Look at the shaded triangle in the drawing below. Described in detail, the transformation needed to create the rest of the square design. You can use a combination of translations, the functions,
rotations, and reflections to accomplish the transformation.
To create the rest of the square design, we can start by reflecting the shaded triangle across the vertical line of symmetry in the center of the drawing. This will result in a second identical triangle directly to the right of the first triangle.
Next, we can rotate both triangles 90 degrees clockwise so that they are vertical, with their bases touching. This creates a new shape that looks like a parallelogram.
To complete the transformation, we can reflect the parallelogram across the horizontal line of symmetry that runs through the center of the drawing. This will result in a second parallelogram directly below the first.
Finally, we can translate both parallelograms to the left so that they are adjacent to each other and form a complete square.
The complete transformation, therefore, involves a reflection, rotation, reflection, and translation.