IHS - Geometry

Steve Weissburg, Dec 3, 2023

Set of sketches for common core geometry

Table of Contents

  1. Elements of Geometry
    1. Geometric Plane - meet and greet
    2. Triangle Angle Sum
    3. Exterior Angle Theorem
    4. Triangle Inequality
    5. Parallel Lines and Transversals
    6. PBT (Part 1) - Quick
    7. PBT (Part 2) - Quick
    8. Angle Bisector thm
  2. Transformations
    1. Reflections
    2. Rotations
    3. Translations
    4. Finding a Line of Reflection
    5. Finding a Point of Rotation
    6. Mapping 1
    7. Mapping 2
    8. Mapping 3
    9. Mapping 4
    10. Rotational symmetry
    11. Reflection Symmetry
    12. Reflecting Over Two Lines
    13. Two Parallel Reflections
  3. The Algebra of Transformations
    1. two reflections is a rotation
    2. Two reflections is a translation
    3. 2 reflections intersecting
    4. 2 reflections parallel
    5. All Mappings
  4. Quadrilaterals
    1. Square
    2. Isosceles Trapezoid
    3. Parallelogram
    4. Rhombus
    5. Rectangle
  5. Circles
    1. 9.1 arcs-chords-angles
    2. 9.2 inscribed angles
    3. 9.3 angle on diameter
    4. 9.3 cyclic quads
    5. 9.4 chord angles
    6. 9.4 power theorem
    7. 9.5 tangent radius
    8. 9.5 chord and perp bis
    9. 9.6 tangent chord
    10. 9.6 two secants
    11. 9.9 circle graphs
  6. Similar and Right Triangles
    1. eratosthenes
  7. Dilations and Similarity
    1. Dilations on Coordinate Plane
    2. Dilations

1.

Elements of Geometry

  • 1. Geometric Plane - meet and greet
  • 2. Triangle Angle Sum
  • 3. Exterior Angle Theorem
  • 4. Triangle Inequality
  • 5. Parallel Lines and Transversals
  • 6. PBT (Part 1) - Quick
  • 7. PBT (Part 2) - Quick
  • 8. Angle Bisector thm

1.1.

Geometric Plane - meet and greet

– Steve Weissburg

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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2.

Transformations

transformation sketches.

  • 1. Reflections
  • 2. Rotations
  • 3. Translations
  • 4. Finding a Line of Reflection
  • 5. Finding a Point of Rotation
  • 6. Mapping 1
  • 7. Mapping 2
  • 8. Mapping 3
  • 9. Mapping 4
  • 10. Rotational symmetry
  • 11. Reflection Symmetry
  • 12. Reflecting Over Two Lines
  • 13. Two Parallel Reflections

2.1.

Reflections

– Steve Weissburg

2.2.

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2.3.

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2.4.

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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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3.

The Algebra of Transformations

Contains sketching showing transformations as compositions of reflections.

  • 1. two reflections is a rotation
  • 2. Two reflections is a translation
  • 3. 2 reflections intersecting
  • 4. 2 reflections parallel
  • 5. All Mappings

3.1.

two reflections is a rotation

– Steve Weissburg

3.2.

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3.3.

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3.4.

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3.5.

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4.

Quadrilaterals

For each quadrilateral add in the diagonals. Answer the questions in the text.

  • 1. Square
  • 2. Isosceles Trapezoid
  • 3. Parallelogram
  • 4. Rhombus
  • 5. Rectangle

4.1.

Square

– Steve Weissburg

4.2.

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4.3.

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4.4.

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4.5.

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5.

Circles

  • 1. 9.1 arcs-chords-angles
  • 2. 9.2 inscribed angles
  • 3. 9.3 angle on diameter
  • 4. 9.3 cyclic quads
  • 5. 9.4 chord angles
  • 6. 9.4 power theorem
  • 7. 9.5 tangent radius
  • 8. 9.5 chord and perp bis
  • 9. 9.6 tangent chord
  • 10. 9.6 two secants
  • 11. 9.9 circle graphs

5.1.

9.1 arcs-chords-angles

– Steve Weissburg

5.2.

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5.3.

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5.4.

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5.5.

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5.6.

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5.7.

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5.8.

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5.9.

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5.10.

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5.11.

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6.

Similar and Right Triangles

  • 1. eratosthenes

6.1.

eratosthenes

– Steve Weissburg

7.

Dilations and Similarity

  • 1. Dilations on Coordinate Plane
  • 2. Dilations

7.1.

Dilations on Coordinate Plane

– Steve Weissburg

7.2.

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