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telo118 [61]
3 years ago
11

Graph the image of this quadrilateral after a dilation with a scale factor of 4 centered at the origin

Mathematics
1 answer:
Brut [27]3 years ago
8 0

Answer: The image is attached.

Step-by-step explanation:

A Dilation is defined as  a transformation in which the image and the pre-image have the same shape, but their sizes are different.

When the scale factor is greater than 1, the image obtained after the  dilation is greater than the pre-image and it is an "Enlargement".

When the scale factor is is between 0 and 1,  the image obtained after the  dilation is smaller than the pre-image and it is an "Reduction".

In this case we know that the scale factor is:

scale\ factor=4

Since:

4>1

It is an Enlargement.

You can identify that the vertices of the pre-image shown in the figure, are:

(-2,1)\\\\(-1,2)\\\\(0,0)\\\\(-1,-2)

So you need to multiply the coordinates of those vertices by 4 in order to get the coordinates of the image;

((-2)(4),1(4))=(-8,4)\\\\((-1)(4),(2)(4))=(-4,8)\\\\((0)(4),(0)(4)=(0,0)\\\\((-1)(4),(-2)(4))=(-4,-8)

Now you can draw it (The image is attached).

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3 years ago
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Read image for instructions
Oliga [24]

The last part answers the first part for you, just look at the y-values.

In other words:

<em>A'</em><em> </em>(-8, 2)

<em>B'</em> (-4, 3)

<em>C'</em> (-2, 8)

<em>D'</em> (-10, 6)

Explanation:

When you reflect any point over the x-axis, the y-value of the ordered pair is going to change.

This makes sense especially considering that the x-axis is horizontal, so the only way you could cross is to move up or down. If you were to move left or right, you'd only be able to cross the y-axis, since it's vertical.

Now for the last part, as I mentioned above, if you are reflecting across the y-axis, the x-values of the ordered pair is going to change.

<em>A'</em><em>'</em> (8, 2)

<em>B'</em><em>'</em> (4, 3)

<em>C'</em><em>'</em> (2, 8)

<em>D'</em><em>'</em> (10, 6)

Take note that the only thing that changes for the respective value is its sign, while the number itself stays the same.

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Step-by-step explanation:

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