if trapezoid ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A’lie
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Answer:
Answer: (second option) (-4,1)
Step-by-step explanation:
Transformations of Points and Shapes
The image shows a trapezoid ABCD where point A has coordinates (-4,1).
The following transformations are performed:
Reflection over the y-axis: If a point (x,y) is reflected over the y-axis, it becomes (-x,y). Thus point A becomes A'=(4,1)
Reflection over the x-axis: If a point (x,y) is reflected over the x-axis, it becomes (x,-y). Thus point A' becomes A''=(4,-1)
Rotation 180°: If a point (x,y) is rotated 180°, it becomes (-x,-y). Thus point A'' becomes A'''=(-4,1)
Answer: (second option) (-4,1)