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ANEK [815]
3 years ago
13

Which image is the dilation of the rectangle with the center of the dilation at the origin and a scale factor of 1/2 ?

Mathematics
2 answers:
yKpoI14uk [10]3 years ago
8 0

Answer:

The 3rd graph represents the dilated image of the rectangle.

Step-by-step explanation:

We are given the rectangle having vertices,

(1,-2), (1,2), (-1,2) and (-1,-2).

<em>Now, this rectangle is dilated about the origin by the scale factor of \frac{1}{2}</em>

That is, the size of the rectangle is reduced by the factor \frac{1}{2}.

Then, the vertices of the new rectangle will be,

(1,-2) changes to \frac{1}{2}\times (1,-2) = (\frac{1}{2},-1)

(1,2) changes to \frac{1}{2}\times (1,2) = (\frac{1}{2},1)

(-1,2) changes to \frac{1}{2}\times (-1,2) = (\frac{-1}{2},1)

(-1,-2) changes to \frac{1}{2}\times (-1,-2) = (\frac{-1}{2},-1)

So, the vertices of the dilated rectangle are (\frac{1}{2},-1), (\frac{1}{2},1), (\frac{-1}{2},1) and (\frac{-1}{2},-1).

Thus, the 3rd graph shown below represents the dilated image of the rectangle.

ElenaW [278]3 years ago
4 0
A <span>To find the Scale Factor divide= </span><span>a side in the image /<span>the same side in the figure</span></span>
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