Four rectangles are shown in the diagram. For which dilation is the ratio of the side lengths 2:3?
A) D to C
B) D to B
C) C to B
D) B to A

Four rectangles are shown in the diagram For which dilation is the ratio of the side lengths 23 A D to C B D to B C C to B D B to A class=

Respuesta :

Answer:

the answer is the option C

C to B

Step-by-step explanation:

Let

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

we know that

[tex]hA=8\ units[/tex]

[tex]hB=6\ units[/tex]

[tex]hC=4\ units[/tex]

[tex]hD=2\ units[/tex]

Find the ratios

[tex]rDC=\frac{hD}{hC}=\frac{2}{4}=\frac{1}{2}[/tex]

[tex]rDB=\frac{hD}{hB}=\frac{2}{6}=\frac{1}{3}[/tex]

[tex]rDA=\frac{hD}{hA}=\frac{2}{8}=\frac{1}{4}[/tex]

[tex]rCB=\frac{hC}{hB}=\frac{4}{6}=\frac{2}{3}[/tex]

[tex]rCA=\frac{hC}{hA}=\frac{4}{8}=\frac{1}{2}[/tex]

[tex]rBA=\frac{hB}{hA}=\frac{6}{8}=\frac{3}{4}[/tex]

Answer:

Its D to C

Step-by-step explanation:

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