The figures shown are similar.
What is the scale factor?
Diagram contains two trapezoids. The first has a base of 21. The second has a base of 12.
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The scale factor can be calculated by comparing the lengths of the bases of the two trapezoids.
The scale factor is given by the ratio of the lengths of the bases of the two trapezoids.
Scale factor = length of base of trapezoid 2 / length of base of trapezoid 1
In this case, the length of the base of trapezoid 2 is 12 and the length of the base of trapezoid 1 is 21.
So the scale factor is 12/21, which can be simplified to 4/7.
Therefore, the scale factor is 4/7.