CCSS High School: Geometry (Geometric shapes)

Tim Brzezinski, Edward Knote, May 9, 2017

[b]This GeoGebra Book contains lots of discovery-based learning activities, investigations, and meaningful remediation worksheets that were designed to help enhance students' learning of geometry concepts both inside and outside of the mathematics classroom. [color=#1551b5]This GeoGebra Book also contains contributions from Samantha Cruz ([url]https://www.geogebra.org/scruz10[/url])[/color] [/b]

Table of Contents

  1. HSG.GPE.B.4
    1. Parallelogram Creation Exercises (I)
    2. Parallelogram Creation Exercise (II)
    3. Parallelogram Creation Exercise (III)
    4. Parallelogram: Coordinate Geometry Setup
    5. Parallelogram Diagonals
    6. Isosceles Triangle Medians
    7. Rectangle Diagonals
    8. Isosceles Trapezoid Diagonals
    9. Isosceles Trapezoid Midpoints
    10. Rhombus Diagonals
    11. Inscribed Angle Intercepts Semicircle
    12. 3 Special Points!
    13. Finsler-Hadwiger Exercise (VA)
    14. Finsler-Hadwiger Exercise (VB)
    15. Slope to Angle Measure Calculator (I)
    16. Slope to Angle Measure Calculator (II)
  2. Links to Other CCSS High School: Geometry Standards
    1. Geometry Resources

1.

HSG.GPE.B.4

  • 1. Parallelogram Creation Exercises (I)
  • 2. Parallelogram Creation Exercise (II)
  • 3. Parallelogram Creation Exercise (III)
  • 4. Parallelogram: Coordinate Geometry Setup
  • 5. Parallelogram Diagonals
  • 6. Isosceles Triangle Medians
  • 7. Rectangle Diagonals
  • 8. Isosceles Trapezoid Diagonals
  • 9. Isosceles Trapezoid Midpoints
  • 10. Rhombus Diagonals
  • 11. Inscribed Angle Intercepts Semicircle
  • 12. 3 Special Points!
  • 13. Finsler-Hadwiger Exercise (VA)
  • 14. Finsler-Hadwiger Exercise (VB)
  • 15. Slope to Angle Measure Calculator (I)
  • 16. Slope to Angle Measure Calculator (II)

1.1.

Parallelogram Creation Exercises (I)

[color=#000000]In the applets below, 3 vertices of a parallelogram are shown.[br]The coordinates (x,y) of these vertices are also displayed as well. [br][br]In each task below, determine the coordinates of each parallelogram's 4th vertex. [br]Plot this point in the coordinate plane. [br]Feel free to use any of the tools of the limited toolbar when doing so. [br]Then, use the Polygon tool to construct the parallelogram.[br][br]Afterwards, use any of the tools of each applet's limited toolbar to clearly show that the quadrilateral you've constructed is indeed a parallelogram. [/color]
– Tim Brzezinski

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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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1.12.

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1.13.

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1.14.

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1.15.

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1.16.

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2.

Links to Other CCSS High School: Geometry Standards

  • 1. Geometry Resources

2.1.

Geometry Resources

[list][*][b][url=https://www.geogebra.org/m/z8nvD94T]Congruence (Volume 1)[/url][/b][/*][*][b][url=https://www.geogebra.org/m/munhXmzx]Congruence (Volume 2)[/url][/b][/*][*][b][url=https://www.geogebra.org/m/dPqv8ACE]Similarity, Right Triangles, Trigonometry[/url][/b][/*][*][b][url=https://www.geogebra.org/m/C7dutQHh]Circles[/url][/b][/*][*][b][url=https://www.geogebra.org/m/K2YbdFk8]Coordinate and Analytic Geometry[/url][/b][/*][*][b][url=https://www.geogebra.org/m/xDNjSjEK]Area, Surface Area, Volume, 3D, Cross Section[/url] [/b][/*][*][b][url=https://www.geogebra.org/m/NjmEPs3t]Proof Challenges[/url]  [/b][/*][/list]
What phenomenon is dynamically being illustrated here? (Vertices are moveable.)
What phenomenon is dynamically being illustrated here? (Vertices are moveable.)
– Tim Brzezinski

Information