Which transformation confirms that rectangle abcd and rectangle efgh are similar? a) rectangle abcd is rotated 90° clockwise about the origin and then dilated by a scale factor of 2 with the origin as the center of dilation. b) rectangle abcd is rotated 90° clockwise about the origin and then dilated by a scale factor of 1 2 with the origin as the center of dilation. c) rectangle abcd is rotated 90° counterclockwise about the origin and then dilated by a scale factor of 2 with the origin as the center of dilation. d) rectangle abcd is rotated 90° counterclockwise about the origin and then dilated by a scale factor of 1 2 with the origin as the center of dilation.

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?