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Dafna11 [192]
3 years ago
14

What figure is a dilation of Figure A by a factor of 12?

Mathematics
1 answer:
Tcecarenko [31]3 years ago
7 0

Answer:

The length of the side 2 in will become : 2/2 = 1 in

The length of the side 4 in will become : 4/2 = 2 in

The length of the side 1 in will become : 1/2 = 0.5 in

The length of the side 5 in will become : 5/2 = 2.5 in

Therefore, option C is correct.

Step-by-step explanation:

Some important factors about dilation:

  • A dilation is the kind of a transformation which produces an image containing same shape as the original figure, but has a different size.
  • Enlargement occurs when dilation produces a larger image than the original figure.
  • Reduction occurs when dilation produces a smaller image than the original figure.
  • The original figure is shrunk or stretched by a dilation.

When a figure is dilated by a scale factor of 1/2, the length of the image can be obtained by multiplying the factor of 1/2.

As 1/2 < 0, it means the image will be smaller.

So when a figure A is dilated by a scale factor of 1/2, the length of the image can be obtained by multiplying the factor of 1/2.

Thus

The length of the side 2 in will become : 2/2 = 1 in

The length of the side 4 in will become : 4/2 = 2 in

The length of the side 1 in will become : 1/2 = 0.5 in

The length of the side 5 in will become : 5/2 = 2.5 in

Therefore, option C is correct.

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8. Charlotte is given the equation 3x - 4y = 12. She needs to create a graph of the equation, but
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Answer/Step-by-step explanation:

Note:

<u>Graphing From An Equation: </u>

Equation are frequently written in slope-intercept form { y = mx+b}.

Which "m" represents the slope and "b" represents the y-intercept.

<u>Solutions and Equation:</u>

Solutions to linear equations contain any points located on the graphed line.

Ordered Pair = Solution to an equation if it's values are substituted in the equation which makes it true

Solve:

{x = 0 }       3(0) - 4y = 12

                       -4y = 12                                 (0, -3 )

                       -4y/-4 = 12/-4

                                y = -3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

{y = 0}                  3x-4(0) =12

                                3x = 12              (4,0)

                                 3x/3 = 12/3

                                        x = 4

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

<u><em>~Lenvy~</em></u>

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Answer:

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4 0
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