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How do you connect 9 dots only using 4 straight lines and not going over the same line twice?
To facilitate the description of this solution, let us give each of the 9 dots arranged in a 3 by 3 grid a number from 1 to 9:
1 2 3
4 5 6
7 8 9
Draw the first line beginning at dot 1 and continuing diagonally down and right, pass through dot 5 to reach dot 9.
From dot 9, the second line is drawn upwards, passing through dot 6 and dot 3 to end above dot 3.
The key to solving this puzzle with 4 straight lines joined continuously -- often described as "drawn without lifting the pencil off the paper" -- is to end the second line far enough above dot 3 that the third line drawn diagonally down and left will pass through dots 2 and 4, ending left of and level with dot 7.
Finally, the fourth and last line is drawn horizontally across to the right, passing through dots 7 and 8, ending back at dot 9.
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You start by drawing a line upwards then you draw a line to the right, then draw a line straight down, then draw a line to the left. These 4 lines form a perfect square. To connect the fifth dot you draw a diagonal line from the bottom left corner of the square (where you left off) to the top right hand corner. You then draw a line in a Northwest direction about half the length of the rest of the lines to arrive at the fifth dot. You then draw a line from this dot to the dot at the top left corner of the square.
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