ΔABC will undergo two transformations to give ΔA′B′C′. Which pair of transformations will give a different image of ΔABC if the order of the transformations is reversed? A. a rotation 90° counterclockwise about the origin followed by a reflection across the y-axis B. a translation 5 units down followed by a translation 4 units to the right C. a reflection across the x-axis followed by a reflection across the y-axis D. a rotation 180° clockwise about the origin followed by a reflection across the y-axis
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Answer : Option A
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: A. a rotation 90° counter clockwise about the origin followed by a reflection across the y-axis. See below picture, Case 1 is the first order while in case 2 the order of two transformations have been changed. Both cases are different as can be seen in pic.
So form the picture it is clear that the correct answer is option A all other possibilities are not correct according to the situation given in question
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a rotation 90° counterclockwise about the origin followed by a reflection across the y-axis
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