![]() ![]() ![]() 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. The reflection in this lake also has symmetry, but in this case: it is not perfect symmetry, as the image is changed a little by the lake surface. It is easy to see, because one half is the reflection of the other half. To avoid confusion, the new image is indicated with a little prime stroke, like this: P′, and that point is pronounced “ P prime. The simplest symmetry is Reflection Symmetry (sometimes called Line Symmetry or Mirror Symmetry ). Suppose you have Point P located at (3, 4). Its being rotated around the origin (0,0) by 60 degrees. The original reference point for any figure or shape is presented with its coordinates, using the x-axis and y-axis system, (x,y). Pause this video and see if you can figure that out. We can think of a 60 degree turn as 1/3 of a 180 degree turn. We found that translations have the following three properties: line segments are taken to line segments of the same length angles are taken to angles of the same measure and. Reflection – exchanging all points of a shape or figure with their mirror image across a given line (like looking in a mirror) About Transcript Positive rotation angles mean we turn counterclockwise. Stretch – a one-way or two-way change using an invariant line and a scale factor (as if the shape were rubber) 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 – 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 A rotation is an example of a transformation where a figure is rotated about a specific point (called the center of rotation), a certain number of degrees. You can perform seven types of transformations on any shape or figure: In geometry, a transformation is an operation that moves, flips, or changes a shape to create a new shape. 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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