National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: "Impossible" Geometric Constructions
Three geometric constructions students like to say are "impossible" are explained here. Trisecting an angle, squaring a circle, and doubling a cube are examined as being either possible or impossible, depending on the "rules" you use.
Oswego City School District
Regents Exam Prep Center: Geometric Constructions
Learn all about the basic geometric constructions in this test prep lesson. You will explore line segments and points, and understand key terms like the terms parallel and perpendicular. Construction activities and interactive online...
Wolfram Research
Wolfram Math World: Math World: Geometric Construction
Offers an explanation of what a geometric construction is and what some of the tools are that are used for it, including the traditional straightedge and compass. The site explains how to construct various polygons inscribed within a...
Mathigon
Mathigon: Euclidean Geometry: Geometric Construction
This lesson focuses on the history of geometric construction beginning with Euclid's Axioms to the simple tools such as the straight edge and the compass.
Varsity Tutors
Varsity Tutors: Hotmath: Constructions: Exercises
Ten problems cover the topic of geometric constructions. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to check each step of...
CK-12 Foundation
Ck 12: Geometry Software for Constructions
[Free Registration/Login Required] Students explore the concept of using geometry software to construct geometric shapes by navigating through the interactive learning module and then answering questions that go along with the module....
Cut the Knot
Cut the Knot!: Geometric Construction With the Compass Alone
This site explains the possible uses of a compass when drawing. There are numerous exercises for using a compass with links to the solutions - click on the red checkmarks for these. The site discusses mathematicians who contributed to...
Other
Advogato: Trigonometry by Geometric Construction
This site from Advogato is all about angles. It contains information starting with what an angle is and what it looks like, all the way up to bisecting angles and theorems about angles. This is very good information for students just...
Texas Education Agency
Texas Gateway: Constructing and Justifying Statements About Geometric Figures
Students will distinguish between undefined terms, definitions, postulates, conjectures, and theorems and investigate patterns to make conjectures about geometric relationships.
CK-12 Foundation
Ck 12: Interactive Geometry: 5.3 Parallel and Perpendicular Line Constructions
Understand the step-by-step processes used to create accurate geometric figures.
Texas Instruments
Texas Instruments: Traditional Copy an Angle: Compass Construction Using Cabri
Use Cabri Jr to copy an angle. The activity is followed by a student-to-student interview/reflection sheet intended to require students to think, talk, and write about why the construction worked. The reflection sheet could be adapted...
Illustrative Mathematics
Illustrative Mathematics: G Co Angle Bisection and Midpoints of Line Segments
This task provides a construction of the angle bisector of an angle by reducing it to the bisection of an angle to finding the midpoint of a line segment. Aligns with G-CO.D.12.
Illustrative Mathematics
Illustrative Mathematics: G Co Construction of Perpendicular Bisector
A and B are two distinct points in the plane and line AB is the segment joining them. The goal of this problem is to construct the perpendicular bisector of segment AB. Aligns with G-CO.D.12.
Maths Challenge
Maths challenge.net: Perpendicular Construction
This is a "three star" geometry problem where prior math problem skills and proof experience is recommended to solve this "Perpendicular Construction" problem.
ArtsNow
Arts Now Learning: Monumental Construction [Pdf]
In this lesson, students work in teams to create large paper sculptures using newspaper rolled up into tubes.
Texas Instruments
Texas Instruments: Ti 92 + Cabri Geometry for the Not Necessarily Advanced User
This activity is a tutorial on using the Cabri Geometry application. Students' perform geometric constructions which range from simple triangles to complex conics.
ArtsNow
Arts Now Learning: Monumental Construction [Pdf]
In this lesson, students work in teams to create large paper sculptures using newspaper rolled up into tubes.
Khan Academy
Khan Academy: Algebra I: Recursive Formulas for Geometric Sequences
Find the recursive formula of a geometric sequence given the first few terms or given an explicit formula. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Converting Recursive and Explicit Forms of Geometric Sequences
Given the explicit formula of a geometric sequence, find its recursive formula, and vice versa. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Algebra I: Explicit Formulas for Geometric Sequences
Solve problems such as: The first four terms in a geometric sequence are 1/3, 1, 3, and 9. Find an explicit formula for the sequence. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video...
Math Is Fun
Math Is Fun: Constructing a Triangle With 3 Known Sides
Students learn how to construct a triangle with three known sides using a straightedge and a compass. Includes an animated demonstration.
Illustrative Mathematics
Illustrative Mathematics: G Co Parallelograms and Translations
In this task, students apply the definition of a parallelogram in the context of a geometric construction. Aligns with G-CO.C.11.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Constructing the Orthocenter
Dr. Math shows how to construct the orthocenter of any triangle using a compass and straight edge.