Parallel Game 2
- Author:
- Derek Carlisle
Instructions
The game is made to be played right in the online applet, but you may print the board and play with tokens as well. If there are two players it may be easier to use one computer for the game board and another for the spinner. The spinner also works well on a tablet or mobile device.
Spinner: https://www.flippity.net/rp.asp?k=1d0uILXoBBuLcLbf-DJfTyl7E8t1yLOXk4iuVYq8HKgU
Instructions:
For 1-3 players, choose your game piece in the lower left hand corner. This is the normal starting position, but you can choose another starting position if you like. Your goal is to get your game piece to the red X that is marked “finish.” To begin, the only thing you know about the game board is that similarly colored angles are congruent and angles with the red squares are 90o. You must prove anything else you need to know.
To start, the youngest player goes first, followed by the next youngest, and so on. You will continue to follow this order throughout the game. The first player to move their piece into the angle marked “finish” is the winner. The first player starts their turn by activating the spinner to select a move. There may be more than one legal move based on the spinner choice, and you can choose any of them. If you can make a legal move you must do so, even if the only legal move takes you further from the finish. If there are no legal moves then the player forfeits his or her turn.
**Once per game each player may take the opportunity to re-spin the wheel on their turn**
(there are a couple places where you can only advance through the board with the "adjacent" move)
Making a move:
The spinner has four unique moves, Alternate, Supplementary (Supp), Corresponding (Corr), and Equal. It also has two spots marked Adjacent. If the spinner lands on “Adjacent” you may move your piece to any angle that shares a common vertex OR a common leg, there are often many possible moves. For any other position on the spinner you must first declare which set of parallel lines and transversal you are choosing to work with for this turn, you may only choose one set per turn. Next, you must state how you know that your chosen set of parallel lines is actually parallel. It may be beneficial for players to use a piece of paper to keep track of lines and moves, an example is given below. Finally, you may make the move shown on the spinner. This means that you move your piece to an appropriate angle based on the results of the spinner and your declared parallel lines and transversal. You can only move to an angle that is defined by your chosen set of parallels and transversal. For example, if the spinner reads “Equal,” you cannot move to any angle on the board that is equal to your current angle, even if you can prove it; you can only move to an equal angle as defined by and included in your set of parallel lines and transversal. Also, the spinner terms “Alternate” and "Same Side" may refer to interior or exterior angles of your choosing based on your set of parallel lines and transversal.
Table example is in google Doc:
https://docs.google.com/document/d/17bIhTbtG2m1_rTwOf-E5Lnm927YdbcqxNwWoE7uhJSc/edit?usp=sharing