Question - Finding Scale Factor of Similar Triangles

Solution:

The image shows two similar triangles. When two triangles are similar, their corresponding sides are proportional, meaning the ratio between the lengths of one pair of corresponding sides is the same as the ratio between the lengths of any other pair of corresponding sides.To find the scale factor from the larger triangle CDE to the smaller triangle VTU, we divide the lengths of one pair of corresponding sides from the two triangles. We can use sides DE and TU for this purpose:Scale factor = side TU / side DEScale factor = 8 / 12Scale factor = 2 / 3So, the scale factor from triangle CDE to triangle VTU is 2/3.

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