The scale factor is 1/3
Here, we want to get the scale factor
To do this, we can connect the dots on each straight line
Thus, we will have two different triangles
The first is the one including O and B' ; this is the smaller one
The bigger one is the one including O and B; this is the bigger one
Now, we will compare individual lengths by counting the number of squares for each of the triangles
For the smaller one, we have the following number of squares;
We can count squares 2, 3 and 3
For the bigger one, we can count
6, 9 and 9 squares
From what we can see, that we multiply the number of squares in the smaller triangle by 3 to get the number of squares on the larger triangle
Before we proceed to write the scale factor however, we should note that the bigger triangle is the pre-image while the smaller represents the image
What this actually mean is that we are going from the bigger triangle to the smaller triangle
So in the real sense, we are actually scaling down
So the ratio to consider is 6 to 2 which in its lowest form is 1 to 3 and this represents a scale of 1/3
