Question

Quadrilateral CDEF is similar to quadrilateral GHIJ. Find the measure of side IJ. Round your answer to the nearest tenth if necessary.
FE is 2, CD is 5, GH is 23, then what is IJ?

Answer 1

Assuming the vertices correspond in order (C↔G, D↔H, E↔I, F↔J), side CD corresponds to GH and EF corresponds to IJ. The similarity scale factor is GH/CD = 23/5 = 4.6. So

IJ = EF × 4.6 = 2 × 4.6 = 9.2.

Answer: 9.2.