Given these two sets of instructions, will you end up at the same end point if you started at the same beginning point? First instructions: 1) Take 2 steps forward 2) Turn left 3) Take 3 steps forward 4) Turn left 5) take 2 steps forward. Second instructions: 1) Turn left 2) Take 6 steps forward 3) Take 1 step backward 4) Take 2 steps backward.
Yes, you will end up at the same point for both sets of instructions. In the first set of instructions, you will go forward, to the left, and then when turn again you will be facing opposite your starting orientation. Therefore, stepping forward will take you closer to your starting point. Finally you end 3 steps to the left of your starting point. For the second set of instructions, you turn left and go forward 6 then backwards 3 altogether, ending 3 steps to the left of the starting point.