Answer :
A rotation 90 can be represented by the formula (x,y)—>(-y,x)
(3,0)
3 is the x point. 0 is the y point. Replace these two points (swap them)
0•-1 is 0, so the x coordinate is 0
The y coordinate is 3
(0,3)
(3,0)
3 is the x point. 0 is the y point. Replace these two points (swap them)
0•-1 is 0, so the x coordinate is 0
The y coordinate is 3
(0,3)
The required coordinate of Y if the sequence of transformations, R90° ° Tx-axis, is applied to ΔXYZ to produce ΔX''Y''Z'is (0, 3)
Transformation is a means of changing the location of an object on a xy-plane and preserving the coordinate points.
If a coordinate (x, y) is transformed by 90°, the resulting coordinate will be
(-y, x)
Given the coordinate Y''(3, 0) of a triangle X"Y"Z". Of the coordinate is transformed by 90degrees, the resulting coordinate will be (0, 3).
Note that the y-coordinate was first negated and then the coordinates were interchanged.
Hence the required coordinate of Y is (0, 3)
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