1. Use the transformation matrices to rotate the point (-6,3) by 128 degrees in the clockwise...

 

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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. 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. 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.