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Decide if the triangles in each pair below are similar. If they are similar, give the similarity condition and a sequence of transformations that maps the left triangle onto the right triangle. If they are not similar, explain how you know.

  1. Triangle A, B, C, and triangle D, E, F. A, B is 10, A, C is 11, and B, C is 12. D, E is 15, D, F, is 17, and F, E is 18.

    not similar

  1. In triangle G, H, I, side G, H is, 5 and side H, I is, 5. Angle H is 110 degrees. In triangle J, K, L, side J, K and side K, L are both 8. Angle K is 110 degrees.

    ; Possible sequence: Translate so that lies on point , rotate about so that the angle sides coincide, dilate by a scale factor of .

  1. Triangle N, M, P, has one tick mark on each side. Triangle Q, R, S, has two tick marks on each side.

    These are both equilateral triangles.

  1. Right triangle, T U V, where leg, U V, is 3 & hypotenuse, T V, is 5. Right triangle, W X Y, where leg, W X, is 6 and leg, X Y, is 8.