Triangle DEF and GHI are similar right triangles. based on this information, which statement is true? A: the relationship between the slope of triangle DEF and the slope of triangle GHI cannot be determined.
B: The slope of triangle DEF is greater than the slope of triangle GHI
C: The slope of triangle DEF is less than the slope of triangle GHI
D: the slope of triangle DEF is equal to the slope of the GHI​

D

Step-by-step explanation:

Both have a slope of 3/2

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

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