Triangle abc has vertices a(1,4), b(−2,4) , and c(−1,−1) . a dilation with a scale factor of 0.25 and center at the origin is applied to the triangle. what are the coordinates of c' in the dilated image? enter your answer in the boxes. b' has a coordinate pair of )

C'(-0.25,-0.25)

Step-by-step explanation:

The given triangle has vertices A(1,4), B(−2,4) , and C(−1,−1).

If a dilation with a scale factor of 0.25 and center at the origin is applied to the triangle, then we will have the mapping

We apply this rule to obtain

See graph

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

160

step-by-step explanation:

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