To determine the types of transformations performed on Triangle ABC, we would typically need more specific information about the triangle's coordinates before and after the transformations. However, I can help you fill in the blanks based on typical scenarios.
-
The first transformation was a reflection over the:
- If you're reflecting over the x-axis, the coordinates of the triangle would change in the y-direction. For example, (x, y) becomes (x, -y).
- If you're reflecting over the y-axis, the coordinates would change in the x-direction, i.e., (x, y) becomes (-x, y).
-
The second transformation was a: Based on your options, the second transformation could be:
- Translation: This moves the triangle without changing its shape or orientation.
- Rotation: This turns the triangle around a point (usually its centroid).
- Dilation: This changes the size of the triangle but keeps its shape.
- Reflection: You could reflect it again, potentially over a different line.
- Symmetry: This typically refers to the property that a figure is invariant under certain transformations, not necessarily a specific transformation.
If you were to choose an entry for the second transformation that is commonly applied after a reflection, translation is a frequent option.
- The second transformation was:
- For the direction, it could be either left or right and would involve moving the triangle's position horizontally, followed by the choice of distance (1, 2, 3, 4, or 5) and up or down for vertical movement.
Putting it all together, here’s a possible completed statement: "The first transformation was a reflection over the x-axis. The second transformation was a translation right by 3 units up."
Feel free to adjust the specifics based on the context or characteristics of Triangle ABC!