Reasoning in Algebra and Geometry

Which property says -7(x - 4) = -7x + 28?

• Addition Property

• Multiplication Property

• Division Property

• Distributive Property

Which reason justifies the statement below?
If MN = PQ, then MN ≅ PQ.

• Definition of Congruence

• Definition of Midpoint

• Reflexive Property

• Symmeric Property

Which is the correct reason for statements 2 and 4 in the proof?

• Corresponding Angles

• Substitution

• Definition of Congruent Angles

• Vertical Angles are congruent.

Solve for x.

• 2

• 3

• 4

• 9

If angles are congruent, then the measures of the angles are equal. Identify the contrapositive.

• 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.

What allows you to say that AM = AM?

• Symmetric Property

• Reflexive Property

• Transitive Property

• Identity Property

Which is the best choice for STATEMENT 2?

• DE = EF

• DE = DF

• EF = DF

• EF=EF

What is the reason for step 2?

• Substitution property (simplify)

• Multiplication property of equality

• Division property of equality

• Distributive Property

What is reason 5?

• Transitive Property

• Reflexive Property

• Symmetric Property

• Reverse Property

• a. Combine Like Terms b. Addition Property c. Division Property

• a. Addition Property b. Addition Property c. Division Property

• a. Addition Property b. Subtraction Property c. Division Property

• a. Subtraction Property b. Addition Property c. Division Property