Creating Squares
- Author:
- Tim Brzezinski
- Topic:
- Algebra, Geometry, Parallelogram, Quadrilaterals, Rectangle, Rhombus, Square
Creation of this problem was inspired by an Open Middle problem submitted by John Mahlstedt. Even though this problem is different from his submitted problem, they both share a common theme.
DIRECTIONS:
Move the vertices of the quadrilateral below so that the following conditions are met:
1) No 2 coordinates have the same absolute value.
2) The absolute values of all coordinates are integers ranging from 0 to 9.
3) The quadrilateral formed is a square.
Once you form a quadrilateral that meets all these conditions, you'll see a SQUARE! sign appear.
How many different setups can you create?
Suppose the applet above didn't indicate to you that your quadrilateral was a square. How could you prove this using coordinate geometry? Do so below.
Suppose the applet above didn't indicate to you that your quadrilateral was a square. How could you prove this using coordinate geometry? Do so below.