Geometry Proof

IF <ABC ≅ <DEF, then m<ABC = m<DEF

• Reflexive POE

• Addition POE

• Def. of congruent angles

• Def. of right angles

Which property justifies the next step?

• Segment addition postulate

• Definition of an angle bisector

• Angle addition postulate

• Definition of right angles

Identify the  missing statement or reason

• Reflexive Property

• Definition of Midpoint

• Given

• Vertical Angles Theorem

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

• Vertical Angle Theorem

• proof

• def. of angle bisector

• CPCTC 

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

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

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