4 and 2.
(Because the pattern is that it is dividing the previous number by 2)
Sample text because sample text is sample text, which is sample text according to sample text.
Answer:
Part a) ![\frac{AB}{A'B'}=\frac{BC}{B'C'} =\frac{AC}{A'C'}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BA%27B%27%7D%3D%5Cfrac%7BBC%7D%7BB%27C%27%7D%20%3D%5Cfrac%7BAC%7D%7BA%27C%27%7D)
Part b) The dilation is an enlargement, because the sides of the image are larger than the sides of the original figure.(the scale factor is greater than 1)
Part c) The scale factor is ![3](https://tex.z-dn.net/?f=3)
Step-by-step explanation:
Part a) Write the similarity statement
we know that
If two figures are similar, then the ratio of its corresponding sides is equal
so
![\frac{AB}{A'B'}=\frac{BC}{B'C'} =\frac{AC}{A'C'}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BA%27B%27%7D%3D%5Cfrac%7BBC%7D%7BB%27C%27%7D%20%3D%5Cfrac%7BAC%7D%7BA%27C%27%7D)
substitute the values
![\frac{9}{27}=\frac{12}{36} =\frac{15}{45}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B27%7D%3D%5Cfrac%7B12%7D%7B36%7D%20%3D%5Cfrac%7B15%7D%7B45%7D)
----> is true
therefore
the figures are similar
Part b) The dilation is an enlargement, because the sides of the image are larger than the sides of the original figure. (the scale factor is greater than 1)
Part c) we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor
Let
z------> the scale factor
x-----> corresponding side of the image
y------> corresponding side of the original figure
so
![z=\frac{x}{y}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx%7D%7By%7D)
we have
![x=A'B'=27\ units](https://tex.z-dn.net/?f=x%3DA%27B%27%3D27%5C%20units)
![y=AB=9\ units](https://tex.z-dn.net/?f=y%3DAB%3D9%5C%20units)
substitute
![z=\frac{27}{9}=3](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B27%7D%7B9%7D%3D3)
The scale factor is greater than 1
therefore
Is an enlargement
Answer:
25% markdown
Step-by-step explanation:
27 divided by 36
Which equals 0.75
1-0.75 = 0.25
Convert into percent and get 25%