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On a coordinate plane, 3 triangles are shown. Triangle A B C has points (5, 2), (2, 4), (2, 1). Triangle A prime B prime C prime has points (negative 2, 5), (negative 4, 2), (negative 1, 2). Triangle A double-prime B double-prime C double-prime has points (negative 2, negative 5), (negative 4, negative 2), (negative 1, negative 2).
Which rule describes the composition of transformations that maps ΔABC to ΔA"B"C"?
90 degree rotation about point 0 composition reflection across the x-axis
Reflection across the x-axis composition 90 degree rotation about point 0
180 degree rotation about point 0 composition reflection across the x-axis
Reflection across the x-axis composition 180 degree rotation about point 0
Which rule describes the composition of transformations that maps ΔABC to ΔA"B"C"?
90 degree rotation about point 0 composition reflection across the x-axis
Reflection across the x-axis composition 90 degree rotation about point 0
180 degree rotation about point 0 composition reflection across the x-axis
Reflection across the x-axis composition 180 degree rotation about point 0
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Answered by
GPT-5 mini
Reflection across the x-axis composition 90° rotation about the origin.
Reason: (5,2) → rotate 90° CCW about (0,0) → (−2,5), then reflect across the x-axis → (−2,−5). The other vertices match similarly, so perform the 90° rotation first, then the reflection.
Reason: (5,2) → rotate 90° CCW about (0,0) → (−2,5), then reflect across the x-axis → (−2,−5). The other vertices match similarly, so perform the 90° rotation first, then the reflection.
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