1. Complete the sentence below. In polar coordinates. the graphs of r2 a cos 8 and r = a sin 9 are In polar coordinates, the graphs of r= a c058 and r = a sin 8 are (1) {1) C3 roses. ' '- limaoons. ':- circles. ':- cardioids. 2. Complete the sentence below. To test if a polar equation may be symmetric with respect to the polar axis, replace 8 by To test if a polar equation may be symmetric with respect to the polar axis, replace 8 by (1) .l (1} .;_'__;. nG. [:1 -9. '73- IL. :- n+8. L J l I' If J 3' '11:. 3. Fill in the blanks. To test whether the graph of a polar equation may be symmetric with respect to the line 0 = 5 7 (y-axis), replace with To test whether the graph of a polar equation may be symmetric with respect to the line 0 = = (y-axis), replace (1) . with (2) (1) Or (2) O (-0, -r). O (r,0) O -0. O (0,r) O -r. O ( - r, - 0 ). 4. Fill in the blanks. To test whether the graph of a polar equation may be symmetric with respect to the pole(origin), replace with To test whether the graph of a polar equation may be symmetric with respect to the pole(origin), replace (1) with (2) (1) 0 0 (2) O (-r, -0). Or O (-0, - r). O (0,r) O -r. O (r,0) O -0.5. Determine whether the following statement is true or false. The graph of a polar equation may have symmetry even if it fails a test for that particular symmetry. Is the statement true or false? l L1 The statement is false because the graph of a polar equation can only have symmetry if it passes a test for that particular symmetry. t i The statement is true. [I'll L' i The statement is false because the graph of a polar equation can never have any kind of symmetry. t i The statement is false because the graph of a polar equation always has symmetry. so it can never fail a test for symmetry. l 6. Fill in the blanks below. The graphs of r = a + b sin 0, r= a - b sin 0, r= a + cos 0, and r= a - bcos 0), a > 0, b >0, are called a French a word for snail. The ratio - determines the graph's shape. If - = 1, the graph is shaped like a heart and called a a If - 0, b >0, are called (1) _ a French word for snail. The ratio - a - determines the graph's shape. If - = 1, the graph is shaped like a heart and called a (2) f-