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4 years ago

Graph the image of this figure after a dilation with a scale factor of 2 centered at (2, 2).

Mathematics

1 answer:

kow [346]4 years ago

7 0

Answer:

(-6,6), (0,12), (4,8)

Step-by-step explanation:

To dilate an object, we need to multiply the x and y values by the given scale factor.

In this case the scale factor is 2 --> 2(x, y)

Before-> After dilation

2(-3,3) = (-6,6)

2(0,6) = (0,12)

2(2,4) = (4,8)

Please leave a 'thanks' if this helps!

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Answer:

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Distance between -3,-2 and 5,2

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$\qquad \: D = \sf \red{\sqrt{ {(x_2 -x_1)}^{2} + {(y_2 -y_1)}^{2} }}$

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Therefore,

$: \implies \: D = \sf \red{\sqrt{ {(x_2 -x_1)}^{2} + {(y_2 -y_1)}^{2} }} \\ \\ : \implies \: D = \sf \sqrt{ {(5-( - 3))}^{2} + {(2 -( - 2))}^{2} }\\ \\ : \implies \: D = \sf \sqrt{ {8}^{2} + {4}^{2} } \\ \\ : \implies \: D = \sqrt{64 + 16} \\ \\ : \implies \: D = \sqrt{80}$

Hence the √80 = 8.94 approx is the distance between the two points (-3,-2) and (5,2).

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