Did you know that doubling the radius of a cylinder increases its volume by a factor of 8? Area and volume questions on the SAT test your ability to apply key formulas to 2D and 3D shapes quickly and accurately. You'll calculate areas of circles, triangles, and rectangles, then move to volumes of prisms, cylinders, spheres, and cones. Problems often involve scale factors, where changing linear dimensions affects area by the square and volume by the cube. Master these relationships, and you'll handle even complex multi-step questions with confidence.

Expect questions on circle equations, arc lengths, sector areas, central and inscribed angles, and tangent properties (especially tangent segments and tangent-secant theorems). Many problems combine circles with coordinate geometry or triangles, so quick recognition of key relationships, like the radius being perpendicular to a tangent, directly boosts your accuracy and speed.

Did you know that the word "isosceles" comes from the Greek words for "equal" and "legs"? Whether you are dealing with equal legs or a hypotenuse, triangles and lines form the backbone of SAT geometry. This topic focuses on the essential properties that govern shapes and the lines that intersect them. You'll work with parallel lines cut by transversals, angle relationships (corresponding, alternate interior, same-side), and triangle properties including angle sum (180°), exterior angles, and congruence criteria (SSS, SAS, ASA, AAS). Problems often involve diagrams with multiple lines intersecting triangles, requiring you to identify equal angles or prove similarity. Quick recognition of these patterns saves valuable time.

A 3-4-5 right triangle appears so often on the SAT that recognizing it instantly can save you precious seconds, and sometimes even avoid calculator use altogether. Questions focus on applying the Pythagorean theorem, identifying special right triangles (45-45-90 and 30-60-90), and using basic trig ratios (sine, cosine, tangent) to find missing sides or angles. Many problems combine these ideas in real-world contexts or coordinate planes, so strong recall of the core ratios leads to higher scores.