Free Printable WorksheetMathGeometryMath CurriculumG-CO.B.6-8

GEO.79 Complete congruent triangle proofs Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.79 Complete congruent triangle proofs. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.79 Complete congruent-triangle proofs - Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.B.6-8. Skill statement in this prompt cell: Select the missing statement or reason that correctly completes a congruent-triangle proof. Associated standards listed with this skill in the curriculum source: CCSS G-CO.B.6-8; NY GEO G.G-CO.B; FL MA.912.GR.2.6; TEKS §111.41(c). Use this prompt-provided wording as the supporting standard description for this workflow.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Geometry

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related GEO.79 Complete congruent triangle proofs skill assessments:

Problem 1Difficulty: Mastery
In a flow proof, AB is parallel to DE and BC is parallel to EF. The proof uses angle ABC congruent to angle DEF and angle BCA congruent to angle EFD, plus BC congruent to EF. Which missing reason proves triangle ABC congruent to triangle DEF?
ASAS Congruence Theorem
BAAS Congruence Theorem
CSSS Congruence Theorem
DASA Congruence Theorem
Solution & Explanation:Side BC lies between the two known angles B and C, and EF lies between the corresponding angles E and F. The correct theorem is ASA.
Problem 2Difficulty: Mastery
A proof compares triangle LMN and triangle PQR. It has LM congruent to PQ and MN congruent to QR. To complete the proof by SAS, which missing angle statement must be used?
Aangle LNM is congruent to angle PRQ
Bangle MLN is congruent to angle QPR
Cangle LMN is congruent to angle PQR
Dangle L is congruent to angle R
Solution & Explanation:The included angle between LM and MN is angle LMN. The included angle between PQ and QR is angle PQR, so those angles must be congruent for SAS.
Problem 3Difficulty: Mastery
Triangle ABC and triangle DEF have angle A congruent to angle D, angle B congruent to angle E, and side AB congruent to DE. Which missing reason completes the proof most precisely?
AAAS Congruence Theorem
BASA Congruence Theorem
CSAS Congruence Theorem
DHL Congruence Theorem
Solution & Explanation:Side AB is included between angles A and B, and side DE is included between angles D and E. Therefore ASA is the precise reason.

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Frequently Asked Questions

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QIs this GEO.79 Complete congruent triangle proofs worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Geometry Math students. It aligns with educational standard G-CO.B.6-8 (Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.B.6-8. Skill statement in this prompt cell: Select the missing statement or reason that correctly completes a congruent-triangle proof. Associated standards listed with this skill in the curriculum source: CCSS G-CO.B.6-8; NY GEO G.G-CO.B; FL MA.912.GR.2.6; TEKS §111.41(c). Use this prompt-provided wording as the supporting standard description for this workflow.).

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