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Find the coordinates of the reflection of (2,3) across the line y=1, then across the line x=-1

User Philwb
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1 Answer

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The line y = 1 is horizontal and parallel to the x axis. If we reflect a point across the x axis, the sign of the coordinate of the x axis would remain thesame while that of the y axis changes. This means that in our image, the x coordinate would be 2. the y coordinate would be 3 - 1 = 2

The y coordinate is 2 units below the line, y = 1

Thus, it would be

1 - 2 = - 1

Thus, the coordinates of the image would be

(2, - 1)

If we reflect the image over the line, x = - 1,

x = - 1 is a vertical line that is parallel to the y axis. If we reflect across that y axis, the sign of the y coordinate remains the same while the sign of the x coordinate changes. Thus, we have

User Velina
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