Triangle ABC is dilated by a factor of 2 with the center of dilation at the origin to form triangle A′B′C′. What are the coordinates of triangle A′B′C′? Question 2 options:

A)
A′ (0, 4), B′ (4, 0), C′ (16, 16)

B)
A′ (4, 0), B′ (0, 4), C′ (8, 8)

C)
A′ (0, 4), B′ (4, 0), C′ (8, 8)

D)
A′ (0, –4), B′ (–4, 0), C′ (–8, –8)

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?