Question

The green triangle is the preimage, and a sequence of transformations were performed to create the purple triangle. Describe one possible sequence of transformations to accomplish this transformation from the green triangle to the purple triangle.

Answer 1

The transformation of the green triangle to the purple triangle could include translation, rotation, reflection, and scaling. These steps are executed to move, rotate, reflect, and scale the green triangle, respectively.

Step-by-step explanation:

The process of transforming the green triangle to the purple triangle involves several steps:

1. Translation: The green triangle can be moved linearly from its original position to a new position without any rotation or resizing.

2. Rotation: The moved triangle can then be rotated around a fixed point (pivot) to align it with the orientation of the purple triangle.

3. Reflection: If the purple triangle is a mirror image of the green triangle across a particular axis, a reflection transformation would be necessary.

4. Scaling (or Dilation): If the purple triangle is different in size from the green triangle, a scaling transformation would adjust its size proportionally in all directions.