Question: Code an application class (i.e., a class containing a main method), named PointApp that reads point data from the file points.text. This data is then

Code an application class (i.e., a class containing a main method), named PointApp that reads point data from the file points.text. This data is then used to create pairs of Point objects which are then used to flex (i.e, illustrate) the methods of the class. USING THESE METHODS

Point add(Point otherPoint) Returns the result of adding two points
double distance(Point otherPoint) Returns the distance between two points
boolean equals(Point otherPoint) Returns the result of checking the equality of two point -- two points are equal if their x and y coordinates are equal
Point originReflection() Returns the point obtained by a reflection of this point through the origin
int quadrant() Returns the quadrant (1, 2, 3, 4, or 0) that this point resides in
static Point read(java.util.Scanner scanner) Returns a newly created Point object initialized with x,y values read from the scanner
java.lang.String toString() Returns a string representation of the point in the form (x, y)
Point xReflection() Returns the point obtained by a reflection of this point across the x-axis
Point yReflection() Returns the point obtained by a reflection of this point across the y-axis

The format of the points.txt file is:

x1 y1 x2 y2  

i.e., pairs of x/y coordinates, resulting in data for 2 Point objects per line.

The name of your class should be PointApp.

For example, if the file points.text contains:

0 0 1 1 1 1 1 -1 1 1 -1 1 1 1 -1 -1 0 0 0 0 1 1 1 1 1 1 -2 -2 

the program should produce exactly the following output:

p1: (0, 0) (quadrant 0) / p2: (1, 1) (quadrant 1) p1+p2: (1, 1) (quadrant 1) The distance between (0, 0) and (1, 1) is 1.4142135623730951 p1: (1, 1) (quadrant 1) / p2: (1, -1) (quadrant 4) p1+p2: (2, 0) (quadrant 4) p1 and p2 are reflections across the x-axis p1 and p2 are equidistant from the origin The distance between (1, 1) and (1, -1) is 2.0 p1: (1, 1) (quadrant 1) / p2: (-1, 1) (quadrant 2) p1+p2: (0, 2) (quadrant 0) p1 and p2 are reflections across the y-axis p1 and p2 are equidistant from the origin The distance between (1, 1) and (-1, 1) is 2.0 p1: (1, 1) (quadrant 1) / p2: (-1, -1) (quadrant 3) p1+p2: (0, 0) (quadrant 0) p1 and p2 are reflections through the origin p1 and p2 are equidistant from the origin The distance between (1, 1) and (-1, -1) is 2.8284271247461903 p1: (0, 0) (quadrant 0) / p2: (0, 0) (quadrant 0) p1+p2: (0, 0) (quadrant 0) p1 and p2 are reflections across the x-axis p1 and p2 are reflections across the y-axis p1 and p2 are reflections through the origin p1 and p2 are equidistant from the origin The distance between (0, 0) and (0, 0) is 0.0 p1: (1, 1) (quadrant 1) / p2: (1, 1) (quadrant 1) p1+p2: (2, 2) (quadrant 1) p1 and p2 are equidistant from the origin The distance between (1, 1) and (1, 1) is 0.0 p1: (1, 1) (quadrant 1) / p2: (-2, -2) (quadrant 3) p1+p2: (-1, -1) (quadrant 3) The distance between (1, 1) and (-2, -2) is 4.242640687119285

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