Question

Graph △FGH with vertices F(−2, 2), G(−2,−4) and H(−4,−4) and its image after the similarity transformation.

Translation: (x, y) → (x+3, y+1)
Dilation: (x, y) → (2x, 2y)

Answer 1

Answer:

hngc

Step-by-step explanation:

Answer 2

Transforming △FGH involves changing its size and position.

See attachment for the graphs of triangles FGH and F"G"H"

The coordinate of the triangle is given as:

$\mathbf{F = (-2,2)}$

$\mathbf{G = (-2,4)}$

$\mathbf{H = (-4,-4)}$

When the translation rule is applied, we have:

$\mathbf{(x,y) \to (x + 3, y + 1)}$

So, the translated points are:

$\mathbf{F' =(1, 3)}$

$\mathbf{G' =(1, 5)}$

$\mathbf{H' =(-1, -3)}$

When the dilation rule is applied, we have:

$\mathbf{(x,y) \to (2x,2y)}$

So, the dilated points are:

$\mathbf{F" = (2,6)}$

$\mathbf{G" = (2,10)}$

$\mathbf{H" = (-2,-6)}$

See attachment for the graphs of triangles FGH and F"G"H"

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