Geometry Algebraic Proof

Which is the best choice for STATEMENT 2?

• DE = EF

• DE = DF

• EF = DF

• EF=EF

Choose a Conclusion and a Justification that fit the Given.

• Angles 8 and 9 are congruent

• Angles 8 and 9 are complementary

• Angles 8 and 9 are supplementary

• Congruent Supplements Theorem

• Vertical Angle Theorem

List the reasons for this proof

• a. Segment Addition Postulate b. Substitution Property c. Simplify

• a. Definition of Midpoint b. Substitution Property c. Simplify

• a. Segment Addition Postulate b. Symmetric Property c. Simplify

• a. Definition of Bisect b. Substitution Property c. Simplify

What is the best statement for REASON 2?

• Symmetric Property

• Reflexive Property

• Distributive Property

• Transitive Property

Fill in the blanks to complete the geometric proof:

• ∠PQR = 38; B: Definition of Complementary Angles; C: Subtraction

  Property of Equality

• ∠PQR = 38; B: Definition of Supplementary Angles; C: Reflexive Property

• ∠PQR = 38; B: Definition of Vertical Angles; C: Transitive Property

• ∠PQR = 38; B: Definition of Complementary Angles; C: Substitution

How can you prove step #2?

• Vertical angle theorem

• Subtraction property of equality

• Transitive property of congruence

• Definition of supplementary angles

How can you prove step #5?

• Vertical angle theorem

• Subtraction property of equality

• Transitive property of congruence

• Definition of supplementary angles

How can you prove step #4?

• Vertical angle theorem

• Subtraction property of equality

• Transitive property of congruence

• Definition of supplementary angles

Fill in the blanks to complete the geometric proof:

• ∠PQR = 38; B: Definition of Complementary Angles; C: Subtraction

  Property of Equality

• ∠PQR = 38; B: Definition of Supplementary Angles; C: Reflexive Property

• ∠PQR = 38; B: Definition of Vertical Angles; C: Transitive Property

• ∠PQR = 38; B: Definition of Complementary Angles; C: Substitution

What reason justifies statement #2?

• Definition of Midpoint

• Transitive Property

• Addition Property

• Segment Addition Postulate

• Substitution Property