Question

Use cross products to determine which of the following proportions are equivalent to each other. Select all situations that apply.

Answer 1

9514 1404 393

Answer:

  $\dfrac{a}{c}=\dfrac{b}{d}\ \Leftrightarrow\ \dfrac{a}{b}=\dfrac{c}{d}$

Step-by-step explanation:

The cross products related to the proportions shown here are ...

  $\dfrac{a}{d}=\dfrac{c}{b}\ \Rightarrow\ ab=cd\\\\\dfrac{a}{c}=\dfrac{b}{d}\ \Rightarrow\ ad=bc\qquad\text{same as the fourth one}\\\\\dfrac{d}{a}=\dfrac{c}{b}\ \Rightarrow\ bd=ac\\\\\dfrac{a}{b}=\dfrac{c}{d}\ \Rightarrow\ ad=bc\qquad\text{same as the second one}$