Question

triangle 1 undergoes four different transformations. the results of these transformations are shown. which statement best describes one of these transformations? o triangle 1 is rotated to result in triangle 2. o triangle 1 is dilated to result in triangle 3. o triangle 1 is reflected to result in triangle 4. o 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 stretch is a non - uniform change in size.

Step2: Analyze each option

• Rotation: Check if triangle 2 has the same size and shape as triangle 1 but different orientation.
• Dilation: Check if triangle 3 has a proportional change in size compared to triangle 1.
• Reflection: Check if triangle 4 is a mirror - image of triangle 1.
• Stretch: Check if triangle 5 has a non - uniform size change compared to triangle 1.

Step3: Observe the triangles

If we assume the triangles are on a coordinate plane or in a geometric space, dilation is a transformation that changes the size of a figure proportionally. Triangle 3 appears to be a smaller version of triangle 1, which is consistent with dilation.

Answer:

Triangle 1 is dilated to result in triangle 3.