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tekilochka [14]
3 years ago
14

Graph the image of this figure after a dilation with a scale factor of 12 centered at the point (2, 2) . Use the polygon tool to

graph the dilated figure.

Mathematics
1 answer:
Alla [95]3 years ago
5 0

Answer:

Labelled the given figure triangle as A, B and C.

In triangle ABC;

The coordinates of ABC are:

A = (0, 4)

B = (-2, 10) and

C = (-6, 8)

To find the image of this figure after a dilation with a scale factor of \frac{1}{2} centered at the point O=(2, 2).

The rule of dilation with scale factor \frac{1}{2} centered at the point (2, 2) is given by;

(x, y) \rightarrow (\frac{1}{2}(x-2) +2 , \frac{1}{2}(y-2) +2)

or

(x, y) \rightarrow (\frac{1}{2}x+1 , \frac{1}{2}y+1)

The coordinate of the image of the figure after dilation are;

A(0, 4) \rightarrow A'(\frac{1}{2}(0)+1 , \frac{1}{2}(4)+1) = A'(1, 3)

B(-2, 10) \rightarrow B'(\frac{1}{2}(-2)+1 , \frac{1}{2}(10)+1) = B'(0, 6)

C(-6, 8) \rightarrow C'(\frac{1}{2}(-6)+1 , \frac{1}{2}(8)+1) = C'(-2, 5)

You can see the graph as shown below in the attachment:





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