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What is Geometry?

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Nicole Bentley

on 9 April 2014

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Transcript of What is Geometry?

What is Geometry?
Two-dimensional Figures
While you are studying geometry you will work with two-dimensional figures. These include: squares, circles, triangles, trapezoids, and much more. You are going to find the area, perimeter, and diagonals of theses figures during your studying.
Volume
During this chapter you will study the following:
Volume of Prisms and Cylinders
Volume of Pyramids and Cones
Displacement and Density
Volume of a Sphere
Surface Area of a Sphere
Discovering and Proving Polygon Properties
Another subject you study in geometry is polygons. During this subject you will study the following:
Polygon Sum Conjecture
Exterior Angles of a Polygon
Kite and Trapizoid Properties
Properties of Midsegments
Properties of Parallelograms
Properties of Special Parallelograms
Proving Quadrilateral Properties
Basics
A point has no dimension; it is just a location. A line is one-dimensional.
A plane is two-dimensional.
A solid is three dimensional.
Definition
Geomety is the branch of mathematics that deals with the deduction of the properties, measurement, and relationships of points, lines, angles, and figures in space from their defining conditions by means of certain assumed properties of space. (dictionary.com) Points, lines, and circles are the most basic of the geometric object studied in this branch.
Three-dimensional Figures
While studying three-dimensional figures you will work on surface area and volume. They include spheres, cylinders, cones, cubes, and much more.
Area
During this chapter you will learn the following:
Areas of Rectangles and Parallelograms
Areas of Triangles, Trapezoids, and Kites
Area Problems
Areas of Regular Polygons
Areas of Circles
Surface Area
Discovering and Proving Triangle Properties
One noteable geometric figure is the triangle. While studying triangles you will work on the following:
Triangle Sum Conjecture
Properties of Isosceles Triangles
Triangle Inequalities
Congruence Shortcuts
Corresponding Parts of Conguent Triangles
Proving Special Triangle Conjectures
The Pythagorean Theorem
During this chapter you will learn the following:
The Theorem of Pythagoras
The Converse of the Pythagorean Theorem
Two Special Right Triangles
Distance in Coordinate Geometry
Circles and the Pythagorean Theorem
Discovering and Proving Circle Properties
During the chapter of Circle Properties you will learn the following:
Tangent Properties
Chord Properties
Arcs and Angles
Intersecting Lines Through a Circle
Transformations and Tessellations
During this chapter you will learn the following:
Transformations and Symmetry
Properties of Isometrics
Compositions of Transformations
Tessellations with Regular Polygons
Tessellations with Nonregular Polygons
Tessellations Using Only Translations
Tessellations That Use Rotation
Tessellations That Use Glide Reflections
Similarity
During this chapter you will study the following:
Similar Polygons
Similar Triangles
Indirect Measurement with Similar Triangles
Corresponding Parts of Similar Triangles
Proportions with Area
Proportions with Volume
Proportional Segments Between Parallel Lines
Trigonometry
During this chapter you will study the following:
Trigonometric Ratios
Problem Solving with Right Triangles
The Laws of Sines
The Laws of Cosines
Thanks for Watching!
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