Geometry

Thomas Wischer, matgreen9, Nov 18, 2014

Apps to be used in Geometry class

Table of Contents

  1. Constructions
    1. Centroid Construction Challenge #3
    2. Circumcenter of a Triangle
    3. Four Circumcenters in a Quadrilateral
  2. Pythagorean Theorem
    1. Pythagorean Theorem Proof without Words
    2. Rotating a Triangle Around a Coordinate Axis
  3. Circles
    1. Secant Lines Intersecting a Circle - Arcs and Angles
    2. Arc Length and Area of Circle
  4. Proofs
    1. Geometric Proof of the Distributive Property
  5. Triangles
    1. 03.03 Congruent SSS Triangle Assignment
    2. Similar Triangles
    3. Unit Circle - exact values
  6. Polygons
    1. Exploring Regular Polygons
    2. Regular Polygons – Apothem and Perimeter
    3. 5.2c Diagonals of Rhombuses 2
    4. 2.5 Diagonals of Parallelogram
    5. Area of a kite
  7. transformations
    1. What's My Rule #8?
    2. What's My Rule #7?
    3. What's My Rule #6?
    4. What's My Rule #5?
    5. What's My Rule #4?
    6. What's My Rule #3?
    7. What's My Rule #2?
    8. What's My Rule #1?
    9. What's My Rule #9?
    10. What's My Rule #10?

1.

Constructions

  • 1. Centroid Construction Challenge #3
  • 2. Circumcenter of a Triangle
  • 3. Four Circumcenters in a Quadrilateral

1.1.

Centroid Construction Challenge #3

Construct the centroid using the limited toolbar.[br]Your construction should pass the drag test!
– Steve Phelps

1.2.

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1.3.

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2.

Pythagorean Theorem

  • 1. Pythagorean Theorem Proof without Words
  • 2. Rotating a Triangle Around a Coordinate Axis

2.1.

Pythagorean Theorem Proof without Words

Move the endpoints of the segments and the X to change the shape. The slider translates the pieces into a new combination. What do you notice?
– Jed Butler

2.2.

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3.

Circles

  • 1. Secant Lines Intersecting a Circle - Arcs and Angles
  • 2. Arc Length and Area of Circle

3.1.

Secant Lines Intersecting a Circle - Arcs and Angles

Move points A, B, and C. Moving point A also will move point C. Move point R to change the radius of the circle. Observe the arc and angle measures.
How is the measure of angle ABC related to the measures of arcs AC and DE?
– Jerel Welker

3.2.

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4.

Proofs

  • 1. Geometric Proof of the Distributive Property

4.1.

Geometric Proof of the Distributive Property

Geometric Proof of the Distributive Property
– jtmace11

5.

Triangles

  • 1. 03.03 Congruent SSS Triangle Assignment
  • 2. Similar Triangles
  • 3. Unit Circle - exact values

5.1.

03.03 Congruent SSS Triangle Assignment

03.03 Assignment

This is a set of SSS congruent Triangles
– user3224

5.2.

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5.3.

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6.

Polygons

  • 1. Exploring Regular Polygons
  • 2. Regular Polygons – Apothem and Perimeter
  • 3. 5.2c Diagonals of Rhombuses 2
  • 4. 2.5 Diagonals of Parallelogram
  • 5. Area of a kite

6.1.

Exploring Regular Polygons

Take some time to investigate the properties of regular polygons.
– rehak1, user1989

6.2.

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6.3.

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6.4.

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6.5.

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7.

transformations

  • 1. What's My Rule #8?
  • 2. What's My Rule #7?
  • 3. What's My Rule #6?
  • 4. What's My Rule #5?
  • 5. What's My Rule #4?
  • 6. What's My Rule #3?
  • 7. What's My Rule #2?
  • 8. What's My Rule #1?
  • 9. What's My Rule #9?
  • 10. What's My Rule #10?

7.1.

What's My Rule #8?

What's my rule?
– Steve Phelps

7.2.

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7.3.

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7.4.

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7.5.

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7.6.

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7.7.

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7.8.

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7.9.

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7.10.

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Information