To determine the transformations that show the triangles are congruent, we typically look for two key operations: rotation and translation.
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Rotation: This involves turning the triangle around a point by a specified angle in a counterclockwise direction. The degree of rotation would depend on how the triangle has been turned.
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Translation: This involves sliding the triangle from one position to another without changing its shape or orientation. The translation vector can be expressed in a format like (x, y), indicating how far to move in the horizontal and vertical directions.
Since I cannot see the image, I can guide you on how to find the appropriate angle for the rotation and the translation vector based on the image of the triangles provided.
If you have the angle of rotation and the translation vector, you can complete your answer. For example, the transformations could be stated as:
"Rotation of θ degrees counterclockwise and translation of (x, y)."
Please provide more specific details or check the image to complete the transformation descriptions.