Intersection

var config = {
    width: 800,
    height: 600,
    type: Phaser.AUTO,
    parent: 'phaser-example',
    scene: {
        create: create
    }
};

var game = new Phaser.Game(config);

function create ()
{
    var graphics = this.add.graphics();

    var rectA = new Phaser.Geom.Rectangle(0, 0, 300, 100);
    var rectB = new Phaser.Geom.Rectangle(150, 300, 500, 150);
    var rectC = new Phaser.Geom.Rectangle();

    graphics.lineStyle(1, 0xff0000);
    graphics.strokeRectShape(rectA);

    graphics.lineStyle(1, 0x00ff00);
    graphics.strokeRectShape(rectB);

    this.input.on('pointermove', function (pointer) {

        graphics.clear();

        Phaser.Geom.Rectangle.CenterOn(rectA, pointer.x, pointer.y);

        Phaser.Geom.Rectangle.Intersection(rectA, rectB, rectC);

        graphics.lineStyle(1, 0xff0000);
        graphics.strokeRectShape(rectA);
    
        graphics.lineStyle(1, 0x00ff00);
        graphics.strokeRectShape(rectB);

        if (!rectC.isEmpty())
        {
            graphics.lineStyle(1, 0xffff00);
            graphics.strokeRectShape(rectC);
        }
    
    });
}