Question

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''?

Answer 1

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. The student student complete the sequence of transformations to map triangle ABC to triangle A"B"C" is by translating the figure 2 units to the right. Translate the figure 6 units up.

Answer 2

The sequence of transformations:

1. Reflection over the x-axis (maps ABC to ABC")
2. Reflection over the y-axis (maps ABC" to A'B'C")

Assuming the student has already performed a reflection over the x-axis, the following steps can be used to map triangle ABC onto triangle A'B'C":

Reflection over the y-axis: This will flip triangle ABC" (the reflected image of ABC) across the y-axis, resulting in triangle A'B'C".

Here's a summary of the sequence of transformations:

• Reflection over the x-axis (maps ABC to ABC")
• Reflection over the y-axis (maps ABC" to A'B'C")