CS 465 Fall 2006 -- Midterm 1 solution -------------------------------------- Problem 1 --------- 1. b, c 2. a 3. b 4. e 5. c 6. d 7. Uniform scale by 2 followed by a 90-degree rotation. 8. A 45-degree rotation followed by a nonuniform scale by 2 in x and 4 in y followed by a -45-degree rotation. Problem 2 --------- 1. 0 2. 1*(10-8)*(10-8)/100 = 4/100 3. 1*f(12/10)*f(12/10) + 1*f(2/10)*f(18/10) + 1*f(8/10)*f(8/10) + 1*f(18/10)*f(2/10) = (512*512 + 5832*8 + 1728*1728 + 8*5832)/36000000 = (262144 + 46656 + 2985984 + 46656)/36000000 = 3341440/36000000 = 5221/56250 = 0.0928 Problem 3 --------- 1. D 2. C 3. A 4. B 5. E 6. F