Answer:3/7Step-by-step explanation:To find the scale factor we have to compare the initial points to the final points, we can do this by observing only one corner of the triangle, as it will apply to the entire triangle. Let's look at C and C'The coordinates of C are (7,-7)The coordinates of C' are (3,-3)To make things simpler let's find the relationship between our x-coordinates, then test it on our y-coordinatesWe essentially have to find what 7 is multiplied by to get 3, we'll make an equation7x=3Solve for x by dividing both sides by 7x=3/7 <------- This shows that our scale factor in this case is 3/7Now we will test this on our y-coordinates-7(3/7)=-3[tex]\frac{-7(3)}{7}[/tex]=-3?The 7's on the top and bottom simplify to -1-1(3)=-3?-3=-3 <------- This is true! So we know this is our scale factor for the entire triangleHope I could help! -Kaylyn