The reflection of the point p over the line is by convention named p pronounced p prime and is called the image of point p.
Image point definition math.
X y is a function from the set x to the set y.
Learn about reflection in mathematics.
Illustrated definition of point.
A reflection of a point a line or a figure in the y axis involved reflecting the image over the y axis to create a mirror image.
The image of a subset a x under f denoted.
Reflection over the y axis.
In these definitions f.
What is a point in math.
Preserved property under a transformation a property which if present in a preimage is present in the image.
A dilation is a type of transformation that changes the size of the image the scale factor sometimes called the scalar factor measures how much larger or smaller the image is below is a picture of each type of dilation one that gets larger and one that gest smaller.
In the figure above click show distances.
Angles are also named according to their points.
If x is a member of x then the image of x under f denoted f x is the value of f when applied to x.
The picture below shows a dilation with a scale factor of 2.
Drag the point p to see this.
F x is alternatively known as the output of f for argument x.
Definition example 2 14.
You can see that by definition the point p image of p is the same distance from the line as p itself.
The word image is used in three related ways.
Image definition a physical likeness or representation of a person animal or thing photographed painted sculptured or otherwise made visible.
In this case they axis would be called the axis of reflection.
Points a b c are the images of points a b and c respectively.
Image of a subset.
In the example shown below triangle a b c is the image of triangle a b c after translation.
It has no size only position.
Every point is the same distance from a central line.
In this image of an angle the points of the angle are x y and z making it angle xyz.
The new position of a point a line a line segment or a figure after a transformation is called its image.
Preimage point a point to which a transformation has been applied.
Preimage the original figure in a transformation.