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Need help with reflection

Need help with reflection-example-1
User Rajat S
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Answer:

(1,6)

Explanation:

In this question, the point (1,2) is first reflected on the line y=0 then followed by line y=2

In the first reflection, y=0, the line is the x-axis, so the point (1,2) is reflected on the x-axis. The law here is that reflection of a point (x,y) on the x-axis, will result to an image of (x,-y)

The point is (1,2), its image will be (1,-2)

The new image (1, -2) is then reflected on the line y=2 but you should be aware that the x-coordinate will remain the same, but the y-coordinate will change. This is to say that the y coordinate value will shift the same number of units above the line y=2 as it is below the line y=2

Point (1,-2) reflected on line y=2 will result to an image (1,6). The x-coordinate value has remained the same, where as the y coordinate value has shifted 4 units above the line y=2 because it was 4 units below the line y=2.

Final image will be (1,6)

User Brianolive
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