Geometry

When you work on math of any type it is important to master a skill before you move on.  So spend as many days as needed so that you can get five in a row correct before moving on to the next day.

Angle Basics and Measurment
1.Watch Introduction to Euclidian Geometry , Language and Notation of Basic Geometry , Lines, Line Segments and Rays  This should be review so we will be doing quite a few lessons the first few days of geometry as a review.
Practice Recognizing Lines, Line Segments and Rays
If you feel you are not in need of review you may of course start geometry at a place where it challenges you.

2.More review videos and exercises.  Watch Drawing Lines Exercise Example
Practice Drawing Lines
Watch Specifying Planes in Three Dimensions
Practice Points, Lines and Planes
Watch Language and Notation of a Circle and The Golden Ratio

3.Watch more review videos.  Angle Basics, Measuring Angles in Degrees, Using a Protractor, Measuring Angles
Practice Measuring Angles

4.Watch Acute and Obtuse Angles
Practice Acute and Obtuse Angles
Watch vertical adjacent and linearly paired angles
Practice Exploring Angle Pairs

Angles with Intersecting and Parallel Lines
5.Watch Introduction to Vertical Angles
Practice Vertical Angles
Watch Using Algebra to find the measure of Vertical Angles
Practice Vertical Angles 2
Watch Proof that Vertical Angles are Equal, Angles Formed by Parallel Lines and Transversals,
Identifying Parallel and Perpendicular Lines and Figuring Out Angles Between Transversal and Parallel Lines
Practice Congruent Angles

6. Practice Parallel Lines
Watch Using Algebra to Find Measures of Angles Formed from Transversal
Practice Parallel Lines 2

Angles with Triangle and Polygons
7. Watch Deducing Angle Measures,  Proof that the Sum of Measures of Angles in a triangle are 180 Degrees, Triangle Example 1,  Triangle Example 2,  Triangle Example 3

8. Watch Challenging Angle Triangle Problem,  Corresponding Angle Equivalence Implies Parallel Lines,  Finding More Angles
Practice Angles 1 and Angles 2

9. Watch Sum of Interior Angles of a Polygon
Practice Angles of a Polygon

10. Watch Sum of the Exterior Angles of a Convex Polygon


Complimentary and Supplementary Angles

11. Watch Complimentary and Supplementary Angles
Practice Complimentary and Supplementary Angles

12. Watch Using Algebra to Find Measure of Complementary Angles and Using Algebra to Find Measure of Supplementary Angles
Practice Angle Addition Postulate

Transformations and Congruence

13. Watch Testing Congruence by Transformations Example and Another Example
Practice Exploring Rigid Transformations and Congruence

14. Watch Example of Rigid Transformation and Congruence and Another Example
Practice Defining Congruence through Rigid Transformations

Congruent Postulates

15. Watch Congruent Triangle an SSS and SSS to Show a Radius is Perpendicular to a Chord that is Bisects

16. Watch Other Triangle Congruence Postulates  and Two Column Proof Showing Segments are Perpendicular and Finding Congruent Triangles
Practice Congruency Postulates

17. Watch More on why SSA is not a Postulate and Perpendicular Radius Bisects Chord

18. Watch Congruent Triangle Proof Example and Example 2
Practice Congruent Triangles 1 and Congruent Triangles 2

Congruence and Isosceles and Equilateral Triangles

19 . Watch Congruent Legs and Base Angles of Isosceles Triangles and Equilateral Triangle Sides ad Angles Congruent and Equilateral and Isosceles Example Problems
Practice Triangle Types and Triangle Angles

20. Watch Another Isosceles Example Problem and Example Involving and Isosceles Triangle and Parallel Lines

21. Figuring Out all the Angles for Congruent Triangles Example and Problem Involving Angle Derived from Square and Circle

Similarities and Transformations

22. Watch Testing Similarity through Transformations
Practice Exploring Angle Preserving Transformations an Similarity

23. Watch quadrilateral Similarity by Showing Congruent Angles
Practice Defining Similarity through Angle Preserving Transformations

Triangle Similarity

24. Watch Similar Triangle Basics and Similarity Postulates
Practice Similar Triangles 1

25. Watch Similar Triangle Example Problems
Practice Similar Triangles 2

26. Watch Similarity Example Problems
Practice Solving Similar Triangles 1

27. Watch Similarity Example Where Same Side Plays Different Roles
Practice Solving Similar Triangles 2

28. Watch Finding Area Using Similarity and Congruence , Golden Ratio and Rembrandt's Portrait
and Triangle Similarity in Pool

29. Watch Golden Ratio to Find Radius of Moon and Challenging Similarity Problem
Practice Solving Problems with Similar and Congruent Triangles

