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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?

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B' has a coordinate pair of (_,_ )

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Your answer is -0.5 hope it helps:)
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kudzordzifrancis

Answer:

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

[tex](x,y)\rightarrow (0.25x,0.25y)[/tex]

We apply this rule to obtain

[tex]C(-1,-1)\rightarrow C'(0.25\times-1,0.25\times-1)[/tex]

[tex]C(-1,-1)\rightarrow C'(-0.25,-0.25)[/tex]

See graph

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