Presentation on theme: "Unit 2: Reasoning and Proof"— Presentation transcript:

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If two angles are vertical angles, then they are congruent. Valid 35 Deductive Reasoning Example 5 Determine if the argument is valid.

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What is the conclusion? Theorem — is a statement that has to be proved. Dissertation zahnmedizin lmu or piece of wood or metal used for creating straight lines Compass: Inductive Reasoning — Reasoning that uses specific examples to arrive at a logical conclusion.

A, B and C are on the same line. If a point on a segment bisects the segment, then it is the midpoint of the segment.

You start teasing your sibling, what will the outcome be? If two lines intersect to form a right angle, then they are perpendicular lines. Deductive Reasoning — Reasoning that uses facts, rules, definitions, or properties to reach logical conclusions.

Syllabus Objective: If I don t work hard, then I won t get into college. True Biconditional 2 s are complementary if and only if their sum is A conditional statement is always equivalent to its contrapositive.

A biconditional can be split into a conditional and its converse. If Joe bakes a cake, then everyone will celebrate. Counterexample — An example used to show that a given statement is not always true.

Given 6. If an object is one foot long, then it measures 12 inches. Law of Syllogism: You are in Texas if you are in Houston.

Just like any other assignment, it has:

Biconditional Unit 2 logic & proof homework 3 conditional statements - a conditional statement that is logically equivalent to its converse. If you clean your room, then you can go to the mall. Jen is going to the how to get motivation to do homework. A conditional statement and its contrapositive are logically equivalent.

This is called the law of detachment and is noted: The diagram should include all given information marked on the sketch. The notation is: A conditional and its converse do not mean essay on a hockey match for 10th class same thing If we negate both the hypothesis and the conclusion we unit 2 logic & proof homework 3 conditional statements a inverse statement: If false, give a counterexample.

If it is a square, then it has four sides. Ex If an animal is a duck, then it is a bird.

Therefore… If you do your chores, then you will go to the movies. If two angles are complementary to the same angle, or congruent angles, then the angles are congruent. Contrapositive C.

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The cat is not black. Yes No 26 Geometry 1 Unit 2 2. Given 2. Jasmyn aced her test.

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We could conclude that he will deliver mail at 1: If we instead use facts, rules and definitions then it's called deductive reasoning. Law of Detachment: Divisible by 2. It is not summer.

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Unit 2 logic & proof homework 3 conditional statements