Problem Pictures

Linda Fahlberg-Stojanovska, Dec 2, 2014

This is a book with Problem Pictures, i.e. ggb files to use as screenshots for problems for grades 4-9.

Table of Contents

  1. 2D
    1. Polyline, Polygon, Both or Neither
    2. Polygon on a Grid
    3. Polygons and Points
    4. Basic Elements of a Circle
    5. Congruent triangles: SSS
    6. Angle Bisector
    7. Congruent triangles: SAS-2
    8. Perimeter of Open PolyLine 4
    9. Perimeter of a Quadrilateral
  2. 3D
    1. Plane and 3 points - Demo
    2. PP: Intersection of 2 Planes C
    3. Relative Position of a Line and a Plane
    4. Plane with Point - Sketch
  3. Compass and Straightedge
    1. Construction: Angle Bisector and Intersection

1.

2D

Problem Pictures from 2D Geometry

  • 1. Polyline, Polygon, Both or Neither
  • 2. Polygon on a Grid
  • 3. Polygons and Points
  • 4. Basic Elements of a Circle
  • 5. Congruent triangles: SSS
  • 6. Angle Bisector
  • 7. Congruent triangles: SAS-2
  • 8. Perimeter of Open PolyLine 4
  • 9. Perimeter of a Quadrilateral

1.1.

Polyline, Polygon, Both or Neither

Is it a polyline, a polygon, both or neither?
– Linda Fahlberg-Stojanovska

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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1.8.

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1.9.

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2.

3D

Problem Pictures from 3D Geometry

  • 1. Plane and 3 points - Demo
  • 2. PP: Intersection of 2 Planes C
  • 3. Relative Position of a Line and a Plane
  • 4. Plane with Point - Sketch

2.1.

Plane and 3 points - Demo

Do you see that the 3 points A, B and C tell us how to draw the plane?
– Linda Fahlberg-Stojanovska

2.2.

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2.3.

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2.4.

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3.

Compass and Straightedge

These are pictures for constructions using compass and straightedge. See also: http://geogebrawiki.wikispaces.com/Construct+with+GeoGebra

  • 1. Construction: Angle Bisector and Intersection

3.1.

Construction: Angle Bisector and Intersection

Using a compass and straightedge, find the point where the bisector of angle AOB intersects the line MN.
– Linda Fahlberg-Stojanovska

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