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Unit 4 by Mind Map: Unit 4

1. Geometric Figures

1.1. Plane Figures

1.1.1. Lines

1.1.1.1. Points

1.1.1.2. Collinear

1.1.1.3. Line Segment

1.1.1.4. Endpoints

1.1.1.5. Bisect

1.1.1.6. Midpoint

1.1.1.7. Half-Lines

1.1.1.8. Perpendicular

1.1.1.9. Parallel

1.1.1.10. Transversal

1.1.2. Plane

1.1.3. Angles

1.1.3.1. Side-Angle

1.1.3.2. Vertex

1.1.3.3. Angle Measurements

1.1.3.3.1. Degrees

1.1.3.3.2. Minutes

1.1.3.3.3. Seconds

1.1.3.3.4. Protractor

1.1.3.4. Right Angles

1.1.3.5. Acute Angles

1.1.3.6. Obtuse Angles

1.1.3.7. Straight Angles

1.1.3.8. Reflex Angles

1.1.3.9. Complementary

1.1.3.10. Supplementary

1.1.3.11. Adjacent Angles

1.1.3.12. Vertical Angles

1.1.3.13. Alternate Interior Angles

1.1.4. Curves

1.1.4.1. Simple Curve

1.1.4.2. Simple Closed Curve

1.1.4.3. Closed Curve

1.1.4.4. Jordan Curve Theorem

1.1.4.5. Plane Region

1.1.4.6. Concave

1.1.4.7. Convex

1.1.5. Circle

1.1.5.1. Center

1.1.5.2. Radius

1.1.5.3. Chord

1.1.5.4. Diameter

1.1.5.5. Tangent

1.1.5.6. Circumference

1.1.5.7. Disk

1.1.6. Polygons

1.1.6.1. Polygonal Region

1.1.6.2. Sides

1.1.6.3. Vertices

1.1.6.4. Adjacent Sides

1.1.6.5. Adjacent Vertices

1.1.6.6. Triangle

1.1.6.6.1. Acute Triangle

1.1.6.6.2. Right Triangle

1.1.6.6.3. Equilateral Triangle

1.1.6.6.4. Scalene Triangle

1.1.6.6.5. Isosceles Triangle

1.1.6.6.6. Obtuse Triangle

1.1.6.7. Quadrilateral

1.1.6.7.1. Trapezoid

1.1.6.7.2. Isosceles Trapezoid

1.1.6.7.3. Rhombus

1.1.6.7.4. Parallelogram

1.1.6.7.5. Rectangle

1.1.6.7.6. Square

1.1.6.8. Pentagon

1.1.6.9. Hexagon

1.1.6.10. Heptagon

1.1.6.11. Octagon

1.1.6.12. Nonagon

1.1.6.13. Decagon

1.1.6.14. Dodecagon

1.2. Polygons and Tessellations

1.2.1. Congruence

1.2.1.1. Congruent

1.2.2. Regular Polygons

1.2.2.1. Equilateral Triangle

1.2.2.2. Square

1.2.2.3. Regular Pentagon

1.2.2.4. Regular Hexagon

1.2.2.5. Regular Heptagon

1.2.3. Drawing Regular Polygons

1.2.3.1. Vertex Angle

1.2.3.2. Central Angle

1.2.3.3. Exterior Angle

1.2.3.4. Compass

1.2.3.5. Inscribed Polygon

1.2.4. Tessellations with Polygons

1.2.4.1. Tessellation

1.2.4.2. Vertex Points

1.2.4.3. Semiregular

1.3. Space Figures

1.3.1. Space

1.3.2. Planes

1.3.2.1. Half-Spaces

1.3.2.2. Parallel

1.3.2.3. Intersect

1.3.2.4. Dihedral Angle

1.3.3. Polyhedra

1.3.3.1. Polyhedron

1.3.3.1.1. Faces

1.3.3.1.2. Edges

1.3.3.1.3. Vertices

1.3.3.1.4. Solid

1.3.3.1.5. Convex

1.3.4. Regular Polyhedra

1.3.4.1. Regular Polyhedron

1.3.4.2. Tetrahedron

1.3.4.3. Cube

1.3.4.4. Octahedron

1.3.4.5. Dodecahedron

1.3.4.6. Icosahedron

1.3.4.7. Semiregular Polyhedra

1.3.5. Pyramids

1.3.5.1. Right Pyramids

1.3.5.2. Oblique Pyramid

1.3.5.3. Apex

1.3.6. Prisms

1.3.6.1. Bases

1.3.6.2. Right Prism

1.3.6.3. Oblique Prism

1.3.6.4. Solid Prism

1.3.6.5. Rectangular Solid

1.3.7. Cones and Cylinders

1.3.7.1. Base

1.3.7.2. Vertex

1.3.7.3. Right Cone

1.3.7.4. Oblique Cone

1.3.7.5. Cylinder

1.3.7.6. Right Cylinder

1.3.7.7. Oblique Cylinder

1.3.8. Spheres and Maps

1.3.8.1. Sphere

1.3.8.2. Center

1.3.8.3. Solid Sphere

1.3.8.4. Radius

1.3.8.5. Radius of the Sphere

1.3.8.6. Diameter

1.3.8.7. Diameter of the Sphere

1.3.8.8. Great Circle

1.3.8.9. Parallels of Latitude

