Geometry Intro to Proofs

What is the correct reason for line 5 and 6?

• 5.Transitive Property of equality 6. Substitution

• 5.Algebra 6.Definition of ≅

• 5.Substitution 6.Definition of ≅

• 5.Angle addition postulate 6.Substitution

What is the correct statement for 3?

• AD=EA

• AB=CD

• AB≅EF

• AB=EF

What is the REASON for Statement #1?

• Given

• Definition of Complementary Angles

• Substitution Property

• Reflexive Property of Congruence

What is the reason?

• Definition of vertical angles

• Angle addition postulate

• Definition of angle bisectors

• Vertical angles are congruent

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

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 #4?

• 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

What is the "reason" for step 5 of the proof?

• Angle Bisector Theorem

• Reflexive property

• CPCTC Theorem

• Proof