Logic Statements and Algebraic Proofs Practice

Identify the property used here:

<B=<B

• Reflexive Property

• Addition Property

• Substitution Property

• None of the above

Step 2 is what

• Substitution property (simplify)

• Multiplication property of equality

• Division property of equality

• Distributive Property

Identify the property of equality.
If 9=x, then x=9

• Reflexive

• Symmetric

• Transitive

• Substitution

What is the fifth Reason?

• Symmetric Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

Name the Property that this statement illustrates:

If x = y, then 3x = 3y.

• Multiplication Property Of Equality

• Addition Property Of Equality

• Symmetric Property Of Equality

Name the property that this statement illustrates:

If g = h, then h = g.

• Symmetric Property Of Equality

• Subtraction Property Of Equality

For any numbers a, b, and c, if a = b and b = c, then a = c.

• Transitive Property         

• Symmetric Property

• Reflexive Property

• Substitution Property

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.

Using the Law of Syllogism, write a new conditional statement that follows from the pair of true statements. If you study, then you will pass the test. If you pass the test, then you will pass the class.

• If you study, then you will pass the class.

• If you pass the test, then you should study.

• If you pass the class, then you will pass the test.

• If you study, then you will pass the test.

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