Answer:
4/3
Step-by-step explanation:
Look at a pair of two corresponding sides of the triangles.
For example, look at the vertical side at the left in triangle in Figure 1.
Its length is 3 units.
Now look at the corresponding side in the triangle in Figure 2. Its vertical side has length 4 units.
The length of a pair of corresponding sides went from 3 units to 4 units.
The scale factor is a number that you multiply an original length by to find the corresponding length in the image.
To find the scale factor, divide the image length by the corresponding original length.
scale factor = (corresponding length in image)/(original length)
scale factor = 4/3
Check:
original length = 3
scale factor = 4/3
corresponding length in image = 3 × 4/3 = 3/1 × 4/3 = 12/3 = 4
By multiplying the original length of 3 by the scale factor of 4/3, we do get the image length of 4. Our scale factor of 4./3 is correct.
Answer: 4/3
