Suppose a is to b as c is to d; that is, $$ \frac{a}{b} = \frac{c}{d} $$. Complete parts a through d below.
a
c
(a) Beginning with $$ \frac{a}{b} = \frac{c}{d} $$, show that b is to a as d is to c. What is the first step?
A. Cross multiply.
b
B. Add $$ \frac{b}{a} $$ to the left side and $$ \frac{d}{c} $$ to the right side.
b
d
C. Subtract $$ \frac{b}{a} $$ from the left side and $$ \frac{d}{c} $$ from the right side.
D. Subtract b from the left side and d from the right side.
Perform the indicated operation(s) from the previous step. What is the result?
ad = cb
b
d
Using the result of the previous step, which of the following must be done to obtain $$ \frac{b}{a} = \frac{d}{c} $$?