Question

Which two ratios form a proportion? A) 1 : 2 and 4 : 2B) 1 : 2 and 6 : 3C) 2 : 1 and 2 : 4D) 2 : 1 and 6 : 3

Answer 1

Step-by-step explanation:

We are asked to find the two rations that form a proportion

To answer the question,

We have to know what proportions means

Two ratios are said to be in proportion when the two ratios are equal.

Let us check for option A

`\begin{gathered} 1:2\text{ means }(1)/(2) \\ 4:2\text{ means }(4)/(2)=(2)/(1) \\ since\text{ }(1)/(2)\text{ }\\e(2)/(1)\text{ they are not proportional} \end{gathered}`

Check for option B

Check option C

Check for option D

`\begin{gathered} 2:1\text{ means }(2)/(1) \\ 6:3\text{ means }(6)/(3)=(2)/(1) \\ \\ Since\text{ }(2)/(1)\text{ = }(2)/(1) \\ The\text{ ratios are proportional} \end{gathered}`

Therefore, 2:1 and 6:3 are proportional ratios

Thus, option D is correct