Geometry Reflective Portfolio
Unit #4: Triangle congruence and CPCTC
Section #1: Vocabulary (words and/or diagrams)
Reflexive property
Addition property of equality
Subtraction property of equality
Substitution property
Section #2: Formulas/Equations/Theorems

Which transformations will result in yielding congruent triangles?
________________________, _________________________, _____________________
What do we call this group of transformations? _________________________

Write the 4 Triangle Congruence Theorems and draw a diagram for each:

What is the special congruence theorem you may use to prove right triangles are

congruent? _________________________________ Label the diagram:
PQ  RQ
Given:
QS  PR
Prove: PQS  RQS
CPCTC means________________________________________________________
_____________________________________________________________________
Write out each:

Segment and/or Angle Addition Postulate
_______________________________________________________________________

Supplementary angle theorem
________________________________________________________________________

________________________________________________________________________
Complementary angle theorem
________________________________________________________________________

________________________________________________________________________
Isosceles triangle theorem
________________________________________________________________________

________________________________________________________________________
Converse of isosceles triangle theorem
________________________________________________________________________
________________________________________________________________________
Section #3: Key methods and concepts
(write out the process and/or a solved example)
1) Complete the 2 column proof:
Given: QS  PR and QS bisects PQR
Prove: PS  RS
Statements
1) QS  PR and QS bisects PQR
Reasons
1)Given
2) mPSQ  90 o and mRSQ  90 o
2)
3)
4) PQS  RQS
3) All right angles are congruent.
4)
5)
5) Reflexive property
6) PQS  RQS
6)
7) PS  RS
7)
2) Write a triangle congruence theorem that may be used to prove the triangles congruent
or write” none”.
a)
b)
c)
*You have many proofs to practice in your packet!!! Make sure you check your answers on line!!!!!!