Question

The triangles shown are congruent by the SSS congruence theorem.

3 rigid transformations are shown. Triangle A B C is first rotated about point C to form triangle A prime B prime C. Triangle A prime B prime C is then shifted down to form triangle A double-prime B double-prime C prime. Triangle A double-prime B double-prime C prime is reflected across A double-prime B double-prime to form triangle A double-prime B double-prime C double-prime

The diagram shows the sequence of three rigid transformations used to map TriangleABC onto TriangleA"B"C". What is the sequence of the transformations?

rotation, then reflection, then translation
rotation, then translation, then reflection
translation, then reflection, then rotation
translation, then rotation, then reflection

Answer 1

To determine the correct sequence of the transformations used to map Triangle ABC onto Triangle A"B"C", let's summarize the transformations involved:

1. **Rotation**: Triangle ABC is first rotated around point C to form Triangle A'B'C.
2. **Translation**: Triangle A'B'C is then translated downward to form Triangle A''B''C'.
3. **Reflection**: Finally, Triangle A''B''C' is reflected across line A''B'' to form Triangle A''B''C''.

The correct sequence of transformations is:

**Rotation, then translation, then reflection.**

So the answer is:

**rotation, then translation, then reflection.**