Browsing: All Content in Geometry for Construction and loci Browse discussions |
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Resource Name |
Topic (Course) |
Technology |
Type |
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Rating |
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Simple Constructions
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Construction and loci (Geometry) |
Cabri Jr. |
Activity |
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[1]
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In this activity students use the Cabri Jr. application to perform simple constructions.
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Basic Constructions (Getting S...
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Construction and loci (Geometry) |
Flash |
Support Material |
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[0]
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This mini-lesson explains the concepts and procedures for basic constructions.
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Constructing Parallel and Perp...
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Construction and loci (Geometry) |
Flash |
Support Material |
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[0]
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This mini-lesson explains how to construct parallel and perpendicular lines, using earlier lessons about the basics of compass and straightedge construction.
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Midpoint of a Line Segment (Ge...
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Construction and loci (Geometry) |
Flash |
Support Material |
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[0]
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This lesson explains how to construct the midpoint of a line segment and inscribe a circle in a given triangle.
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Geometria
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Construction and loci (Geometry) |
Computer |
Tool |
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[0]
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Geometria is free (GPL) cross-platform software based on a two-role (teacher, student) model. The teacher creates a problem, provides it with an answer and saves the problem in a file. The student ope...
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4 Standard Types of Loci
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Construction and loci (Geometry) |
Java Applet |
Tool |
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[0]
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This allows students to explore 4 loci problems with a JavaSketchpad sketch: from 1 fixed point, from 1 fixed line, from 2 fixed points, and from 2 fixed lines. The students can manipulate the drawin...
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Constructing the Perpendicular...
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Construction and loci (Geometry) |
Java Applet |
Tool |
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[0]
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Students can learn how to construct the perpendicular bisector of a line segment. The applet asks students a few exploration questions to think about and try to discover through further experimentati...
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Draw ellipse with pins and str...
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Construction and loci (Geometry) |
Java Applet |
Tool |
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[0]
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An interactive applet and associated web page that provide step-by-step instructions on how to draw an ellipse
using two pins and some string. Not strictly a Euclidean construction, but instruct...
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Equidistant points - Math Open...
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Construction and loci (Geometry) |
Java Applet |
Tool |
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[0]
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An interactive applet and associated web page that have the definition and meaning of "equidistant" as applied to points.
The applet shows to points and another that is equidistant from them no m...
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Other Types of Loci
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Construction and loci (Geometry) |
Java Applet |
Tool |
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[0]
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This JavaSketchpad sketch allows students to explore 3 loci problems:
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Perpendicular Bisector of a Se...
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Construction and loci (Geometry) |
Java Applet |
Tool |
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[1]
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Use this applet to find out how to construct the perpendicular bisector of a line segment. From Illuminations' IGD: Interactive Geometry Dictionary.
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The concept of locus - Math Op...
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Construction and loci (Geometry) |
Java Applet |
Tool |
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[0]
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A web page and interactive applet that illustrate the concept of locus.
The applet shows a model of the plane populated with "all" the possible points on the plane. Choosing to highlight...
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Turtle Geometry
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Construction and loci (Geometry) |
Java Applet |
Tool |
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[1]
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Move and turn a turtle.
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Using a protractor. Math Open ...
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Construction and loci (Geometry) |
Java Applet |
Tool |
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[0]
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An interactive applet and associated web page that provide step-by-step animated instructions on how to
use a protractor to draw an angle.
The animation can be run either continuousl...
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Origami Construction
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Paper folding (Geometry) |
JavaScript |
Tool |
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[1]
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Follow these step-by-step instructions to construct a mathematically correct regular pentagon by folding a sheet of paper.
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Printable compass / straighted...
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Straightedge and compass (Geometry) |
Flash |
Activity |
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[2]
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A web page that contains a list of 35 printable worksheets for compass and straightedge constructions.
Each printable sheet has 2 or 3 problems and links back to the pages interactively explaining th...
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Construct a 90 deg angle with ...
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Straightedge and compass (Geometry) |
Java Applet |
Activity |
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[0]
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An interactive applet and associated web page that show how to construct a 90° right angle with a compass and straightedge.
The animation can be single-stepped or run as a continuous movie.
<...
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Constructions of Equilateral a...
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Straightedge and compass (Geometry) |
Sketchpad |
Activity |
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[0]
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Students will discuss the difference between drawing and constructing a triangle using The Geometer’s Sketchpad. They will further develop constructions for both isosceles and equilateral triangles. ...
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Paper Cup Mathematics
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Straightedge and compass (Geometry) |
Sketchpad |
Lesson Plan |
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[0]
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Imagine a discarded paper cup rolling on its side of a flat surface. What geometric shape does the path of the cup form?
Students investigate this question and begin the activity by experimenting wit...
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Brianchon's First Theorem
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Straightedge and compass (Geometry) |
Cabri |
Tool |
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[0]
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A Cabri *.fig file written to illustrate Brianchon's First Theorem which can be stated, "If AB, CD, and EF are concurrent at X, and BC, DE, and FA are concurrent at Y, then AD, BE, and CF are concurre...
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Brianchon's Theorem
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Straightedge and compass (Geometry) |
Cabri |
Tool |
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[0]
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A Cabri *.fig file written to illustrate Brianchon's Theorem which can be stated, "If each side of a hexagon touches a conic, then its diagonals are concurrent."
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Desargues Theorem
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Straightedge and compass (Geometry) |
Cabri |
Tool |
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[0]
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A Cabri *.fig file written to illustrate Desargues Theorem which can be stated, "If the lines joining corresponding vertices of two triangles are concurrent, then the intersections of corresponding si...
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La Hire's Theorem
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Straightedge and compass (Geometry) |
Cabri |
Tool |
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[0]
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A Cabri *.fig file written to illustrate La Hire's Theorem which can be stated, "If P lies on the polar of Q, then Q lies on the polar of P."
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Pappus's Theorem
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Straightedge and compass (Geometry) |
Cabri |
Tool |
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[0]
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A Cabri *.fig file written to illustrate Pappus's Theorem which can be stated, "If alternate vertices of a hexagon are collinear, then the intersections of opposite sides are collinear."
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Pascal's Theorem
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Straightedge and compass (Geometry) |
Cabri |
Tool |
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[0]
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A Cabri *.fig file written to illustrate Pascal's Theorem which can be stated, "If the vertices of a hexagon lie on a conic, then the intersections of opposite sides are collinear."
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