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1. Use the transformation matrices to rotate the point (-6,3) by 128 degrees in the clockwise direction. Plot the point before and after. 2.
1. Use the transformation matrices to rotate the point (-6,3) by 128 degrees in the clockwise direction. Plot the point before and after. 2. Use the transformation matrices to move the point (3,-4). First rotate it by 78 degrees and then translate the point by 5 units in the x-direction and 3 units in the y-direction. Plot the result. Reverse the order of the tasks and compare the result. 3. The corners of a triangle G are labelled p,q and r. The co-ordinates of these corners are (1, 5), (7, -1) and (-2, 4) respectively. If G is rotated by an angle of 45 about the point (3, 4) find the new co-ordinates of the corners. 4. Show that a rotation of 60 about the point (2, 5) followed by a rotation of 75 about the point (-1, 8) is the same as a single rotation of to followed by a translation. Find the values of t and the values of the translation. 5. A square has vertices(corners) at the points (1,1), (-1,1),(-1,-1), and (1,-1). Perform the following transformations on the square and plot the results. Comment on the shape and position of the square after the transformations.
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