If you want to do well in Geometry, learn the terminology first.
There's a lot of it. Terms build on previous terms. And most importantly, there are advantages of familiarity with terms:
- no surprises on tests
- quicker applications (because you will remember mathematical aspects of terms)
- easier to move from one subject to the next
- easier to find your way around the textbook
- easier to show your work even when you can't find the answer
- easier to work your way through to an answer when you completely forgot how it's done
I'm serious! Don't whip out the calculator until you're sure you know what they're talking about. Read the definitions before you start on the problem-solving. You might even have a scratch pad handy to do some sketching of shapes.
Terminology for geometry includes
- Parallel and normal/perpendicular (lines)
- Congruent and similar (triangles and other shapes)
- Hypotenuse and leg (right triangles)
- Sine, cosine and tangent (trig identities)
- Slope and intercept (algebra - lines in a plane)
- Complementary and supplementary (angles)
- Vertical, alternate interior/exterior, corresponding (angles)
It's not all about the calculations, especially in geometry. The first thing the student must do is get used to the commonly-used terms, and how they relate to one another. As you gain this knowledge, you'll be surprised at how much it helps with problem-solving.