8th Grade Geometry

yazmin.chavira, Oct 16, 2016

Collection of helpful modules from Geogebra.com to illustrate the properties of transformations

Table of Contents

  1. Translations
    1. Translations in The Coordinate Plane
    2. Parallel Translation
    3. Translations Intro #3
  2. Reflections
    1. Reflections
    2. Exploring Reflections
    3. Segment Bisectors (Definitions)
    4. Reflections in the Coordinate Plane
  3. Rotations
    1. Rotating Polygons 1
    2. Rotations of Polygons
    3. Exploring Rotations
  4. Sequences
    1. Some Sequences Are Not Commutative
  5. Parallel Lines & Transversals
    1. Transversal Intersects Parallel Lines
    2. Angles related to parallel lines (Converses)

1.

Translations

  • 1. Translations in The Coordinate Plane
  • 2. Parallel Translation
  • 3. Translations Intro #3

1.1.

Translations in The Coordinate Plane

Translations in The Coordinate Plane
– Michael Bailey

1.2.

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1.3.

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2.

Reflections

  • 1. Reflections
  • 2. Exploring Reflections
  • 3. Segment Bisectors (Definitions)
  • 4. Reflections in the Coordinate Plane

2.1.

Reflections

Opposite Isometries
Any isometry that reverses the orientation of a triangle is called an [i]opposite isometry[/i].  When you read off the vertices of triangle ABC in cyclic order, they are read in a counterclockwise direction. When you read off the vertices of triangle A'B'C' in cyclic order, they are read in a clockwise direction.
[math]\sigma_m[/math] is the notation we will use for a reflection in line [i]m[/i].  [br]In the sketch below, we would write [math]\sigma_{DE}\left(A\right)=A'[/math].
Reflection
– Steve Phelps

2.2.

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2.3.

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2.4.

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3.

Rotations

  • 1. Rotating Polygons 1
  • 2. Rotations of Polygons
  • 3. Exploring Rotations

3.1.

Rotating Polygons 1

GeoGebra Tutorial Example 32 - Rotating Polygons 1
GeoGebra Tutorial Example 32 - Rotating Polygons 1
– GGBin

3.2.

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3.3.

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4.

Sequences

  • 1. Some Sequences Are Not Commutative

4.1.

Some Sequences Are Not Commutative

– yazmin.chavira

5.

Parallel Lines & Transversals

  • 1. Transversal Intersects Parallel Lines
  • 2. Angles related to parallel lines (Converses)

5.1.

Transversal Intersects Parallel Lines

[b][color=#980000]Students:[/color][/b][br][br]Use the GeoGebra applet above to help you complete the [b][color=#1e84cc]Transversals, Lines, & Related Angles[/color][/b] investigation given to you at the beginning of class.
– Tim Brzezinski

5.2.

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Information