Free Printable WorksheetMathGrade 6Math Curriculum6.G.A.3

6.90 Draw Polygons in the Coordinate Plane and Find Side Lengths Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.90 Draw Polygons in the Coordinate Plane and Find Side Lengths. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice correctly graphs the polygon and finds the length of the requested side? (CCSS 6.G.A.3; CA 6.G.A.3; MA 6.G.A.3; NY NY-6.G.3; TX 19 TAC §111.26(b)(11); FL MA.6.GR.1.3; VA 6.MG.3f)

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

Grade 6

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 6.90 Draw Polygons in the Coordinate Plane and Find Side Lengths skill assessments:

Problem 1Difficulty: Mastery

Graph hexagon ABCDEF using the ordered pairs A(-11, -12), B(13, -12), C(13, -2), D(10, -2), E(10, 3), and F(-11, 3). Which answer choice has the correct plotted vertices and the correct length for side AB?

AGraph uses A(-11, -12), B(13, -12), C(13, -2), D(10, -2), E(10, 3), F(-11, 3); AB = 25 units

BGraph uses A(-12, -11), B(-12, 13), C(-2, 13), D(-2, 10), E(3, 10), F(3, -11); AB = 24 units

CGraph uses A(-11, -12), B(13, -12), C(13, -2), D(10, -2), E(10, 3), F(-11, 3); AB = 24 units

DGraph uses A(-11, -10), B(13, -12), C(13, -2), D(10, -2), E(10, 3), F(-11, 3); AB = 23 units

Solution & Explanation:Side AB is horizontal because A and B have the same y-coordinate, -12. Compare the x-coordinates: |13 - (-11)| = 24. So AB is 24 units long, and the correct choice also keeps every ordered pair plotted as given.

Problem 2Difficulty: Mastery

An art design uses quadrilateral ABCD with vertices A(-12, -14), B(11, -14), C(10, -7), and D(-7, -7). Which option correctly graphs the design and finds the length of side CD?

AGraph uses A(-12, -14), B(11, -14), C(10, -7), D(-7, -7); CD = 18 units

BGraph uses A(-12, -14), B(11, -14), C(10, -7), D(-7, -7); CD = 17 units

CGraph uses A(-14, -12), B(-14, 11), C(-7, 10), D(-7, -7); CD = 17 units

DGraph uses A(-12, -14), B(11, -14), C(10, -5), D(-7, -7); CD = 16 units

Solution & Explanation:Side CD is horizontal because C and D have the same y-coordinate, -7. Compare the x-coordinates: |-7 - 10| = 17. So CD is 17 units long, and the correct choice also keeps every ordered pair plotted as given.

Problem 3Difficulty: Mastery

A game-board path forms hexagon ABCDEF with vertices A(-15, -7), B(-5, -7), C(-5, 6), D(-13, 6), E(-13, 10), and F(-15, 10). Which choice correctly graphs the polygon and gives the length of side DE?

AGraph uses A(-15, -7), B(-5, -7), C(-5, 6), D(-13, 6), E(-13, 10), F(-15, 10); DE = 4 units

BGraph uses A(-15, -7), B(-5, -7), C(-5, 6), D(-13, 6), E(-13, 10), F(-15, 10); DE = 5 units

CGraph uses A(-7, -15), B(-7, -5), C(6, -5), D(6, -13), E(10, -13), F(10, -15); DE = 4 units

DGraph uses A(-15, -7), B(-5, -7), C(-5, 6), D(-11, 6), E(-13, 10), F(-15, 10); DE = 3 units

Solution & Explanation:Side DE is vertical because D and E have the same x-coordinate, -13. Compare the y-coordinates: |10 - 6| = 4. So DE is 4 units long, and the correct choice also keeps every ordered pair plotted as given.

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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 Grade 6 Math students. It aligns with educational standard 6.G.A.3 (Draw Polygons in the Coordinate Plane and Find Side Lengths).