Answer:
3/7
Step-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.
<u><em>Let's look at C and C'</em></u>
The coordinates of C are (7,-7)
The coordinates of C' are (3,-3)
<u><em>To make things simpler let's find the relationship between our x-coordinates, then test it on our y-coordinates</em></u>
We essentially have to find what 7 is multiplied by to get 3, we'll make an equation
7x=3
Solve for x by dividing both sides by 7
x=3/7 <------- This shows that our scale factor in this case is 3/7
<em><u>Now we will test this on our y-coordinates</u></em>
-7(3/7)=-3
=-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 triangle
Hope I could help!
<em> -Kaylyn</em>
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