Geometric Transformations: Reflection, Shearing, and Sharing
Learn about reflecting points, distorting objects through shearing, and sharing objects using mathematical transformations. Explore examples and visual representations to understand these concepts better.
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Example : Reflect the point P(3,2) in A- X axis; B- Y axis; C-origin; D-line Y=X;
4.2 Shearing It produces a distortion of an object. There are two types of shearing 1- Y- shearing It transforms the point (X, Y) to the point (Xnew, Ynew) where Xnew= X Ynew= Y+Shy * X where Shy 0 Y shearing moves a vertical line up or down depending on the sign of the shear factor Shy. A horizontal line is distorted into a line with slop Shy. And vis versa.
2- X- shearing It transforms the point (X, Y) to the point (Xnew, Ynew) where Xnew= X+Shx * Y Ynew= Y where Shx 0
Example: Share the object (1,1) , (3,1) , (1,3) , (3,3) with a: Shx=2 b: Shy=2
Thank you Any Questions ?