Right Triangles and Trigonometry

30. Watch Pythagorean Theory a2 x b2 = c2
Here is a math joke for you.
 And, speaking of Geometry, I’m sure you all heard of, and know, “THE PYTHAGOREAN PROPOSITION” a/k/a “ THE PYTHAGOREAN  THEOREM”
For those that don’t know; Pythagoras was an ancient Greek Mathematician.  He came up with a Proposition or Theorem, which, by definition, is like a theory that  has to be proven. His Proposition involved a Right Triangle and his theory was :
“THE SQUARE OF   THE  HYPOTENUSE (of a right triangle), IS  EQUAL TO THE  SUM  OF  THE   SQUARES  OF   THE  OTHER  TWO  SIDES.
    It   took an Indian Chief , named   “SHORTCAKE”, (more about him later), to finally prove that Proposition.  It happened like this:
SHORTCAKE  had three (3) SQUAWS ,(wives),. The first SQUAW always slept on a Bear Skin, or Hide; the second  SQUAW  always slept on an Elk Hide, and the 3d  SQUAW always slept on an Hippopotamus Hide.
    Over the course of time, the Squaw that slept on the Bear Hide gave birth to a baby boy.  That same year, the Squaw that slept on the Elk Hide gave birth to a baby boy also. Both these Squaws looked down on the Squaw that slept on the Hippopotamus Hide, as not being their equal, and somehow beneath them, because she had nothing.
    However, early the next year, the Squaw that slept on the Hippopotamus Hide gave birth to TWIN BOYS. As such, she not only became the favorite wife of Shortcake, she also PROVED that:

“THE SQUAW OF THE HIPPOPOTAMUS IS EQUAL TO THE SONS OF THE SQUAWS OF THE OTHER TWO HIDES.”  

31. Watch The Pythagorean Theorem and The Pythagorean Theory 1
Practice The Pythagorean Theory

32. Watch Pythagorean Theory 2 and Pythagorean Theory 3
Practice Pythagorean Theorem 1

33. Watch Garfield's Proof of the Pythagorean Theory more proof Bhaskara's Proof of Pythagorean Theorem

Special Right Triangles

34. Watch 30 60 90 Triangle Side Ratios Proof and 45 45 90 Triangle Side Ratios
Example 30 60 90 Triangle Example Problem
Practice Special Right Triangles

35. Watch Area or a Regular Hexagon

Sine, Cosine and Tangent Trigonometric Functions

36. Watch Basic Trigonometry and Example Using Soh Cah Toa
Practice Trigonometry 0.5

37. Watch Basic Trig II
Practice Trigonometry 1

38. Practice Trigonometry 1.5

39. Watch Example: Trig to solve the Sides and Angles of a Right Triangle
Practice Trigonometry 2

Trig Ratios and Similarities

40. Watch  Similarity to Define Sine, Cosine and Tangent and Sine and Cosine of Compliments Example

41. Watch Showing Relationships Between Cosine and Sine of Complements and Examples with Trig Functions and Ratios

42. Watch Example Relating Trig Function to Side Ratios
Practice Trigonomic Functions and Side Ratios in Right Triangles
Remember, the goal is mastery, not speed.

Perimeter, Area and Volume

43.Watch Perimeter and Area Basics and Triangle Area Proofs
Practice Area of a Triangle

44. Watch Interesting Perimeter and Area Problems and Area of a Diagonal Generated Triangles or a Rectangle are Equal   and Area of an Equilateral Triangle

45. Watch Area of a Shaded Region Made from Equilateral Triangles
Practice Shaded Areas

46. Watch   Challenging Perimeter Problem

47. Watch Triangle Inequality Theorem
Practice Triangle Inequality Theorem

48. Watch Koch Snowflake Fractural and Area of an Equilateral Triangle

49. Watch Area of a Koch Snowflake Part 1 Advanced and Area of a Koch Snowflake Part 2 Advanced

50. Watch Heron's Formula and Part 1 Proof of Heron's Formula

51. Watch Part 2 Proof of Heron's Formula

52. Watch Circles: Radius, Diameter and Circumference and Parts of a Circle
Practice Radius, Diameter and Circumference

53. Watch Area of a Circle
Practice Area of a Circle

54. Watch Quadrilateral Overview, and Quadrilateral Properties

55. Watch Area of a Parallelogram
Watch Area of a Parallelogram

56. Watch Area of a Trapezoid and Area of a Kite
Practice Area of a Trapezoid, Rhombi and Kites

57. Watch Perimeter of a Parallelogram and Perimeter of a Non-Standard Polygon
Practice Areas of Quadrilaterals and Polygons

58. Watch Solid Geometry Volume, Cylinder Volume and Surface Area and Volume of a Sphere
Practice Solid Geometry

59. Watch How Many People can a Blimp Carry
Practice Surface and Volume Density Word Problems

60. Watch How Far can you see from a Plane Window
Practice 2D Directional Models

Circles- Remember to make sure you are understanding each concept before moving on.  The goal is to learn math, not just get through math.

