Recall that if two polygons are similar, then their perimeters are proportional to the scale factor between them.
3/2
Practice makes perfect
Recall that if two polygons are similar, then their perimeters are proportional to the scale factor between them. In the previous exercise we proved that △ XYZ and △ WYV are similar, so we can find the scale factor between them. To do this, we will evaluate the ratio of the lengths of a pair of corresponding sides. We can choose ZX and VW.
Now, we will evaluate the scale factor by dividing the length of ZX by the length of VW.
Scale Factor:15/10=3/2
Therefore, the ratio of the perimeters of these two triangles is also 32.
