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Which of the following transformations will make coincide with ?


A.Counter-clockwise rotation 90º about A, followed by a translation 5 units to the right
B.Translation 5 units to the right, followed by a reflection across the y-axis
C.Translation 5 units to the right, followed by a reflection across the x-axis
D.Translation 1 unit up and 5 units to the right, followed by a reflection across the x-axis

Which of the following transformations will make coincide with ACounterclockwise rotation 90º about A followed by a translation 5 units to the right BTranslatio class=

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Answer:

D. Translation 1 unit up and 5 units to the right, followed by a reflection across the x-axis

Step-by-step explanation:

→ Point B moves up to [-2, -4]

Translation up:

→ Point A moves up to [-5, -1]

→ Point B moves up to [3, -4]

Translation to the right:

→ Point A moves up to [0, -1]

→ [3, -4] >> B'[3, 4]

Reflections:

→ [0, -1] >> A'[0, 1]

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