Question

Determine if triangle UVW and triangle XYZ are or are not similar, and, if they are, state how you know. (Note that figures are NOT necessarily drawn to scale.) Triangle UVW numbers are 20, 22, and 25. Triangle XYZ numbers are 80, 88 and 100.

Answer 1

Yes — they are similar.

Each side of triangle XYZ is 4 times the corresponding side of triangle UVW: 80/20 = 88/22 = 100/25 = 4. Since all three side ratios are equal, the triangles are similar by the SSS (side-side-side) similarity theorem (scale factor = 4).