Question

Writing a Similarity Statement
Angelo has a triangle for an art project labeled IGH. He reduced the size of the triangle by a factor of 5 to fit a smaller frame and labeled that similar triangle DFE.

Triangle G H I. Side G H is 16 inches, H I is 15 inches, G I is 10 inches. Angle G is 65 degrees, H is 48 degrees, I is 67 degrees. Triangle D E F. Side D E is 3 inches, E F is 3.2 inches, D F is 2 inches. Angle D is 67 degrees, E is 48 degrees, F is 65 degrees.

Select the correct similarity statement about these triangles.
Triangle E F D is congruent to triangle H I G
Triangle D E F is similar to triangle G I H
Triangle F E D = triangle G I H
Triangle D F E is similar to triangle I G H

Answer 1

Correct answer: Triangle D F E is similar to triangle I G H.

Reason: Angles match D=67° with I=67°, F=65° with G=65°, and E=48° with H=48°. Side lengths are proportional by factor 1/5: DF = 2 ↔ IG = 10, EF = 3.2 ↔ GH = 16, DE = 3 ↔ IH = 15. So the correspondence D↔I, F↔G, E↔H gives DFE ~ IGH.