To map Figure 1 onto Figure 2, we need to determine the transformations that can be applied to Figure 1 to make it congruent to Figure 2. Since these figures are congruent parallelograms, we can use several types of transformations such as translation (sliding), rotation (turning), or reflection (flipping).
For example, if we identify the position and orientation of Figure 2 relative to Figure 1, we might find that a translation followed by a rotation can accurately map one figure to the other. This means moving Figure 1 up and to the right and then rotating it around a specific point until it aligns perfectly with Figure 2.
In summary, the two transformations that could potentially map Figure 1 onto Figure 2 are:
- Translation: Shifting the position of the figure without altering its shape or orientation.
- Rotation: Rotating the figure around a chosen point to match the orientation of the second figure.
Observing the grid points and the corresponding sides of the parallelograms will help confirm the specific transformations needed.