Proofs in Geometry

• addition POE
• angle addition POE
• subtraction POE
• substitution POE

Which is the correct reason for statement 1 in the proof?

• Definition of Congruent Angles

• Substitution

• Transitive Property

• Given

What is the missing statement in the proof?

• Subtraction p.o.e.

• Substitution p.o.e.

• Transitive p.o.e.

• Symmetric p.o.e.

What is the missing statement in the proof?

• Addition p.o.e

• Segment Addition Postulate

• Substitution p.o.e

• Transitive p.o.e

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 #4?

• Vertical angle theorem

• Subtraction property of equality

• Transitive property of congruence

• Definition of supplementary angles

Identify the  missing statement or reason

• Given

• Vertical Angles Theorem

• Definition of Angle Bisector

• Alternate Interior Angles Theorem

How can you prove step #5?

• Vertical angle theorem

• Subtraction property of equality

• Transitive property of congruence

• Definition of supplementary angles

What reason justifies statement #2?

• Definition of Midpoint

• Transitive Property

• Addition Property

• Segment Addition Postulate

• Substitution Property

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

• Angle Bisector Theorem

• Reflexive property

• CPCTC Theorem

• Proof