to describe a sequence of transformations that maps triangle ABC onto triangle A'B'C, a student starts with a reflection over the x-axis. how should the student complete the sequence of transformations to map triangle ABC onto triangle A''B'C?
To map triangle ABC onto triangle A''B'C, the student should complete the sequence of transformations by performing a reflection over the y-axis after the reflection over the x-axis.
The student started with a reflection over the x-axis, so the image of triangle ABC is now triangle A'B'C. To map the triangle ABC onto triangle A''B'C, the student needs to further apply a transformation.
One possible transformation that the student can use is a rotation of 180 degrees about the origin. This rotation will transform triangle A'B'C into the desired triangle A''B'C.
So, the complete sequence of transformations is:
1. Reflection over the x-axis
2. Rotation of 180 degrees about the origin