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14. if triangle a has coordinates (4,0), (5,2), and (3,2) and triangle …

Question

  1. if triangle a has coordinates (4,0), (5,2), and (3,2) and triangle b has coordinates (0,-4), (-2,-5), and (-2,-3), what transformations could have occurred to produce the congruent figures? a. reflection and dilation b. rotation and reflection c. rotation and dilation d. translation and dilation

Explanation:

Brief Explanations

Dilation changes the size of a figure and produces similar - not congruent - figures. Since the two triangles are congruent, dilation cannot be one of the transformations. Reflection and rotation are rigid motions that preserve the size and shape of a figure, resulting in congruent figures.

Answer:

b. Rotation and Reflection