Various dilations of square a are shown. which square was obtained by dilating square a by the scale factor of

1

2

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Full Question:

Various dilations of square A are shown. Which square was obtained by dilating square a by the scale factor of 3.

E

Step-by-step explanation:

The square a is a 2 unit x 2 unit square. With scale factor of 3. Any unit length of the object must be multiplied by 3

In this case, since the object side is 2, the image side must be 2x3 = 6 units.

Therefore, the dilation of square A with factor of 3 is square E

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional