Mathematics: Select the two figures that are similar to the 9 by 6 figure that’s is shown.

2,3,6,7Step-by-step explanation:...

Select the two figures that are similar to the 9

viga23456

03.01.2022

The correct option is 3. The green figure is similar to the 9 by 6 figure.

Step-by-step explanation:

Let a small square represents 1 unit.

From the given figure it is noticed that

1. The dimensions of red figure is 4 by 3.

2.The dimensions of brown figure is 4 by 6.

3.The dimensions of green figure is 2 by 3.

3.The dimensions of purple figure is 3 by 6.

The dimensions of given figure is 9 by 6. The proportion of its dimensions is

$\frac{9}{6}=\frac{3}{2}$

The corresponding sides of two similar figure are proportional. It means the ration of sides must be $\frac{3}{2}$ .

The dimensions of green figure is 2 by 3. It means the proportion of its dimensions is $\frac{3}{2}$ .

Therefore the correct option is 3. The green figure is similar to the 9 by 6 figure.

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