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

GEO.56 Triangle congruence criteria Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.56 Triangle congruence criteria. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.56 Triangle congruence criteria - Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.B.6-8. Skill statement in this prompt cell: Select the correct congruence criterion that applies to a pair of triangles based on marked sides and angles. 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.56 Triangle congruence criteria skill assessments:

Problem 1Difficulty: Mastery

In a final proof step, two triangles are known to be right triangles. The diagram marks one hypotenuse pair congruent and one leg pair congruent, and also shows an extra acute-angle mark. Which congruence criterion is the cleanest match to the right-triangle evidence?

ACPCTC: a conclusion after congruence, not a criterion

BSSS: three pairs of corresponding sides

CHL: right triangles with a hypotenuse and a leg

DSSA: two sides and a non-included angle, which is not a congruence criterion

Solution & Explanation:The hypotenuse and leg markings in right triangles match HL. The extra acute-angle mark is unnecessary for the cleanest criterion.

Problem 2Difficulty: Mastery

Triangles GHT and KLM have angle G congruent to angle K, angle T congruent to angle M, and side GH congruent to side KL. The included sides between the marked angles would be GT and KM. Which congruence criterion, if any, is supported?

ANo valid congruence criterion is justified

BSSS: three pairs of corresponding sides

CCPCTC: a conclusion after congruence, not a criterion

DAAS: two angles and a non-included side

Solution & Explanation:Because GH and KL are not the sides between the two marked angles, the side is non-included. Two angles and a non-included side justify AAS.

Problem 3Difficulty: Mastery

Triangles UVW and XYZ have UV congruent to XY, VW congruent to YZ, and angle V congruent to angle Y. Which congruence criterion, if any, is supported?

ASSS: three pairs of corresponding sides

BCPCTC: a conclusion after congruence, not a criterion

CSAS: two sides and the included angle

DHL: right triangles with a hypotenuse and a leg

Solution & Explanation:Angle V is included between UV and VW, and angle Y is included between XY and YZ. This gives SAS.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

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Yes! In addition to this printable worksheet, students can practice GEO.56 Triangle congruence criteria interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

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 correct congruence criterion that applies to a pair of triangles based on marked sides and angles. 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.).