Free Printable WorksheetMathGeometryMath CurriculumG-CO.C.9

GEO.71 Solve algebraic problems with transversals Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.71 Solve algebraic problems with transversals. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.71 Solve algebraic problems with transversals - Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.C.9. Skill statement in this prompt cell: Select the equation that matches a transversal diagram and choose the correct value of the variable. Associated standards listed with this skill in the curriculum source: CCSS G-CO.C.9; FL MA.912.GR.1.1; VA G.RLT.2; MA G-CO.C.9; NY GEO G.G-CO.C.9. 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.71 Solve algebraic problems with transversals skill assessments:

Problem 1Difficulty: Mastery

Lines r and s are parallel and are cut by transversal t. Angle A is at the upper intersection, below the top line and left of the transversal, and angle B is at the lower intersection, above the bottom line and right of the transversal. Angle A is labeled 3x - 1 degrees and angle B is labeled x + 47 degrees. Which equation and value of x are correct?

A3x - 1 = x + 47; x = 24

B3x - 1 = x + 47; x = 26

C3x + 1 = x + 47; x = 23

D(3x - 1) + (x + 47) = 180; x = 67/2

Solution & Explanation:The diagram shows alternate interior angles, so the angle measures are congruent. Set the expressions equal: 3x - 1 = x + 47. Solving that equation gives x = 24. Do not use the equation for the other relationship type unless the diagram shows that relationship.

Problem 2Difficulty: Mastery

Use the diagram with parallel lines line 1 and line 2 cut by transversal q. Angle A is labeled 7x - 51 degrees and angle B is labeled 2x + 33 degrees. The diagram also shows that an angle adjacent to angle A is corresponding to angle B. Which equation and value of x match the full relationship?

A7x - 51 = 2x + 33; x = 84/5

B(7x - 51) + (2x + 33) = 180; x = 22

C(7x - 51) + (2x + 33) = 90; x = 12

D(7x - 51) + (2x + 33) = 180; x = 24

Solution & Explanation:Use the relationship chain in the diagram to identify the labeled angles as supplementary. The matching equation is (7x - 51) + (2x + 33) = 180, and solving gives x = 22. Do not use the equation for the other relationship type unless the diagram shows that relationship.

Problem 3Difficulty: Mastery

Lines PQ and RS are parallel and are cut by transversal TU. Angle A is at the upper intersection, below the top line and left of the transversal, and angle B is at the lower intersection, below the bottom line and left of the transversal. Angle A is labeled 5x + 38 degrees and angle B is labeled 6x + 18 degrees. Which equation and value of x are correct?

A(5x + 38) + (6x + 18) = 180; x = 124/11

B5x + 38 = 6x + 18; x = 22

C5x + 38 = 6x + 18; x = 20

D5x - 38 = 6x + 18; x = 18

Solution & Explanation:The diagram shows corresponding angles, so the angle measures are congruent. Set the expressions equal: 5x + 38 = 6x + 18. Solving that equation gives x = 20. Do not use the equation for the other relationship type unless the diagram shows that relationship.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this GEO.71 Solve algebraic problems with transversals worksheet?

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QIs this GEO.71 Solve algebraic problems with transversals worksheet free for teachers and homeschoolers?

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Yes! In addition to this printable worksheet, students can practice GEO.71 Solve algebraic problems with transversals interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

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-CO.C.9 (Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.C.9. Skill statement in this prompt cell: Select the equation that matches a transversal diagram and choose the correct value of the variable. Associated standards listed with this skill in the curriculum source: CCSS G-CO.C.9; FL MA.912.GR.1.1; VA G.RLT.2; MA G-CO.C.9; NY GEO G.G-CO.C.9. Use this prompt-provided wording as the supporting standard description for this workflow.).