Question

The two figures are similar. Complete sentences

a) Write the similarity statement.
b) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
c) What is the scale factor? Explain

Answer 1

a)ABC ≅ A'B'C' (SSS) b) Enlargement c) Scale factor = 4

Explanation:

a) ABC ≅ A'B'C' (SSS)

b) The figure is going through an enlargement, this is evident as the figures have a scale factor of 4. If we were to put them into a fraction like this -

6/24=12/48=15/60

The figures are getting bigger, so they are going through an enlargement.

c) To find the scale factor of like done above, we could put them into a ratio.

6/24=12/48=15/60

Which would result in the scale factor of 4.