Identify the transformation that maps the figure onto itself. A) rotate 180° clockwise about (5, 5) and reflect across the line y = 5 B) rotate 180° clockwise about (6, - 7) and reflect across the line x = 5 C) rotate 180° clockwise about (5, 5) and reflect across the line y = - 7 D) rotate 180° clockwise about (6, - 7) and reflect across the line y = - 7

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Mathematics

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17 April, 06:34

Identify the transformation that maps the figure onto itself. A) rotate 180° clockwise about (5, 5) and reflect across the line y = 5 B) rotate 180° clockwise about (6, - 7) and reflect across the line x = 5 C) rotate 180° clockwise about (5, 5) and reflect across the line y = - 7 D) rotate 180° clockwise about (6, - 7) and reflect across the line y = - 7

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Renee Hayden · Answer 1

It should be D.

Because (6,-7) is the center of the rectangle, when you turn 180 around it maps onto itself.

y=-7 is the line which cuts the rectangle in the middle or its axis of symmetry. When you reflect across the AoS it maps onto itself again.