Miguel draws △jkl with vertices j(−12, −1) , k(12, 9) , and l(12, −1) . then he dilates the triangle with a scale factor of 6 to create △j′k′l′. how are the areas of the triangles related?

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the area of △j′k′l′ is times the area of △jkl.

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step-by-step explanation:

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