**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

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