Geometry A

Jon Heeren, Nov 9, 2020

This is the activities book for Geometry A for Mr. Heeren

Table of Contents

  1. Unit 1 - Basics of Geometry
    1. Points, Lines, Planes Definitions
    2. Collinear Points Example and Definitions
    3. Segment, collinear, coplanar
    4. Midpoint Formula
    5. Distance in the Coordinate Plane
    6. GeoGebra Protractor Tool
    7. Protractor Practice (Random)
    8. Angle Bisector
    9. Vertical Angles and Linear Pairs
    10. Complementary Meaning?
    11. Supplementary Angles (Quick Exploration)
  2. Unit 2 - Lines
    1. Graph the Line
    2. Find Slope from Two Points
    3. Slope Intercept Form of a Line
    4. Point Slope Form
    5. Parallel and Perpendicular Lines
    6. Transversal Intersects Parallel Lines
    7. Alternate Interior Angles: Quick Investigation
    8. Parallel Lines Cut by a Transversal
    9. Alternate Exterior Angles: Quick Investigation
    10. Parallel lines with transversal and angles
    11. Writing Equations of Parallel and Perpendicular Lines
  3. Unit 3 - Triangle Congruence
    1. Classifying triangles by sides and angles
    2. Triangle Exterior Angle
    3. Triangle Angle Sum Theorem
    4. Proof Without Words
    5. Congruent Triangles SSS
    6. ASA Theorem?
    7. SAS: Dynamic Proof!
    8. Exploring ASA and AAS
    9. A Special Triangle & Its Properties (I)
    10. Equilateral Triangle
    11. Triangle Inequality: Discovery Lesson
  4. Unit 4 Quadrilaterals
    1. The sum of angles in a quadrilateral
    2. Sum of the Interior Angles of a Polygon
    3. Polygons: Exterior Angles - REVAMPED
    4. Parallelograms (I)
    5. Properties of a Parallelogram
    6. Properties of a Rectangle
    7. Rectangle Template with Investigation Questions
    8. Properties of a Rhombus
    9. Properties of a Square
    10. Trapezoids and Kites
    11. Kite Action!
    12. Trapezoid: Area (I)
  5. Unit 5 Similarity
    1. Ratios and Proportions Exploration 1.4
    2. Similar Polygons Investigation
    3. Similar Polygons
    4. Similar Triangles
    5. Similar triangles with missing lengths
    6. Parallel Lines Proportionality Theorem
    7. Triangle proportionality theorem
    8. Proportionality property 2

1.

Unit 1 - Basics of Geometry

  • 1. Points, Lines, Planes Definitions
  • 2. Collinear Points Example and Definitions
  • 3. Segment, collinear, coplanar
  • 4. Midpoint Formula
  • 5. Distance in the Coordinate Plane
  • 6. GeoGebra Protractor Tool
  • 7. Protractor Practice (Random)
  • 8. Angle Bisector
  • 9. Vertical Angles and Linear Pairs
  • 10. Complementary Meaning?
  • 11. Supplementary Angles (Quick Exploration)

1.1.

Points, Lines, Planes Definitions

– pchou, Tom Wharton

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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1.10.

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1.11.

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2.

Unit 2 - Lines

  • 1. Graph the Line
  • 2. Find Slope from Two Points
  • 3. Slope Intercept Form of a Line
  • 4. Point Slope Form
  • 5. Parallel and Perpendicular Lines
  • 6. Transversal Intersects Parallel Lines
  • 7. Alternate Interior Angles: Quick Investigation
  • 8. Parallel Lines Cut by a Transversal
  • 9. Alternate Exterior Angles: Quick Investigation
  • 10. Parallel lines with transversal and angles
  • 11. Writing Equations of Parallel and Perpendicular Lines

2.1.

Graph the Line

Drag points A and B so the line matches the equation.
– Steve Phelps

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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3.

Unit 3 - Triangle Congruence

  • 1. Classifying triangles by sides and angles
  • 2. Triangle Exterior Angle
  • 3. Triangle Angle Sum Theorem
  • 4. Proof Without Words
  • 5. Congruent Triangles SSS
  • 6. ASA Theorem?
  • 7. SAS: Dynamic Proof!
  • 8. Exploring ASA and AAS
  • 9. A Special Triangle & Its Properties (I)
  • 10. Equilateral Triangle
  • 11. Triangle Inequality: Discovery Lesson

3.1.

Classifying triangles by sides and angles

Students explore with properties of a triangle to help them identify triangles by its sides and angles.
– Maestro2013

3.2.

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3.3.

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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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3.10.

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3.11.

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4.

Unit 4 Quadrilaterals

  • 1. The sum of angles in a quadrilateral
  • 2. Sum of the Interior Angles of a Polygon
  • 3. Polygons: Exterior Angles - REVAMPED
  • 4. Parallelograms (I)
  • 5. Properties of a Parallelogram
  • 6. Properties of a Rectangle
  • 7. Rectangle Template with Investigation Questions
  • 8. Properties of a Rhombus
  • 9. Properties of a Square
  • 10. Trapezoids and Kites
  • 11. Kite Action!
  • 12. Trapezoid: Area (I)

4.1.

The sum of angles in a quadrilateral

The sum of angles in a quadrilateral
– Priyanka

4.2.

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4.3.

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4.4.

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4.5.

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4.6.

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4.7.

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4.8.

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4.9.

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4.10.

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4.11.

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4.12.

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5.

Unit 5 Similarity

  • 1. Ratios and Proportions Exploration 1.4
  • 2. Similar Polygons Investigation
  • 3. Similar Polygons
  • 4. Similar Triangles
  • 5. Similar triangles with missing lengths
  • 6. Parallel Lines Proportionality Theorem
  • 7. Triangle proportionality theorem
  • 8. Proportionality property 2

5.1.

Ratios and Proportions Exploration 1.4

After writing your ratios and making predictions on 1.3, check your answers by sliding the slider in this sketch.
Ratios and Proportions Exploration 1.4
– matthewefeist_1

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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Information