Free Printable WorksheetMathGeometryMath CurriculumG-GPE.B.4

GEO.135 Use midpoint and partitioning in the coordinate plane Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.135 Use midpoint and partitioning in the coordinate plane. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.135 Use midpoint and partitioning in the coordinate plane - Primary standard selected for prompt fields in this prompt cell: CCSS G-GPE.B.4. Skill statement in this prompt cell: Select the correct midpoint or partition point for a segment and ratio, given coordinates. Associated standards listed with this skill in the curriculum source: CCSS G-GPE.B.4; FL MA.912.GR.3.2-3.3; MA G-GPE.B.4; NY GEO G.G-GPE.B.4. 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.135 Use midpoint and partitioning in the coordinate plane skill assessments:

Problem 1Difficulty: Mastery
On a coordinate graph, segment JK has endpoints J(-18, 6) and K(6, -18). Which point partitions JK so that JP:PK = 3:1?
A(-12, 0)
B(0, -12)
C(-6, -6)
D(18, -18)
Solution & Explanation:For a ratio of 3:1 from J to K, the point is 3/(3 + 1) = 3/4 of the way from J to K. Apply that fraction to both coordinate changes: (-18, 6) + 3/4((24, -24)) = (0, -12).
Problem 2Difficulty: Mastery
A coordinate graph shows A(-6, -2) and B(10, 14). Which point partitions AB so that AP:PB = 5:3?
A(0, 4)
B(2, 6)
C(4, 8)
D(10, 10)
Solution & Explanation:For a ratio of 5:3 from A to B, the point is 5/(5 + 3) = 5/8 of the way from A to B. Apply that fraction to both coordinate changes: (-6, -2) + 5/8((16, 16)) = (4, 8).
Problem 3Difficulty: Mastery
A teacher asks for P on AB with A(-5, -5), B(16, 9), and AP:PB = 2:5. Which point avoids the common mistake of using 2/5 instead of 2/7?
A(10, 5)
B(11/2, 2)
C(6, 4)
D(1, -1)
Solution & Explanation:For a ratio of 2:5 from A to B, the point is 2/(2 + 5) = 2/7 of the way from A to B. Apply that fraction to both coordinate changes: (-5, -5) + 2/7((21, 14)) = (1, -1). The total number of ratio parts is 2 + 5 = 7, so the fraction from A is 2/7.

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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-GPE.B.4 (Primary standard selected for prompt fields in this prompt cell: CCSS G-GPE.B.4. Skill statement in this prompt cell: Select the correct midpoint or partition point for a segment and ratio, given coordinates. Associated standards listed with this skill in the curriculum source: CCSS G-GPE.B.4; FL MA.912.GR.3.2-3.3; MA G-GPE.B.4; NY GEO G.G-GPE.B.4. Use this prompt-provided wording as the supporting standard description for this workflow.).

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