Geometry

Briar-Rose Mackey, Mar 4, 2025

Geometry

Table of Contents

  1. 2D Shapes
    1. 2D shapes
    2. Copy of 2D Shapes
    3. Congruent shapes
    4. Area of a Rhombus
  2. Area
    1. Trapezoid: Area (I)
    2. Area of a Sector
    3. Parallelogram Area
    4. Rectangle Area
  3. Volume
    1. Calculating Volume with Invisible Cubes
    2. Area of a Circle - Wedge Demo 1
    3. Volume of rectangular prisms
    4. UNIT 11 LESSON 2: VOLUME OF A CONE
  4. Surface Area
    1. Surface Area & Volume: Right Prism
    2. Surface Area Problems
    3. 514 - Surface Area Game
    4. Area of a Circle
  5. Perimeter
    1. Regular Polygons: Perimeter & Area
    2. Perimeter and Area 2
    3. Perimeter - Area Challenges
    4. Perimeter & Circumference
    5. Perimeter of a Rectangle
  6. Lines
    1. Perpendicular Lines: Quick Intro
    2. Perpendicular Lines Definition (& Consequence)
    3. Parallel Lines, Skew Lines, Parallel Planes
    4. Parallel & Perpendicular Lines
    5. Line Symmetry
  7. Angles
    1. Animated view of right angles.
    2. Angle
    3. Copy of Animated acute angles
    4. Isosceles Right Triangle: Quick Investigation

1.

2D Shapes

  • 1. 2D shapes
  • 2. Copy of 2D Shapes
  • 3. Congruent shapes
  • 4. Area of a Rhombus

1.1.

2D shapes

2D shapes
You can count [u]sides[/u] and [u]vertices[/u] to name two-dimensional shapes.
2D shapes
Different Shapes according their sides and vertices
You can count sides and vertices to name two-dimensional shapes. Look at how many sides and vertices each shape has
Match the shape and their name
sides and vertex
Answer the question
A square has
A figure with 3 sides and 3 vertices is a...
A pentagon has
– Alejandra Solano

1.2.

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1.3.

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1.4.

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2.

Area

  • 1. Trapezoid: Area (I)
  • 2. Area of a Sector
  • 3. Parallelogram Area
  • 4. Rectangle Area

2.1.

Trapezoid: Area (I)

1.
[color=#000000]In the [/color][color=#ff00ff][b]trapezoid[/b][/color][color=#000000] above, suppose base_1 = 6 cm, base_2 = 3 cm, and height = 5 cm.[br]What would the area of the [/color][color=#ff00ff][b]trapezoid[/b][/color][color=#000000] be? [/color]
2.
Without looking up the formula on another tab in your internet browser, describe below, in your own words, how you could find the [b][color=#ff00ff]area of ANY TRAPEZOID[/color][/b] in terms of both its bases and its height.
Quick (Silent) Demo
– Tim Brzezinski

2.2.

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2.3.

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2.4.

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3.

Volume

  • 1. Calculating Volume with Invisible Cubes
  • 2. Area of a Circle - Wedge Demo 1
  • 3. Volume of rectangular prisms
  • 4. UNIT 11 LESSON 2: VOLUME OF A CONE

3.1.

Calculating Volume with Invisible Cubes

Calculate the volume of prisms with invisible cubic units. Develop patterns for finding volume without counting each cubic unit.
– GeoGebra Content Team

3.2.

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3.3.

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3.4.

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4.

Surface Area

  • 1. Surface Area & Volume: Right Prism
  • 2. Surface Area Problems
  • 3. 514 - Surface Area Game
  • 4. Area of a Circle

4.1.

Surface Area & Volume: Right Prism

Twice the area of the [color=#980000][b]base[/b][/color]and [color=#980000][b]top[/b][/color].[br]Twice the area of the [b][color=#0000ff]front[/color][/b] and [b][color=#0000ff]back[/color][/b].[br]Twice the area of the [b][color=#38761d]left[/color][/b] and [color=#38761d][b]right[/b][/color] sides.[br]The sum gives the [b]Surface Area[/b].[br]The product of the l, w, and h is the [b]Volume[/b].[br]Moving the sliders give different dimensions to the right prism.[br]Move the Net slider to open the net of the prism interactively.
Alternate version of Surface Area
– GeoGebra Content Team, Auston B Cron

4.2.

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4.3.

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4.4.

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5.

Perimeter

  • 1. Regular Polygons: Perimeter & Area
  • 2. Perimeter and Area 2
  • 3. Perimeter - Area Challenges
  • 4. Perimeter & Circumference
  • 5. Perimeter of a Rectangle

5.1.

Regular Polygons: Perimeter & Area

[color=#000000]This applet accompanies the[/color][color=#ff00ff] [i]Perimeter and Area of Regular Polygons[/i][/color][color=#000000] investigation given to you at the beginning of class. [/color]
– Tim Brzezinski

5.2.

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5.3.

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5.4.

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5.5.

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6.

Lines

  • 1. Perpendicular Lines: Quick Intro
  • 2. Perpendicular Lines Definition (& Consequence)
  • 3. Parallel Lines, Skew Lines, Parallel Planes
  • 4. Parallel & Perpendicular Lines
  • 5. Line Symmetry

6.1.

Perpendicular Lines: Quick Intro

WARM UP:
The lines below are said to be [b]perpendicular lines[/b]. [br][br]
Move the LARGE POINTS around a bit, then answer the question that appears below.
[b]What does it mean for two lines to be perpendicular? [/b]
– Tim Brzezinski

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.

Angles

  • 1. Animated view of right angles.
  • 2. Angle
  • 3. Copy of Animated acute angles
  • 4. Isosceles Right Triangle: Quick Investigation

7.1.

Animated view of right angles.

Animated view of right angles.
Animated view of right angles.
– Duane Habecker

7.2.

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7.3.

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7.4.

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Information