Free Printable WorksheetMathGrade 8Math Curriculum8.G.B.8

8.132 Finding Distance Between Two Points on the Coordinate Plane Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.132 Finding Distance Between Two Points on the Coordinate Plane. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.132 Finding Distance Between Two Points on the Coordinate Plane - Which distance between the two points is correct? (CCSS 8.G.B.8; CA 8.G.B.8; MA 8.G.B.8)

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 8

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 8.132 Finding Distance Between Two Points on the Coordinate Plane skill assessments:

Problem 1Difficulty: Hard
Choose the point that is exactly 5sqrt(5) units away from A(1, 1).
A(6, 7)
B(11, 1)
C(12, 3)
D(-4, 9)
Solution & Explanation:Check the horizontal and vertical changes from (1, 1) to each option. For the correct point (12, 3), the distance is sqrt(125) = 5sqrt(5).
Problem 2Difficulty: Hard
Choose the pair of points that is the same distance apart as the points (1.25, -2.5) and (4.75, 2).
AY(3.5, -1) and Z(7, 2)
BU(0, 0) and V(4, 5)
CW(-2.25, 1.5) and X(1.75, 7.5)
DS(-1.5, 3) and T(2, 7.5)
Solution & Explanation:For QR, the horizontal change is 3.5 and the vertical change is 4.5, so the distance is sqrt(32.5). The correct option, ST, has the same squared distance, 32.5, so the two segments have the same length.
Problem 3Difficulty: Hard
Choose the pair of points whose distance is 9sqrt(5).
AM(4, -1) and N(16, 5)
BK(-2, 3) and L(7, 12)
CI(0, 0) and J(9, 18)
DO(-5, -4) and P(4, 8)
Solution & Explanation:For the correct option, the horizontal change is 9 and the vertical change is 18, so the distance is sqrt(405) = 9sqrt(5).

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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 8 Math students. It aligns with educational standard 8.G.B.8 (Primary standard selected for prompt fields: CCSS 8.G.B.8. Skill statement: Which distance between the two points is correct? Associated standards listed with this skill: CCSS 8.G.B.8; CA 8.G.B.8; MA 8.G.B.8. Use this embedded wording as the best available supporting standard description for this workflow.).

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