Triangles

Geeta Mudhar, Nov 28, 2015

Table of Contents

  1. Chapter 1
    1. Activity on Altitudes of a triangle
  2. Geometry
    1. Drawings, Constructions, and Drag Test
    2. Construction vs Drawing
    3. Pythagoras Theorem for Regular n-gons
    4. Disection Proof - Pythagoras Theorem
    5. Corners of Squares
    6. Pentagrams
    7. Angle Sum Property by Rotation
    8. Isosceles Triangles - Examples and Non-Examples
    9. Midpoint Triangles
    10. Intro to Area Using Unit Squares
    11. Dividing a line segment into 4 equal parts
    12. Exterior Angles of a Regular Polygon
    13. Consistency of Linear equations in Two Variables
    14. Perimeter - Area Challenges
  3. Maths is Beautiful
    1. 8 Point Star
    2. Square Root Spiral
    3. Golden Spiral
    4. Caso 5
    5. Sierpinski Triangle
    6. Ever Present Equilateral Triangle
    7. Curve of Pursuit
    8. Snowflakes with GeoGebra
    9. Kaleidoscope
  4. GeoGebra Guides

1.

Chapter 1

  • 1. Activity on Altitudes of a triangle

1.1.

Activity on Altitudes of a triangle

– Geeta Mudhar

2.

Geometry

Worksheets suitable for middle and secondary school mathematics.

  • 1. Drawings, Constructions, and Drag Test
  • 2. Construction vs Drawing
  • 3. Pythagoras Theorem for Regular n-gons
  • 4. Disection Proof - Pythagoras Theorem
  • 5. Corners of Squares
  • 6. Pentagrams
  • 7. Angle Sum Property by Rotation
  • 8. Isosceles Triangles - Examples and Non-Examples
  • 9. Midpoint Triangles
  • 10. Intro to Area Using Unit Squares
  • 11. Dividing a line segment into 4 equal parts
  • 12. Exterior Angles of a Regular Polygon
  • 13. Consistency of Linear equations in Two Variables
  • 14. Perimeter - Area Challenges

2.1.

Drawings, Constructions, and Drag Test

Discussion
[b][font=Tahoma, sans-serif][color=#000000]What is the difference between a drawing and a construction?[/color][/font][/b][br][font=Tahoma, sans-serif][color=#000000] Adrawing is only a connection of points and lines that can be shaped[br]in the form of a geometric figure, while a construction is a solid[br]object with constraints and properties.[/color][color=#000000][br][br][b]What is the “drag test” and why is it important?[/b][/color][/font][br][font=Tahoma, sans-serif][color=#000000] [/color][color=#000000]To see if the construction is fully defined. [/color][color=#000000]Tocheck if the construction is correct.[/color][color=#000000][br][br][b]Why is it important to construct figures instead of just drawing them[br]in interactive geometry software?[/b][/color][/font][br][font=Tahoma, sans-serif][color=#000000] [/color][color=#000000]To be able to work with them, so the construction can influence other[br]objects and vice versa.[/color][color=#000000][br][br][b]What do we have to know about the geometric figure before we are able[/b][br]to construct it using dynamic mathematics software?[/color][/font][br][font=Tahoma, sans-serif][color=#000000] [/color][color=#000000]Dimensions,number of vertices. [/color][color=#000000][br][/color][/font][br][br]
– Jose Alvarado

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2.5.

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2.6.

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2.7.

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2.8.

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2.9.

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2.10.

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2.11.

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2.12.

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2.13.

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2.14.

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3.

Maths is Beautiful

[color=#1551b5]There are many math wonders that one can discover and recreate with the help of technology , especially GeoGebra. Here is a collection of some of them.[/color]

  • 1. 8 Point Star
  • 2. Square Root Spiral
  • 3. Golden Spiral
  • 4. Caso 5
  • 5. Sierpinski Triangle
  • 6. Ever Present Equilateral Triangle
  • 7. Curve of Pursuit
  • 8. Snowflakes with GeoGebra
  • 9. Kaleidoscope

3.1.

8 Point Star

Maths is fun!
8 Point Star
– Sangeeta Gulati

3.2.

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3.4.

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3.5.

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3.6.

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3.7.

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3.8.

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3.9.

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4.

GeoGebra Guides

[color=#c51414]Collection of GeoGebra help guides with tutorials to help you learn GeoGebra[/color] [url]http://tube.geogebra.org/material/simple/id/1403161[/url]


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