What is in the geometry curriculum?

[tennis123]

I found a book that is about geometry, but I'm not sure if it actually is what you learn in the geometry course, so could someone outline the standard geometry curriculum?

[fishythefish]

It would really depend on what you look at. Different states might have different curricula, and it depends on whether your book is high school level geometry. The method I learned is proving everything from 24 postulates, but the curriculum is hard to define.

[isabella2296]

In New Jersey, we begin with some postulates, basic 2-column proofs, then move onto triangles, rectangles, circles, polygons, common formulas and problems, basic-basic-basic trigonometry. Essentially, it's a watered down version of Introduction to Geometry (AoPS.)

[PowerOfPi]

I take Geometry this year and, according to my text book, the curriculum (summarized) looks like the following:
- Defining points, lines, planes, and angles
- Starting logic and reasoning, leading into two-column proofs
- Perpendicular and parallel lines
- Congruent Triangles (not similar yet) - This is where we are right now in the year
- Intro to Quadrilaterals
- Proportion and Similarity
- Intro to right triangles, leading into the idea of very basic trig (like what isabella2296 said)
- Intro to circles
- Polygons and their areas
- Surface area and volume
- Intro to Coordinate Geometry
- Coordinate Transformations and such

Basically, you define the things that make up geometry, discover how to prove things (very basic compared to high school competitions, I would say), and take a look at different shapes, including right triangles, which is where trig comes in. My curriculum finishes with coordinate geo.

[steve123456]

I, like PowerofPi, am taking Geometry this year. However, it's 8th grade geometry, and is very basic. This is what we have in our textbooks.

-Defining angles, lines, line segments, etc.
-Inductive and Deductive Reasoning, Conditional and Biconditional statements
-two column proofs, flowchart proofs, algebraic proofs, geometric proofs and paragraph proofs
-Parallel Lines and Transversals, Perpendicular Lines, Slope
-Congruent Triangles
-Properties of Triangles i.e. Angle Bisectors of Triangle are concurrent(This is where we are)
-Intro to polygons and quadrilaterals
-Similarity
-Basic Trigonometry and Right Triangles
-Perimeter, Circumference, Area
-3-dimensional figures(spatial reasoning)
-Properties of Circles
-Transformational Geometry
-Coordinate Geometry

This is my basic Geometry course. We look into shapes, and get an intro into 3-dimensional figures. We do some basic trigonometry and later do some coordinate geometry.