The word image is used in three related ways.
Image point definition math.
Image of a subset.
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 definition a physical likeness or representation of a person animal or thing photographed painted sculptured or otherwise made visible.
Reflection over the y axis.
In these definitions f.
In the figure above click show distances.
Image of an element.
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.
Illustrated definition of point.
F x is alternatively known as the output of f for argument x.
You can see that by definition the point p image of p is the same distance from the line as p itself.
In this image of an angle the points of the angle are x y and z making it angle xyz.
Drag the points below they are shown as dots so you can see.
Angles are also named according to their points.
X y is a function from the set x to the set y.
Learn about reflection in mathematics.
Every point is the same distance from a central line.
Preimage point a point to which a transformation has been applied.
Points a b c are the images of points a b and c respectively.
The picture below shows a dilation with a scale factor of 2.
X y is any function not necessarily invertible the preimage or inverse image of an element is the set of all elements of x that map to y.
The new position of a point a line a line segment or a figure after a transformation is called its image.
Definition example 2 14.
Preimage the original figure in a transformation.
It has no size only position.
In this case they axis would be called the axis of reflection.
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 example shown below triangle a b c is the image of triangle a b c after translation.
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.
What is a point in math.
