CPCTC

1. Corresponding Parts Triangles are Congruent of Congruent CPCTC It means that once you know that 2 triangles are congruent, you know that ALL corresponding sides and angles are congruent What Does this mean?

2. Corresponding Parts Triangles are Congruent of Congruent First, we need to know which sides and angles correspond! 1. Given that ∆ABC  ∆DEF. List all of the corresponding sides and angles. CPCTC Angles Sides AB  DE LCABLFDE BC  EF LABCLDEF AC  DF LBCA LEFD

3. You practice with # 2 and #3 independently • When you finish complete the FIRST proof on the 2nd page

4. Given: DG  DE and FD  DH a. Mark the diagram to reflect the given statements. Prove: FE  HG Statement Reason DG  DE Given FD  DH Given L FDE L HDG Definition of vertical angles ∆FDE ∆HDG SAS CPCTC FE  HG Take MENTAL NOTE:FE and HG are Corresponding Parts Now that we know∆ FDE ∆ HDG we can use CPCTC

5. Given: CQ WQ and HC HW Prove: LCHQ LWHQ a. Mark the diagram to reflect all congruencies, then complete the proof Statement Reason CQ WQ Given HC HW Given HQ HQ Same segment (reflexive Property) SSS ∆ CDQ ∆ WHQ L CHQ L WHQ CPCTC Take MENTAL NOTE:LCHQ and LWHQ are Corresponding Parts Now that we know∆ CHQ ∆ WHQ we can use CPCTC

6. HINT!!! To start the problem...you are going to need to draw an EXTRA line PY to create 2 triangles!!