4) Graphics Transformations – 20 points Given a rectangular paper you make an arbitrary fold that passes through its cen

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4 Graphics Transformations 20 Points Given A Rectangular Paper You Make An Arbitrary Fold That Passes Through Its Cen 1 (234.9 KiB) Viewed 32 times

4) Graphics Transformations – 20 points Given a rectangular paper you make an arbitrary fold that passes through its center and inclined to the horizontal at angle 0 as shown in the figure. Assume a coordinate axis is placed at the center and aligned along the sides of the paper. If you fold the paper, point P (with coordinates x,y) will fall on top of P' (with coordinaYes x’,y') P(x,y) o X P&y) . Compute the transformation matrix T that, given any such point P finds the coordinates of folded point P'. le P' = T*P. Please show all working to arrive at transformation T Hint - your points coordinates are defined with respect to an origin at the center of the paper. (10 points) What does your matrix reduce to if the paper is a regular A4 size paper with a width of 8 inches and height of 11 inches and you make a fold that passes through two opposite corners of the paper. (3 points) How does your matrix change in the first section change if the coordinate axis is defined to start at the lower left corner of paper and X/Y axes running along the paper horizonal width / vertical height respectively? (7 points)