- Geometric drawings lead to new ideas.
- Geometric drawings provide support to ideas used in Algebra as axioms.
- Geometric drawings can be used in proofs.

If you take an Introductory course in Geometry, most areas in it will ask you to do proofs.

Geometry stole the story of right triangles, sines, cosines and tangents from Trigonometry. It's kind of like the star with the name Sol capturing Pluto. We now view all of Trigonometry as being a subset of Geometry.

Geometry is the study of line segments and angles. Geometry teachers seem happier when two lines are parallel and we believe we should just let parallelize most of the line pairs that they draw.

Trigonometry is the geometry of right triangles. There are relations between the sides and angles of a right triangle. Three functions are defined by ratios of one side to another. These are the trig functions, sine, cosine and tangent (these are calculated using the buttons on your calculator marked sin, cos, tan).

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