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

GEO.78 Choose the correct triangle congruence criterion Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.78 Choose the correct triangle congruence criterion. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.78 Choose the correct triangle congruence criterion - Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.B.6-8. Skill statement in this prompt cell: Select the congruence criterion that guarantees two triangles are congruent for the given markings. 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.78 Choose the correct triangle congruence criterion skill assessments:

Problem 1Difficulty: Mastery
A diagram shows right triangles ABC and DEF. Right angles are at B and E. Markings show hypotenuse AC = DF and leg AB = DE. Which criterion is the most direct guarantee of congruence?
ASAS, because the marked angle is included
BHL (right triangles with hypotenuse and leg)
CAAS congruence
DSSS from matching side lengths
Solution & Explanation:The triangles are right triangles, and the marked corresponding parts are one hypotenuse pair and one leg pair. HL is the most direct criterion.
Problem 2Difficulty: Mastery
A diagram shows a rhombus WXYZ split by diagonal WY. Markings show WX = XY = YZ = ZW and WY is shared. Which criterion proves triangles WXY and WZY congruent?
ASAS from two sides and their included angle
BSSS (three side pairs)
CASA with the side between the marked angles
DHL using a hypotenuse and one leg
Solution & Explanation:The triangles have WX = WZ, XY = ZY, and shared side WY. Therefore the congruence criterion is SSS.
Problem 3Difficulty: Mastery
Triangles ABC and DEF have AB = DE, BC = EF, and angle C = angle F. A student wants to use SSS. Which choice is correct?
ASSS from matching side lengths
BSAS, because the marked angle is included
CNot enough information to prove congruence
DAAS congruence
Solution & Explanation:Only two side pairs are marked, and the angle is not included between those sides. Since AC = DF is not marked, SSS is not available and SSA does not guarantee congruence.

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Frequently Asked Questions

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QIs this GEO.78 Choose the correct triangle congruence criterion 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 congruence criterion that guarantees two triangles are congruent for the given markings. 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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