A line segment has endpoints at (–4, –6) and (–6, 4). Which reflection will produce an image with endpoints at (4, –6) and (6, 4)?
a reflection of the line segment across the x-axis
a reflection of the line segment across the y-axis
a reflection of the line segment across the line y = x
a reflection of the line segment across the line y = –x
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a reflection of the line segment across the x-axis
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Step-by-step explanation:
A reflection of the line segment across the y-axis will produce an image whose endpoints are at (4, -6) and (6, 4) respectively.
Although I am unable to draw the lines and create two line segments, the image attached below shall provide the reason as to why the line segment should be reflected across the y-axis.
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