Question

Four rectangles are shown in the diagram. For which dilation is the ratio of the side lengths 2:3?

Answer 1

Answer:

the answer is the option C

C to B

Step-by-step explanation:

Let

x-----> the height of the rectangles

we know that

$hA=8\ units$

$hB=6\ units$

$hC=4\ units$

$hD=2\ units$

Find the ratios

$rDC=\frac{hD}{hC}=\frac{2}{4}=\frac{1}{2}$

$rDB=\frac{hD}{hB}=\frac{2}{6}=\frac{1}{3}$

$rDA=\frac{hD}{hA}=\frac{2}{8}=\frac{1}{4}$

$rCB=\frac{hC}{hB}=\frac{4}{6}=\frac{2}{3}$

$rCA=\frac{hC}{hA}=\frac{4}{8}=\frac{1}{2}$

$rBA=\frac{hB}{hA}=\frac{6}{8}=\frac{3}{4}$

Answer 2

Answer: A) D to C

Step-by-step explanation:

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