Geometry

HamiltonCityABLE, Jan 18, 2016

Table of Contents

  1. Parallel Lines
    1. Parallel Lines
    2. Exploring Parallel Lines
  2. Perpendicular Lines
    1. Perpendicular Lines
    2. Exploring Perpendicular Lines
  3. Triangles
    1. Scalene Triangle
    2. Isosceles Triangle
  4. Quadrilaterals
    1. Basic Quadrilateral
    2. Basic Trapezoid
    3. Isosceles Trapezoid
    4. Basic Parallelogram
    5. Rhombus
    6. Rectangle
    7. Square

1.

Parallel Lines

  • 1. Parallel Lines
  • 2. Exploring Parallel Lines

1.1.

Parallel Lines

Line [math]a[/math] and Line [math]b[/math] are parallel lines. They have the same slope. Move line [math]a[/math]. The slope for line a stays the same as line [math]b[/math]'s. [math]y=mx+b[/math] is the slope-intercept form of a linear equation. The slope is [math]m[/math].
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1.2.

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2.

Perpendicular Lines

  • 1. Perpendicular Lines
  • 2. Exploring Perpendicular Lines

2.1.

Perpendicular Lines

Line [math]a[/math] and Line [math]b[/math] are perpendicular lines. Their slopes are negative reciprocals. Move line [math]a[/math]. Line [math]a[/math] stays perpendicular to line [math]b[/math]. [math]y=mx+b[/math] is the slope-intercept form of a linear equation. The slope is [math]m[/math].
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2.2.

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3.

Triangles

  • 1. Scalene Triangle
  • 2. Isosceles Triangle

3.1.

Scalene Triangle

A triangle has 3 sides.[br][br]The internal angles of any triangle sum to 180 degrees.[br][br]For any triangle [math]s_1 + s_2 \geqslant s_3[/math].[br][br]A basic kind of triangle is a scalene triangle.[br]A scalene triangle has 3 unequal sides.
Scalene Triangle
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3.2.

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4.

Quadrilaterals

  • 1. Basic Quadrilateral
  • 2. Basic Trapezoid
  • 3. Isosceles Trapezoid
  • 4. Basic Parallelogram
  • 5. Rhombus
  • 6. Rectangle
  • 7. Square

4.1.

Basic Quadrilateral

This 4-sided figure is a basic quadrilateral. Its internal angles sum to 360 degrees.
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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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