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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. Problem #4.
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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.
Problem #4 Complete the table, find the nth term in the sequence, and then find the 100th term.
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 x = 10 Name the property shown above.
Problem #9 Write a 2 column proof: Given: KM = 35 Prove: KL = 15 K M L
Problem #10 The measure of an angle is 52 more than the measure of its complement. What is the measure of the angle?
Answers • 180° • Congruent • x = 6; 38°, 142°, 38°, 142° • 26, 31; 5n + 6; 506 • Inductive: Reasoning from patterns of examples Deductive: Reasoning from given facts • They are both right angles. • 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. • Multiplication Property of Equality (x2) • See next slide • 71°
#9 Proof Statements • KM = 35 • KL + LM = KM • 2x – 5 + 2x = 35 • 4x – 5 = 35 • 4x = 40 • x = 10 • KL = 2(10) – 5 • KL = 15 Reasons • Given • Segment Addition Postulate • Substitution • Combine Like Terms • Addition Property of Equality • Division Property of Equality • Substitution • Simplify