61. Watch Language and Notation of the Circle, Circles: Radius, Diameter and Circumference

62. Watch Length of and Arc that Subtends a Central Angle, Finding Central Angle Measure Given Arc Length
Practice Circles and Arcs

63.  Watch Area of a Sector Given a Central Angle
Practice Areas of Sectors and Circles

64. Watch Inscribed and Central Angles
Practice Inscribed Angles 1

65. Watch Measure of a Circumscribed Angle, Example with Tangent and Radius and Hypotenuse of Right Triangle Inscribed in Circle
Practice Central, Inscribed and Circumscribed Angles

66. Watch Equation for a Circle Using the Pythagorean Theorem, Completing the Square to Write Equation in Standard Form of a Circle and Pythagorean Theorem and Radii of Circles
Practice Pythagorean Theorem and the Equation of a Circle

67. Watch SSS to Show a Radius is Perpendicular to a Chord that it Bisects
Practice Circles and Arcs

68. Watch Perpendicular Radius Bisects Chord and Area of an Inscribed Equilateral Triangle (Some Basic Trig Used)
Practice Areas of Sectors and Circles

69. Watch Geometry Dance  yep, it's okay to take a break.

Special Properties and Parts of a Triangle

70. Watch Circumcenter of a Triangle and Circumcenter of a Right Triangle

71. Watch Three Points Defining a Circle and Area Circumradius Formula Proof

72. Watch AIME II Problem 7

73. Watch Point-line Distance and Angle Bisectors and Incenter and incircles of a Triangle

74. Watch Inradius Perimeter and Area, Angle Bisector Theorem Proof and Angle Bisector Theorem Examples
Practice Angle Bisector Theorem Proof

75. Watch Triangle Medians and Centroids and Triangle Medians and Centroids 2D Proof

76. Watch Medians Divide into Smaller Triangles of Equal Area and Exploring Medial Triangles

77. Watch Proving that the Centroids is 2/3rds Along the Median and Median Centroid Right Triangle Example

78. Watch Triangle Altitudes are Congruent (orthocenter) and Common Orthocenter and Centroid

79. Watch Review of Triangle Properties, Euler Line and Euler's Line Proof
Practice Euler Line This movable Euler line may help you visualize what is being taught.  Play around with it and read about Euler, centroid, circumcenter and orthocenter.

Quadrilaterals

80. Watch Quadrilateral Overview, Quadrilateral Properties and Kites as a Mathematical Shape

81. Watch Quadrilateral Types Exercise
Practice Quadrilateral Types

82. Watch Proof: Opposite Sides of a Parallelogram Congruent, Proof: Diagonals of a Parallelogram Bisect Each Other and Proof: Opposite Angles of a Parallelogram Congruent
Practice Quadrilateral Angles

83. Watch Proof: Rhombus Diagonals are Perpendicular Bisectors , Proof: Rhombus area Half Product of diagonal Length and Area of a Parallelogram
Practice Area of a Parallelogram Print out results and save in your portfolio.

84. Watch Whether a Special Quadrilateral can Exist 

Transformations

85. Watch  Axis of Symetry
Practice Axis of Symetry

86. Watch Rotating Polygons , Constructing Quadrilaterals Based on Symmetry and Reflecting Across Two Lines
Practice Symmetry of Two Dimensional Shapes

87. Watch Rotating Segment about Origin Example and Reflecting Line Across Another Line Example
Practice Properties of Rigid Transformations

88. Watch Translations of Polygons and Determining a Translation for a Shape
Practice Translations of Polygons

89. Watch Rotation of Polygons Example
Practice Rotation of Polygons

90. Watch Dilating One Line onto Another, Comparing Side Lengths After Dilation , Thinking about Dilations and Dilating from and Arbitrary Point Example
Practice Dilations

91. Watch Preforming a Rotation to Match Figures, Reflection and Matching Points Example and Scaling Down a Triangle by Half
Practice Preforming Transformations on a Coordinate Plane

92. Watch Possible Transformations Example
Practice Qualitatively Defining Rigid Transformations

93. Watch Determining the Line of Reflection and Determining Translations Between Points
Practice Quantitatively Defining Rigid Transformations

94. Watch Defining Transformations to Match Polygons
Practice Transforming Polygons

Analytic Geometry

95. Watch Recognizing Point on a Circle and  Classifying a Quadrilateral on the Coordinate Plane

96. Watch Recognizing Similar Triangles  in the Coordinate Plane
Practice Geometry Problems on the Coordinate Plane

97. Watch Which Minions can the Wizard Reach
Practice Coordinate Plane Word Problems with Polygons

98. Watch Distance Formula
Practice Distance Formula

99. Watch Midpoint Formula
Practice Midpoint Formula

100. Watch Ratio of Distances Between Colinear Points and Finding a Point Part Way Between Two Points
Practice Dividing Line Segments

Geometric Constructions

101. Watch Constructing a Perpendicular Bisector Using a Compass and Straight Edge, Example 2 and Example 3
Practice Compass Constructions

102. Watch Constructing Square Inside of Circle, Constructing Equilateral Triangle Inscribed in Circle and Constructing Regular Hexagon Inscribed in Circle
Practice Compass Constructions 2

103. Watch Construction Circle Inscribing Triangle and Constructing a Circumscribing Cirlce
Practice Inscribing and Circumscribing Circles on a Triangle

104. Practice Constructing a Line Tangent to a Circle

This is the end of the geometry section.  If you have finished before the school year has ended you should go to the Algebra II section and begin working through it.
If you feel like you need to review geometry, go ahead and work through what you are able to on this page.