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Home > CC1 > Chapter 6 > Lesson 6.2.3 > Problem 6-97


Jack and Jill are playing a Mystery Game. They are trying to get four tiles of the same color in a row, column, or diagonal. Four in a row wins the game.

  1. List the coordinates of the points that they have already played, as shown at right.

    Remember that an ordered pair is (x, y).

  2. Give two more points, one to Jack and one to Jill, so that either one might win.

Location of points relative to the origin as follows: 3 of Jack's points are 1 right, with 1 each at 2, 3, and 4 up. Jill has 1 point 1 right and 5 up. On the line 2 right, Jack has a point at 3 up, and Jill at 4 up. On the line 3 right, Jill has a point 3 up, and Jack 4 up. On the line 4 right, Jill has 2 points, 3, and 4 up. Jill has her last point 5 right and 3 up.

  • Some of the points that Jack and Jill could use to win are shown at right.
    Can you find others? Remember to name the ordered pairs!

The following highlighted points are added to the graph: (1, comma 1), (4, comma 2), and (4, coma 5).