1.3.8.10. Meridians of Longitude

1.3.8.11. Map Projections

1.3.8.12. Cylindrical Projection

1.3.8.13. Mercator Projection

1.3.8.14. Conic Projection

1.3.8.15. Plane Projection

1.3.8.16. Azimuthal Projection

1.4. Symmetric Figures

1.4.1. Reflection Symmetry for Plane Figures

1.4.1.1. Line of Symmetry

1.4.1.2. Reflection Symmetry

1.4.2. Rotation Symmetry for Plane Figures

1.4.2.1. Rotation Symmetry

1.4.2.2. Center of Rotation

1.4.3. Reflection Symmetry for Space Figures

1.4.3.1. Plane Symmetry

1.4.3.2. Images

1.4.3.3. Vertical Symmetry

1.4.4. Rotation Symmetry for Space Figures

1.4.4.1. Axis of Symmetry

2. Measurement

2.1. Systems of Measurement

2.1.1. Nonstandard Units of Length

2.1.1.1. Measuring

2.1.1.2. Unit of Measure

2.1.1.3. Measurement

2.1.1.4. Span

2.1.1.5. Foot

2.1.1.6. Hand

2.1.1.7. Cubit

2.1.1.8. Grain

2.1.1.9. Stone

2.1.1.10. Length

2.1.2. English Units

2.1.2.1. Inch

2.1.2.2. Foot

2.1.2.3. Yard

2.1.3. Weight

2.1.3.1. Troy Unit

2.1.3.2. Avoirdupois Unit

2.1.4. Temperature

2.1.4.1. Centigrade

2.1.4.2. Fahrenheit Scale

2.1.4.3. Celsius Scale

2.1.4.4. Kelvin Scale

2.1.5. Metric Units

2.1.5.1. Meter

2.1.5.2. Mega

2.1.5.3. Micro

2.1.5.4. Length

2.1.5.4.1. Meter

2.1.5.4.2. Centimeter

2.1.5.4.3. Millimeter

2.1.5.4.4. Kilometer

2.1.5.5. Volume

2.1.5.5.1. Liter

2.1.5.5.2. Milliliter

2.1.5.5.3. KiloLiter

2.1.5.5.4. Cubic Decimeter

2.1.5.5.5. Cubic Centimeter

2.1.5.6. Mass

2.1.5.6.1. Weight

2.1.5.6.2. Kilogram

2.1.6. Precision and Small Measurements

2.1.6.1. Precision

2.1.7. International System of Units

2.1.7.1. Second

2.1.7.2. Ampere

2.1.7.3. Candela

2.1.7.4. Mole

2.2. Area and Perimeter

2.2.1. Nonstandard Units of Area

2.2.1.1. Area

2.2.1.2. Acre

2.2.1.3. Scheffel of Land

2.2.2. Catenary

2.2.3. Standard Units of Area

2.2.3.1. Square Inch

2.2.3.2. Square Foot

2.2.3.3. Square Yard

2.2.3.4. Square Mile

2.2.3.5. Metric Units

2.2.3.5.1. Square Meter

2.2.3.5.2. Square Centimeter

2.2.3.5.3. Square Millimeter

2.2.3.5.4. Square Kilometer

2.2.4. Perimeter

2.2.5. Areas of Polygons

2.2.5.1. Area of Rectangles

2.2.5.2. Area of Parallelogram

2.2.5.2.1. Base

2.2.5.2.2. Height

2.2.5.2.3. Altitude

2.2.5.3. Area of Triangle

2.2.5.3.1. Altitude

2.2.5.3.2. Base

2.2.5.3.3. Height

2.2.5.4. Area of Trapezoid

2.2.5.4.1. Lower Base

2.2.5.4.2. Upper Base

2.2.5.4.3. Height

2.2.5.4.4. Altitude

2.2.6. Circumferences and Areas of Circles

2.2.6.1. Circumference

2.2.6.2. Pi

2.2.6.3. Sectors

2.2.6.4. Area of Cirlce

2.2.7. Are

2.2.8. Hectare

2.3. Volume and Surface Area

2.3.1. Nonstandard Unit of Volume

2.3.1.1. Volume

2.3.1.2. Cubic Units

2.3.2. Standard Units of Volume

2.3.2.1. English Units

2.3.2.1.1. Cubic Inch

2.3.2.1.2. Cubic Foot

2.3.2.1.3. Cubic Yard

2.3.2.2. Metric Units

2.3.2.2.1. Cubic Millimeter

2.3.2.2.2. Cubic centimeter

2.3.2.2.3. Cubic Meter

2.3.3. Surface Area

2.3.4. Volume and Surface Areas of Space Figures

2.3.4.1. Volume Equation

2.3.4.2. Volume of Prism

2.3.4.2.1. Height

2.3.4.2.2. Altitude

2.3.4.3. Volume of Cylinder

2.3.4.4. Surface Area of Cylinder

2.3.4.5. Volume of Pyramid

2.3.4.6. Volume of Cone

2.3.4.7. Volume of Sphere

2.3.4.8. Surface Area of Sphere

2.3.5. Irregular Shapes

2.3.6. Creating Surface Area