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4 years ago

Find the scale factor.

Mathematics

1 answer:

aivan3 [116]4 years ago

5 0

The scale factor is 1.5. The dilation rule is : (x,y)-------(.15x,1.5y)

Step-by-step explanation:

Dilation is a transformation that maps an object to an image of the same shape as the original object to form a different size image.When a larger image is produced it's called an enlargement where as when a small image is produced, it's called a reduction.

The rule of dilation, with center as the origin follows;

(x,y)------(sx,sy) where s is the scale factor. To find the scale factor, select one of the vertices of the object and of the image at divide the coordinate of image with that of object.

Taking O(2,16) and O'(3,24), the scale factor will be;

s*2=3

2s=3

s=3/2 =1.5

s*16=24

16s=24

s=24/16=3/2=1.5

The scale factor is 1.5, hence the dilation rule is;

(x,y)-------(.15x,1.5y)

Learn More

Dilation:brainly.com/question/10945890

Keywords: dilation, vertices, origin, scale factor, translation

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