Free Printable WorksheetMathGeometryMath CurriculumG-CO.C.10

GEO.61 Special segments and points of concurrency in triangles Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.61 Special segments and points of concurrency in triangles. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.61 Special segments and points of concurrency in triangles - Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.C.10. Skill statement in this prompt cell: Identify the special segment or point of concurrency shown in a triangle diagram and select the correct property it satisfies. Associated standards listed with this skill in the curriculum source: CCSS G-CO.C.10; FL MA.912.GR.1.3; MA G-CO.C.10; NY GEO G.G-CO.C.10; TEKS §111.41(c). 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.61 Special segments and points of concurrency in triangles skill assessments:

Problem 1Difficulty: Mastery
The diagram shows point I where the three angle bisectors of triangle ABC meet. Dashed perpendicular segments from I to the sides are all labeled r. Which statement best describes I and r?
AI is the centroid, and r is half of each median.
BI is the incenter, and r is the radius of the incircle.
CI is the circumcenter, and r is the radius of the circumcircle.
DI is the orthocenter, and r is the length of each altitude.
Solution & Explanation:Angle bisectors meet at the incenter. The equal perpendicular distance from the incenter to each side is the radius of the incircle.
Problem 2Difficulty: Mastery
Triangle ABC has vertices A(-6,5), B(0,-1), and C(9,2). The point (1,2) is found by averaging the three vertex coordinates. Which point is (1,2)?
ACentroid; it is where the medians meet.
BIncenter; it is equidistant from the sides.
CCircumcenter; it is equidistant from the vertices.
DOrthocenter; it is where the altitudes meet.
Solution & Explanation:The average of the x-coordinates is (-6 + 0 + 9)/3 = 1, and the average of the y-coordinates is (5 - 1 + 2)/3 = 2. Coordinate averages identify the centroid.
Problem 3Difficulty: Mastery
The diagram shows P as the intersection of the perpendicular bisectors and R as the intersection of the angle bisectors of triangle ABC. Which circle description matches each point?
AP centers the incircle and R centers the circumcircle.
BP centers the circumcircle and R centers the incircle.
CBoth P and R center the incircle.
DNeither point can be a circle center.
Solution & Explanation:The perpendicular bisectors meet at the circumcenter P, the center of the circle through the vertices. The angle bisectors meet at the incenter R, the center of the circle tangent to the sides.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

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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.C.10 (Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.C.10. Skill statement in this prompt cell: Identify the special segment or point of concurrency shown in a triangle diagram and select the correct property it satisfies. Associated standards listed with this skill in the curriculum source: CCSS G-CO.C.10; FL MA.912.GR.1.3; MA G-CO.C.10; NY GEO G.G-CO.C.10; TEKS §111.41(c). Use this prompt-provided wording as the supporting standard description for this workflow.).

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