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Geometry Poker Problem #1 If two angles form a linear pair of angles, then the sum of their measures is __________. Problem #2 If two angles are vertical angles, then they are ______________. Problem #3 Find x. Then, find the measure of each angle. (3 + 20)° (5 + 8)° Problem #4 Complete the table, find the nth term in the sequence, and then find the 100th term. Term 1 Value 11 2 16 3 21 4 5 … n Problem #5 What is the difference between inductive and deductive reasoning? Problem #6 If two congruent angles are supplementary, then what must be true of each angle? Problem #7 Rewrite this biconditional as two conditionals. A fish is a bluegill if and only if it is a bluish, freshwater sunfish. Problem #8 1 =5 2 x = 10 Name the property shown above. Problem #9 Write a 2 column proof: Given: KM = 35 Prove: KL = 15 2 − 5 K L 2 M Problem #10 The measure of an angle is 52 more than the measure of its complement. What is the measure of the angle? Answers 1. 180° 6. They are both right angles. 2. Congruent 7. 3. x = 6; 38°, 142°, 38°, 142° 4. 26, 31; 5n + 6; 506 If a fish is a bluegill, then it is a bluish, freshwater sunfish. If a fish is a bluish, freshwater sunfish, then it is a bluegill. 5. Inductive: Reasoning from patterns of examples 8. Multiplication Property of Equality (x2) Deductive: Reasoning from given 9. See next slide facts 10. 71° #9 Proof Statements Reasons 1. KM = 35 1. Given 2. KL + LM = KM 2. Segment Addition Postulate 3. 2x – 5 + 2x = 35 3. Substitution 4. 4x – 5 = 35 4. Combine Like Terms 5. 4x = 40 5. Addition Property of Equality 6. x = 10 6. Division Property of Equality 7. KL = 2(10) – 5 7. Substitution 8. KL = 15 8. Simplify