Advanced Geometry

There are a significant number of plane geometry questions on the test. Plane geometry is crucial background for a number of other topics, such as coordinate geometry. Thus, it is recommended that you review the following plane geometry sections.

Plane geometry is the science of measurement. Certain assumptions are made about undefined quantities called points, lines, and planes, and then logical deductions about relationships between figures composed of lines, angles, and portions of planes are made based on these assumptions. The process of making the logical deductions is called a proof. In this summary, we are not making any proofs but are giving the definitions frequently used in geometry and stating relationships that are the results of proofs.

How to Solve

Most geometry problems on the Test require straightforward calculations based on geometry concepts. However, some problems measure your insight into the basic rules of geometry. For this type of problem, you should practice a lot of questions to develop an insight of what the questions are?

Scale of Drawings

Only a few questions on NAT and GAT but about one-fourth of the math problems on the SAT involve geometry. Fortunately, the figures on the SAT are usually drawn to scale. Hence, you can check your work and in some cases even solve a problem by “eyeballing” the drawing. On the other hand the drawings on GMAT, GRE, GAT, and NAT are drwan not to scale so you can not figure out the result just by viewing the question.