| Chapter 2.1 | Chapter 2.2 | Chapter 2.3 | Chapter 2.4 |
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17
What is the next number in the pattern? 1,5,9,13
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If x=6, then x^2=36
What is the conditional statement in if-then form? When x=6, x^2=36
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No x>12
Is the statement true or false? If x>12, then -x<-12 the value of x is only 15
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false
Is the statement true or false? Through any three points there exists exactly one line
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. Sample Answer: (3+4)^2=7^2=49 is not equal to 3^2+4^2=9+16=25
What is the counter example of, “The product (a+b)^2 is equal to a^2+b^2, for a is not equal to 0 and b is not equal to 0
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If a person is allowed to vote, then they are registered to vote.
What is the conditional statement in if-then form? Only people who are registered are allowed to vote.
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angle 1 is equal to angle 2
If two angles are vertical angles, then they have the same measure. You know that angle 1 and angle 2 are vertical angles. Using the Law of Detachment, which conclusion could you make?
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false
Is the statement true or false? Any two planes intersect
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Sample Answer: 3•6=18
What is the counter example of, “If the product of two numbers is even, then the two numbers must both be even.
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false
Is the statement true or false? If a polygon has five sides, then it is a regular pentagon
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You will get a raise if the revenue is greater than its cost
What conclusions can you make from the statement? The bakery makes a profit if it’s revenue is greater than its costs. You will get a raise if the bakery makes a profit.
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true
Is the statement true or false? A point can be in more than one plane
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y=2x
What is the function rule relating x and y?
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false
Is the statement true or false? Supplementary angles are always a linear pair.
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Deductive; laws of logic were used to reach the conclusion
Decide weather inductive or deductive reasoning. The rule at your school is that you must attend all of your classes in order to participate in sports. You played a soccer game after school on Monday. Therefore you went to all your classes.
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Sample Answer: A stoplight with a red, yellow, and green light.
Give a real-world example that proves that each line.
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3
What is the first number in the pattern? __ __ __ 81; 243; 729
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valid definition
Determine whether the statement is a valid definition. If the sides of a triangle are all the same length, then the triangle is equilateral.
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True and deductive reasoning
Use the statement to figure out if the conclusion is true and what type of reasoning you used. If Arlo goes to the baseball game he will buy a hot dog
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They must be collinear
Points E, F, and G all lie in plant P and in Plane Q. What must be true about points E, F, and G if P and Q are different planes? What are must be true about points E, F, and G to force P and Q to be the same plane?
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