WorksheetsLogic and Proof
Total questions: 42
Worksheet time: 54mins
If something is an angle, then it is acute. What is an appropriate counter-example?
70⁰
45⁰
120⁰
True. There is no counterexample.
A conjecture is:
a false example in a compound statement
a compound statement using and or nor
a concluding statement reached during inductive reasoning
an educated guess based on empirical data, collected by a calculator
Inductive Reasoning means...
Guessing
Testing and observing patterns to make conjectures
Explaining why
Adding numbers together
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy
If Bill wears a green shirt, then he will pass the test. Bill wore a green shirt.
What can you conclude?
Bill wore a green shirt.
Bill passed the test.
Nothing
Statement 1: If I study for one hour each day, then I will score well on the exam
Statement 2: I will score well on the exam
Reasoning based on facts, definitions, accepted properties, and the laws of logic is called ____________ reasoning.
Inductive
Deductive
Reasoning based on specific examples and patterns used to form conjectures is called ______________ reasoning.
Inductive
Deductive
Which of the following theorems/postulates would verify that ∠COB & ∠AOD are congruent?
Straight Angle Theorem
Congruent Compliments Theorem
Vertical Angles Theorem
Linear Pair Theorem
Which of the following statements is the inverse of
"If you do not understand geometry, then you do not know how to reason deductively."?
If you reason deductively, then you understand geometry.
If you understand geometry, then you reason deductively.
If the do not reason deductively, then you understand geometry.
If you understand geometry, then you do not know how to reason deductively.
Which of the following statements is the contrapositive of
"If you understand logic, you will be a good consumer."?
If you are a good consumer, then you understand logic.
If you are not a good consumer, then you do not understand logic.
If you do not understand logic, then you will not be a good consumer.
If you understand logic, you will not be a good consumer.
Deductive reasoning is the type of reasoning used when people make conjectures.
True
False
Choose reason 2, 3 and 4. (In order)
Hint: Complete the entire table first !
Reflexive property, Subtraction property and addition property.
Subtraction property, substitution and reflexive property
Subtraction property, addition property and division property
Reflective property, addition property and division property
If two angles form a linear pair, what can you conclude about the angles?
The two angles are congruent.
The two angles are complementary.
The two angles are supplementary.
The two angles are right angles.
Fill in the blank to give a reason for the statement below. You may refer to the Properties of Equality shown.
If m∠1=m∠2 and m∠2=m∠3, then m∠1=m∠3
by the__________ property of equality.
addition
subtraction
symmetric
transitive
multiplication
What is this? ¿Que es esto?
Conditional statement Enunciado condicional
Inverse Inversa
Converse Conversa
THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS! ESTA ES UNA CLASE DE GEOMETRIA !!! ¡DAME NÚMEROS!
What is q → p? ¿Qué es q → p?
conditional enunciado
converse conversa
inverse inversa
contrapositive contrapositiva
What is ~p → ~q? ¿Qué es ~ p → ~ q?
conditional enunciado
converse conversa
inverse inversa
contrapositive contrapositiva
What is ~q → ~p? ¿Qué es ~ q → ~ p?
conditional enunciado
converse conversa
inverse inversa
contrapositive contrapositiva
Which of the following is used to prove that a conjecture is false? ¿Cuál de las siguientes opciones se usa para probar que una conjetura es falsa?
Counterexample Contraejemplo
Inductive Reasoning Razonamiento inductivo
Concluding statement Declaración final
Conjecture Conjetura
C is the midpoint of segment AB
2(x + 3) = 2x + 6
If PQ = RS then RS = PQ
Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.
If the measures of the angles are equal, then the angles are congruent.
"If angles are not congruent, then the measures of the angles are not equal."
If the measures of the angles are not equal, then the angles are not congruent.
If the angles are not congruent, then the measure of the angles are equal.
