Free Printable WorksheetMathGeometryMath CurriculumG-GPE.B.4

GEO.134 Derive and use the distance formula Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.134 Derive and use the distance formula. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.134 Derive and use the distance formula - Primary standard selected for prompt fields in this prompt cell: CCSS G-GPE.B.4. Skill statement in this prompt cell: Select the correct distance formula and compute the distance between two points. 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.134 Derive and use the distance formula skill assessments:

Problem 1Difficulty: Mastery
The endpoints are (x1, y1) = (-4, 8) and (x2, y2) = (11, -12). What is the distance, and what common mistake would give 35?
A25 units; adding absolute differences instead of using squares and a square root gives 35.
B35 units; adding absolute differences is the distance formula.
Csqrt(35) units; the coordinate differences should be added before squaring.
D400 units; the square root should be skipped.
Solution & Explanation:The differences are 15 and -20, so the distance is sqrt(152 + (-20)2) = sqrt(625) = 25 units. Adding |15| + |20| gives 35, which is a common incorrect method.
Problem 2Difficulty: Mastery
Which answer is exact for the distance between (-1/2, 3) and (9/2, -9)?
A12 units
B13 units
Csqrt(119) units
D25/2 units
Solution & Explanation:The x-difference is 9/2 - (-1/2) = 5, and the y-difference is -9 - 3 = -12. The distance is sqrt(52 + (-12)2) = sqrt(169) = 13 units.
Problem 3Difficulty: Mastery
A graph shows points A(-9, -6), B(-1, 0), and C(7, 6) on the same line. What is the distance from A to C?
A10 units
B16 units
C20 units
Dsqrt(244) units
Solution & Explanation:Use endpoints A and C. The differences are 16 and 12, so AC = sqrt(162 + 122) = sqrt(400) = 20 units.

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Frequently Asked Questions

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QIs this GEO.134 Derive and use the distance formula worksheet free for teachers and homeschoolers?

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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 distance formula and compute the distance between two points. 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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