In the x-y plane, point (x, y) is a lattice point if both x and y are integers.
In the x-y plane, point (x, y) is a lattice point if both x and y are integers. A square has a center at (0, 0) and side = 4. Some points, such as the center (0, 0), are inside the square, but a point such as (0, 2) is on the square but not in the square. How many lattice points are in the square?
Answer/Solution
9
Steps/Work
The lattice points that are in the square, that lie on the x and y axes, are (0, 0), (0, 1), (1, 0), (0, -1), and (-1, 0).The lattice points in the square and not on the x and y axes are (1, 1), (-1, 1), (1, -1), and (-1, -1).
There are a total of 9 lattice points in the square.
Answer: B
There are a total of 9 lattice points in the square.
Answer: B