Rotation is a geometric transformation that involves rotating a figure a certain number of degrees about a fixed point. Rotation – turning the object around a given fixed pointĭilation – a decrease in scale (like a photocopy shrinkage)Įxpansion – an increase in scale (like a photocopy enlargement) Translation – moving the shape without any other change You can perform seven types of transformations on any shape or figure: Translations are the simplest transformation in geometry and are often the first step in performing other transformations on a figure or shape.įor example, you may find you want to translate and rotate a shape. ![]() ![]() an isometry) because it does not change the size or shape of the original figure. A translation is a rigid transformation (a.k.a.
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