Free Printable WorksheetMathGeometryMath CurriculumG-CO.C.11

GEO.64 Quadrilateral classification and properties Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.64 Quadrilateral classification and properties. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.64 Quadrilateral classification and properties - Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.C.11. Skill statement in this prompt cell: Select the most specific classification of a quadrilateral based on given properties and choose the correct missing angle or side measure. Associated standards listed with this skill in the curriculum source: CCSS G-CO.C.11; FL MA.912.GR.1.4-1.5; MA G-CO.C.11; NY GEO G.G-CO.C.11. 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.64 Quadrilateral classification and properties skill assessments:

Problem 1Difficulty: Mastery

Quadrilateral ABCD has AB parallel to CD and BC parallel to AD. Diagonals AC and BD are not congruent. Also, AB = 3x + 2 and CD = 5x - 18. Which option gives the most specific classification and side AB?

Arectangle; AB = 32 units

Bparallelogram; AB = 32 units

Crhombus; AB = 16 units

Dtrapezoid; AB = 20 units

Solution & Explanation:Both pairs of opposite sides are parallel, so ABCD is a parallelogram. Opposite sides are congruent, so 3x + 2 = 5x - 18. This gives x = 10 and AB = 3(10) + 2 = 32 units. The noncongruent diagonals do not support rectangle or square.

Problem 2Difficulty: Mastery

A parallelogram has four congruent sides and congruent diagonals. Which option gives the most specific classification and the angle formed by its diagonals?

Arectangle; diagonal angle = 90 degrees

Brhombus; diagonal angle = 45 degrees

Csquare; diagonal angle = 90 degrees

Dparallelogram; diagonal angle = 180 degrees

Solution & Explanation:A parallelogram with four congruent sides is a rhombus, and a parallelogram with congruent diagonals is a rectangle. Being both a rhombus and a rectangle makes it a square. Diagonals of a square are perpendicular, so they form 90-degree angles.

Problem 3Difficulty: Mastery

A quadrilateral's diagonals bisect each other, are perpendicular, and are not congruent. Adjacent angles are labeled 3x + 4 degrees and 2x + 1 degrees. Which option gives the most specific classification and the angle labeled 3x + 4?

Arectangle; 3x + 4 = 90 degrees

Brhombus; 3x + 4 = 109 degrees

Csquare; 3x + 4 = 109 degrees

Dkite; 3x + 4 = 71 degrees

Solution & Explanation:Diagonals that bisect each other make a parallelogram, and perpendicular noncongruent diagonals make it a rhombus rather than a square. Adjacent angles in a rhombus are supplementary: (3x + 4) + (2x + 1) = 180. Then x = 35 and 3x + 4 = 109 degrees.

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Frequently Asked Questions

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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.C.11 (Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.C.11. Skill statement in this prompt cell: Select the most specific classification of a quadrilateral based on given properties and choose the correct missing angle or side measure. Associated standards listed with this skill in the curriculum source: CCSS G-CO.C.11; FL MA.912.GR.1.4-1.5; MA G-CO.C.11; NY GEO G.G-CO.C.11. Use this prompt-provided wording as the supporting standard description for this workflow.).