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triangle 1 undergoes four different transformations. the results of the…

Question

triangle 1 undergoes four different transformations. the results of these transformations are shown. which statement best describes one of these transformations? triangle 1 is rotated to result in triangle 2. triangle 1 is dilated to result in triangle 3. triangle 1 is reflected to result in triangle 4. triangle 1 is stretched to result in triangle 5.

Explanation:

Step1: Recall transformation definitions

Rotation changes orientation, dilation changes size, reflection creates a mirror - image, and stretching is not a standard geometric transformation term in this context.

Step2: Analyze each option

  • For rotation: Check if triangle 2 can be obtained by rotating triangle 1.
  • For dilation: Check if triangle 3 has a proportional size change compared to triangle 1.
  • For reflection: Check if triangle 4 is a mirror - image of triangle 1.
  • For stretching: 'Stretching' is not a proper geometric transformation here.

Step3: Determine the correct transformation

By observing the shapes, we find that triangle 1 is dilated to result in triangle 3 as triangle 3 is smaller and proportional to triangle 1.

Answer:

Triangle 1 is dilated to result in triangle 3.