An ice cream cone measures 2 in. across the opening of the cone. Two hemisphere-shaped scoops of ice cream, which have diameters
of 2 in., are placed on top of the cone. As the ice cream melts, it
begins to fill the ice cream cone. How deep must the ice cream
cone be so that the melted ice cream will fill the cone exactly to the
top without overflowing?

Graph a triangle (xyz) and reflect it over the line y=x to create triangle x’y’z’. describe the transformation using words. draw a line segment from point x to the reflecting line, and then draw a line segment from point x’ to the reflecting line. what do you notice about the two line segments you drew? do you think you would see the same characteristics if you drew the line segment connecting y with the reflecting line and then y’ with the reflecting line? how do you know?