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Triangle DEF has vertices D(0,2) , E(2,4) , and F(4,0) . Graph the image of the triangle after a reflection across the x-axis, followed by a dilation by a scale factor of 1.5.

Respuesta :

The attached figure represents the image of the triangle after a reflection and a dilation

How to determine the image of the triangle?

The vertices are given as:

D(0,2) , E(2,4) , and F(4,0) .

The transformations are given as:

  • Reflection across the x-axis
  • Dilation by a scale factor of 1.5.

The rule of reflection across the x-axis is

(x,y) -> (x,-y)

So, we have:

D' = (0,-2)

E' = (2,-4)

F' = (4,0)

The rule of dilation by a scale factor of 1.5 is:

(x,y) -> 1.5(x,y)

So, we have:

D'' = 1.5 * (0,-2) = (0,-3)

E'' = 1.5 * (2,-4) = (3,-6)

F'' = 1.5 * (4,0) = (6,0)

See attachment for the image of the triangle

Read more about transformation at:

https://brainly.com/question/4289712

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Ver imagen MrRoyal