Geometry worksheet with three congruent triangle proof problems requiring students to use given information and logical reasoning to complete statements and reasons.

A worksheet titled "Congruent Triangle Proofs Mixed!" featuring three geometry problems with diagrams and tables for completing proofs using given information and logical reasoning.

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Show Answer Key & Explanations Step-by-step solution for: Solved CONGRUENT TRIANGLE Ricofo MIXED! Complete each proof ...

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- L is the midpoint of KN and MP. (Given)
- KL ≅ NL and ML ≅ PL. (Definition of midpoint)
- ∠KLM ≅ ∠NLP. (Vertical angles are congruent)
- ΔMKL ≅ ΔPNL. (SAS Congruence Postulate)
- Therefore, corresponding parts are congruent. (CPCTC)

- BD bisects ∠ABC. (Given)
- ∠ABD ≅ ∠CBD. (Definition of angle bisector)
- ∠BAD ≅ ∠BCD. (Given)
- BD ≅ BD. (Reflexive Property)
- ΔABD ≅ ΔCBD. (AAS Congruence Theorem)

- S is the midpoint of QU. (Given)
- QS ≅ SU. (Definition of midpoint)
- QR ≅ ST and RS ≅ TU. (Given)
- ΔQRS ≅ ΔSTU. (SSS Congruence Postulate)
- Therefore, corresponding parts are congruent. (CPCTC)

Parent Tip: Review the logic above to help your child master the concept of congruent triangle proof worksheet.

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