Free Printable WorksheetMathGeometryMath CurriculumG-MG.A.1

GEO.153 Vectors as directed segments 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.153 Vectors as directed segments in the coordinate plane. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.153 Vectors as directed segments in the coordinate plane - Primary standard selected for prompt fields in this prompt cell: CCSS G-MG.A.1. Skill statement in this prompt cell: Select the component form, magnitude, or resultant of a vector (or pair of vectors) shown on a coordinate plane. Associated standards listed with this skill in the curriculum source: CCSS G-MG.A.1; SMP.4; NY HS Modeling; MA G-MG.A.1; CCSS SMP.2; NY HS MP; MA SMP; TEKS Process. 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.153 Vectors as directed segments in the coordinate plane skill assessments:

Problem 1Difficulty: Mastery
A coordinate plane shows u from (-7,0) to (-2,9) and v from (4,-6) to (10,-3). Which option gives u + v and its approximate magnitude?
A<11,12> and about 16.3
B<-11,-12> and about 16.3
C<6,3> and about 6.7
D<5,9> and about 10.3
Solution & Explanation:u = <5,9> and v = <6,3>. Their sum is <11,12>. Its magnitude is sqrt(112 + 122) = sqrt(265), which is about 16.3.
Problem 2Difficulty: Mastery
If the vector from P to Q has component form , what is the component form of the vector from Q to P?
A
B<-r,-s>
C
D<-s,-r>
Solution & Explanation:Reversing a vector reverses both component changes. The vector from Q to P is the opposite of , so it is <-r,-s>.
Problem 3Difficulty: Mastery
What is the resultant of < -4,9 > and the opposite of <6,-2>?
A<-10,11>
B<2,7>
C<-2,7>
D<10,-11>
Solution & Explanation:The opposite of <6,-2> is <-6,2>. Add: <-4,9> + <-6,2> = <-10,11>.

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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-MG.A.1 (Primary standard selected for prompt fields in this prompt cell: CCSS G-MG.A.1. Skill statement in this prompt cell: Select the component form, magnitude, or resultant of a vector (or pair of vectors) shown on a coordinate plane. Associated standards listed with this skill in the curriculum source: CCSS G-MG.A.1; SMP.4; NY HS Modeling; MA G-MG.A.1; CCSS SMP.2; NY HS MP; MA SMP; TEKS Process. Use this prompt-provided wording as the supporting standard description for this workflow.).

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