What is true about the rotation of the shaded triangle to the position of the unshaded triangle? check all that apply. 1.the rotation uses the rule (x, y)g(–x, –y). 2.the rotation uses the rule (x, y)g(y, –x). 3.the rotation is 90° clockwise about the origin. 4.the rotation is 180° about the origin. 5.the rotation uses the rule (x, y)g(–y, x). 6.the rotation is 90° counterclockwise about the origin.

1- 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.2- 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 the first question?