Master Geometry and Trigonometry with 150+ adaptive practice questions. This domain makes up 15% of the SAT Math section (5-7 questions on test day).
150+
Questions
15%
of Math
5-7
Qs on test day
3
Difficulty levels
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The Digital SAT provides a reference sheet with area, volume, and special right triangle formulas. Memorize these formulas so thoroughly that you never need to open the reference during the test. Every time you stop to look up a formula, you lose 10–15 seconds of focus. The formulas you need most are: area of a circle (πr²), Pythagorean theorem, and special right triangle ratios (30-60-90 and 45-45-90).
When a Geometry question describes a figure without providing one, sketch it yourself. Label every measurement given in the problem. Many students try to solve geometry questions abstractly and miss relationships that become obvious in a diagram. Even when a figure is provided, adding the given measurements to it helps you see the path to the solution.
A surprising number of geometry and trigonometry questions can be solved by identifying or creating a right triangle within the figure. Drop altitudes, draw diagonals, and look for special right triangles. Once you have a right triangle, you can apply the Pythagorean theorem, SOH-CAH-TOA, or special ratios to find missing lengths and angles.
Trigonometry questions may use either degrees or radians, and the SAT expects you to move between them without hesitation. Remember that π radians = 180°. Practice converting common angles (30° = π/6, 45° = π/4, 60° = π/3, 90° = π/2) until the conversions are instant. This fluency saves time on every trig question.
Using diameter instead of radius (or vice versa)
Circle problems are the number-one source of careless errors. Always confirm whether the problem gives you the radius or the diameter, and convert if necessary before applying formulas.
Assuming figures are drawn to scale
The Digital SAT states that figures are not necessarily drawn to scale. Never estimate angle measures or lengths from the diagram—use the given information and geometric relationships instead.
Forgetting to convert units
Some problems mix units (inches and feet, seconds and minutes). Before calculating, convert all measurements to the same unit. Missing a unit conversion is an easy way to lose points on otherwise simple problems.
Applying trig ratios to non-right triangles
SOH-CAH-TOA only applies to right triangles. If the triangle is not a right triangle, you need the Law of Sines or Law of Cosines. Always check for the right angle before setting up a trig ratio.