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Geometry 235 Project: Law of Syllogism Name September 26, 2008 A syllogism consists of three if-then statements. In order to be a true syllogism, the first two if-then statements must be true. The syllogism should take the form of If hypothesis p, then conclusion q. If hypothesis q, then conclusion r. If hypothesis p, then conclusion r. Several examples of syllogisms are listed below. If I do my homework, then I will get an “A”. If I get an “A”, then it will increase my GPA. If I do my homework, then it will increase my GPA. If someone has a birthday cake, then there may be candles on it. If there are candles on the cake, then they will have a chance to make a wish. If someone has a birthday cake, then they will have a chance to make a wish. If two angles are right angles, then the two angles have the same measure. If two angles have the same measure, then they are congruent. If two angles are right angles, then they are congruent. PROJECT DIRECTIONS: DUE DATE: Tuesday, September 30, 2008 You are to create an original syllogism. You must have three if-then statements that are true and follow the form listed above. You may either type your syllogism or write it clearly on a piece of computer paper. You should try to decorate your paper with illustrations that represent your syllogism. This will count as a quiz grade. Rubric for grading: 7 points for each correct if-then statement 3 points for illustrations 3 points for correct grammar and spelling 3 points for color Total points: 30