MAFS.912.G-C.1.4Archived Standard

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Construct a tangent line from a point outside a given circle to the circle.
General Information
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Geometry: Circles
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Understand and apply theorems about circles. (Geometry - Additional Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived

Related Courses

This benchmark is part of these courses.
1206320: Geometry Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Formative Assessments

Using a Compass To Construct a Tangent Line:

Students are asked to construct a tangent line to a given circle from a given exterior point.

Type: Formative Assessment

Constructing a Tangent Line:

Students are asked to complete and justify the construction of a line tangent to a circle from an exterior point.

Type: Formative Assessment

Lesson Plan

Off on a Tangent:

Students learn and apply vocabulary, notation, concepts, and geometric construction techniques associated with circles and their tangents to a historical real-world scenario, the Mason-Dixon Line, and a hypothetical real-world scenario, the North-South Florida Line.

Type: Lesson Plan

Problem-Solving Task

Tangent to a circle from a point:

This problem solving task challenges students to describe and compare different angles.

Type: Problem-Solving Task

Tutorial

Constructing Tangent Lines:

This GeoGebraTube interactive worksheet shows you the step by step method for constructing tangent lines to a circle from a point outside the circle.  Use the slider to see each step, and read below the illustration to follow the steps.  

Type: Tutorial

MFAS Formative Assessments

Constructing a Tangent Line:

Students are asked to complete and justify the construction of a line tangent to a circle from an exterior point.

Using a Compass To Construct a Tangent Line:

Students are asked to construct a tangent line to a given circle from a given exterior point.

Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

Problem-Solving Task

Tangent to a circle from a point:

This problem solving task challenges students to describe and compare different angles.

Type: Problem-Solving Task

Tutorial

Constructing Tangent Lines:

This GeoGebraTube interactive worksheet shows you the step by step method for constructing tangent lines to a circle from a point outside the circle.  Use the slider to see each step, and read below the illustration to follow the steps.  

Type: Tutorial

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.

Problem-Solving Task

Tangent to a circle from a point:

This problem solving task challenges students to describe and compare different angles.

Type: Problem-Solving Task