Geometry Proofs Practice

What does CPCTC stand for?

• Corresponding Parts of Congruent Triangles are Congruent

• Congruent Parts of Congruent Triangles are Corresponding

• Colorful Pieces of Corresponding Triangles are Congruent

• Congruent Pieces of Congruent Triangles are Congruent

What is the reason?

• Definition of Complementary

• Definition of 180 

• Definition of supplementary

• Angle Addition

What is the justification?

• Symmetric Prop.

• Angle addition postulate

• Reflexive Prop

• Transitive Prop.

Given that angles A and B form a linear pair what is the next step we can conclude by definition of a linear pair?

• m∠A + m∠B = 90

• A and B are both acute angles

• m∠A + m∠B = 180

• A and B are both obtuse angles

What is the reason?

• Definition of complementary

• Definition of supplementary

What is the REASON for Statement #5?

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

What is the missing piece of information required to prove these triangles congruent?

• segment QY ≅ segment QY

• segment NY ≅ segment PY

• ∠N ≅ ∠P

• segment QY is the perpendicular bisector

What is the "statement" for step 3 of the proof? 

• ∡EDA≅∡DCB

• ∡AED≅∡BEC

• DE=CE

• ∡AED≅∡CED

State if the two triangles are congruent.  If they are, state how you know.

• A

• B

• C

• D

What additional information is required for the 2 triangles to be congruent by SAS?

• A

• B

• C

• D