Question

What is the sequence of transformations that maps △ABC to △A′B′C′?

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Two triangles on the coordinate plane. Triangle A B C has vertex A at negative 1 comma 1, vertex B at negative 3 comma 5, and vertex C at negative 6 comma 5. Triangle A prime B prime C prime has vertex A prime at 1 comma 5, vertex B prime at 5 comma 3, and vertex C prime at 5 comma 0.

Answer 1

Step 1: Reflection across the line y = x
Step 2: Translation up 6 units (translation by vector <0, 6>)

Check: reflecting A(−1,1) across y = x gives (1,−1); translating up 6 gives (1,5) = A'. The same happens for B and C (B → (5,−3) → (5,3), C → (5,−6) → (5,0)).