a) We start by labeling the points P and R, which are the image of A and C:
We can see that the distance between P and R is 6 units.
b) We have to identify B and D, which are the pre-image of points Q and S, and find the distance between them:
The distance between B and D is 3 units.
c) We have to find the scale factor between the figures.
To do that we have to compare corresponding measures.
For example, we can compare the distance between A and C and the distance between P and R.
We can then calculate the scale factor k as:
[tex]k=\frac{PR}{AC}=\frac{6}{2}=3[/tex]
Figure 2 is 3 times the Figure 1.
d) The scale factor is constant for all corresponding sides between the two figures.
Then, if GH has a length of 1, the corresponding side on Figure 2 will have a length that is 3 times it. Then, it will have a length of 3 units.
Answer:
a) 6 units
b) 3 units
c) 3
d) 3 units
