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100 points and brainliest if u answer this right


Consider this dilation

(a) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.

(b) What is the scale factor? Explain.

100 points and brainliest if u answer this rightConsider this dilationa Is the image of the dilation a reduction or an enlargement of the original figure Explai class=

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mhanifa

Answer:

  • a) Enklargement, b) k = 2

Step-by-step explanation:

a)

The original figure is ABC and the image is A'B'C'.

We can see the image is larger than the original figure.

It indicates that the dilation is an enlargement.

b)

Find the ratio of corresponding sides to find the scale factor.

First get the measure of corresponding line segments.

  • AC = 2 - (-2) = 4
  • A'C' = 5 - (-3) = 8

The scale factor is:

  • k = A'C'/AC = 8/4 = 2

#1

  • Enlargement

#2

Take two sides of both

  • BC=|-3-1|=4units
  • B'C'=|-3-5|=8units

Scale factor:-

  • k=8/4=2

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