This worksheet features a hands-on cut-and-paste activity where students solve four congruent triangle proofs using CPCTC by arranging mixed statements and reasons.

1. Given: KL ≅ YZ, KM ≅ YX, ∠K ≅ ∠Y
Prove: △KLM ≅ △YZX
Statement: △KLM ≅ △YZX
Reason: SAS

2. Given: ∠W ≅ ∠T, ∠V ≅ ∠S, WV ≅ TS
Prove: △WVU ≅ △TSU
Statement: △WVU ≅ △TSU
Reason: AAS

3. Given: EF ≅ JT and TU bisects ∠JLT
Prove: △LEF ≅ △LJT
Statement: ∠ELF ≅ ∠JLT
Reason: Definition of Angle Bisector
Statement: LF ≅ LT
Reason: Reflexive Property of Congruence
Statement: △LEF ≅ △LJT
Reason: SAS

4. Given: ∠M ≅ ∠P, ∠N ≅ ∠Q, MN ≅ PQ
Prove: △MNO ≅ △PQR
Statement: △MNO ≅ △PQR
Reason: ASA

5. Given: CD ≅ AB, D is the midpoint of EF
Prove: △CDE ≅ △ABF
Statement: ED ≅ DF
Reason: Definition of Midpoint
Statement: ∠CDE ≅ ∠ABF
Reason: Vertical Angles Theorem
Statement: △CDE ≅ △ABF
Reason: SAS

6. Given: ∠M and ∠P are right angles and TS bisects MK
Prove: △TSK ≅ △TSR
Statement: ∠M ≅ ∠P
Reason: All Right Angles are Congruent
Statement: TK ≅ TR
Reason: Definition of Segment Bisector
Statement: TS ≅ TS
Reason: Reflexive Property of Congruence
Statement: △TSK ≅ △TSR
Reason: HL