Free Printable WorksheetMathGeometryMath CurriculumG-CO.D.12-13

GEO.66 Compass and straightedge constructions of basic objects Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.66 Compass and straightedge constructions of basic objects. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.66 Compass and straightedge constructions of basic objects - Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.D.12-13. Skill statement in this prompt cell: Select the correct sequence of construction steps or the diagram that shows a valid construction of a segment, angle, bisector, perpendicular line, or parallel line. Associated standards listed with this skill in the curriculum source: CCSS G-CO.D.12-13; FL MA.912.GR.5.1-5.3; TEKS §111.41(c); MA G-CO.D.12-13. 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.66 Compass and straightedge constructions of basic objects skill assessments:

Problem 1Difficulty: Mastery

Line AB and point C not on AB are given. Which sequence constructs through C a line parallel to AB using two perpendicular constructions?

AConstruct the perpendicular bisector of AC, then label it parallel to AB.

BCopy segment AB onto a ray from C and connect the endpoint to B.

CBisect angle ACB and extend the bisector through C.

DConstruct line n through C perpendicular to AB, then construct line p through C perpendicular to n.

Solution & Explanation:The first construction creates a perpendicular from C to AB. The second creates a line through C perpendicular to that perpendicular, so the final line is parallel to AB.

Problem 2Difficulty: Mastery

Which statement correctly compares constructing a perpendicular bisector of AB with constructing a perpendicular to line l through point P on l?

ABoth require copying an angle from a separate diagram before drawing any arcs.

BThe perpendicular bisector uses a protractor, while the on-line perpendicular uses a compass.

CBoth can use equal-radius arcs from two points on a line, but the on-line perpendicular first chooses those two points equidistant from P.

DThe two constructions are unrelated because neither uses equal distances.

Solution & Explanation:For a segment, the endpoints are already known. For a perpendicular through P on a line, you first create endpoints A and B on the line with P as their midpoint, then construct the perpendicular bisector of AB.

Problem 3Difficulty: Mastery

A construction uses these steps: draw an arc centered at O crossing rays OP and OQ at A and B; draw equal arcs centered at A and B meeting at C; draw ray OC. Which conclusion is guaranteed?

ARay OC is parallel to OP.

BRay OC bisects angle POQ.

CPoint C is the midpoint of segment PQ.

DSegment OC is a copy of segment AB.

Solution & Explanation:The steps match the angle-bisector construction for angle POQ, so the final ray divides the angle into two congruent angles.

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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-CO.D.12-13 (Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.D.12-13. Skill statement in this prompt cell: Select the correct sequence of construction steps or the diagram that shows a valid construction of a segment, angle, bisector, perpendicular line, or parallel line. Associated standards listed with this skill in the curriculum source: CCSS G-CO.D.12-13; FL MA.912.GR.5.1-5.3; TEKS §111.41(c); MA G-CO.D.12-13. Use this prompt-provided wording as the supporting standard description for this workflow.).