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summerarellanoo
07.03.2020 •
Mathematics
Suppose a linear transformation Upper T : Bold Upper R squared right arrow Bold Upper R squared is formed by taking a rotation counterclockwise of 180 degrees, followed by a reflection across the Bold x 2-axis. Describe the points that will be moved back to their original position by this transformation?
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Ответ:
All points on line x+y = 0 or x-y=0 will satisfy the transformation.
Step-by-step explanation:
Let (x, y) be the general such point.
Hence rotating it by 180 deg. counterclockwise will give us (-y,-x).
Reflecting (-y,-x) on x axis gives us (-y,x).
Hence if (x,y) = (-y,x) then all ( x, y) where x = -y or x+y = 0 or x=y or x-y=0 will satisfy this condition.
All points on line x+y = 0 or x-y=0 will satisfy the transformation.
Ответ:
idk
Step-by-step explanation: