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Which graph below shows that ΔABC is congruent to ΔA'B'C' by a reflection?
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A
.
The graph shows a triangle with vertices A at (-9, 3), B at (-6, 8), and C at (-6, 3). The other triangle with vertices A prime at (3, -9), B prime (8, -6), and C prime at (3, -6).
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B.
The graph shows a triangle with vertices A at (-9, 3), B at (-6, 8), and C at (-6, 3). The other triangle with vertices A prime at (-3, -9), B prime (-8, -6), and C prime at (-3, -6).
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C.
The graph shows a triangle with vertices A at (-9, 3), B at (-6, 8), and C at (-6, 3). The other triangle with vertices A prime at (6, 3), B prime (9, 8), and C prime at (9, 3).
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D.
The graph shows a triangle with vertices A at (-9, 3), B at (-6, 8), and C at (-6, 3). The other triangle with vertices A prime at (-4.5, 1.5), B prime (-3, 4), and C prime at (-3, 1.5).
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GPT-5 mini
AI
A.
Each prime point is the original point with coordinates swapped: A(-9,3) -> A'(3,-9), B(-6,8) -> B'(8,-6), C(-6,3) -> C'(3,-6). That is the reflection across the line y = x (mapping (x,y) → (y,x)).
Each prime point is the original point with coordinates swapped: A(-9,3) -> A'(3,-9), B(-6,8) -> B'(8,-6), C(-6,3) -> C'(3,-6). That is the reflection across the line y = x (mapping (x,y) → (y,x)).
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