Answer:
The coordinates of pre-image are (-9,4).
Step-by-step explanation:
The image of a point is given by the rule
[tex]R_{y=-x}(x,y)\rightarrow (-4,9)[/tex] ..... (1)
It means the point is reflected about the line y=-x.
Let the coordinates of its pre-image are (x,y).
If a point reflected about the line y=-x, then
[tex](x,y)\rightarrow (-y,-x)[/tex] .... (2)
Compare the image points.
[tex](-y,-x)=(-4,9)[/tex]
On comparing both the sides we get,
[tex]-y=-4\Rightarrow y=4[/tex]
[tex]-x=9\Rightarrow x=-9[/tex]
Therefore the coordinates of pre-image are (-9,4).
The coordinates of its pre-image = A (-9.4)
Transformation is a change in shape or change in location from a building to another build.
A build can be changed in shape or location using transformation
There are several forms of transformation, including translation, dilation, rotation or reflection.
Reflection from a point or shape is a reflection of a point or shape to a certain line called the mirror axis
A point A (x, y) is reflected on the line y = -x so that the shadow of point
A '(x', y ') is obtained. The relationship between these two points is determined by:
x '= -y
y '= -x
A (x, y) --- (y = -x )---> A '(- y, -x)
y = –x (x, y) --> (–4, 9).
A shadow of point A '(- 4.9) which is reflected by the line y = -x, the starting point of the relation formula above is:
x '= -y
-4 = -y
4 = y
and
y '= -x
9 = -x
-9 = x
So the starting point = A (-9.4)
Compare a dilation to the other transformations
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Point H (2, 5) is reflected across the y-axis
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a dilation of quadrilateral
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Keywords: transformation, translation, dilation, rotation reflection
