← Maths syllabus

United StatesMaths

Geometry and Trigonometry

5 dot points across 5 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you compute area and volume for the standard shapes and solids, including composite figures and scaling?

Area and volume: compute area of rectangles, triangles and circles, volume of prisms, cylinders, spheres, cones and pyramids, handle composite figures, and use the reference sheet.
A focused answer to the Digital SAT Geometry and Trigonometry skill of area and volume: areas of common figures, volumes of prisms, cylinders, spheres, cones and pyramids, composite shapes, and using the provided reference sheet formulas.
10 min answer →

How do you work with circle measurements: circumference, area, arc length, sector area, and radian measure?

Circles: use circumference and area, compute arc length and sector area as fractions of the whole, convert between degrees and radians, and apply central angle relationships.
A focused answer to the Digital SAT Geometry and Trigonometry skill of circles: circumference and area, arc length and sector area as fractions of the whole circle, radian measure, and central angle relationships.
10 min answer →

How do you use the distance and midpoint formulas, and read or build the equation of a circle in the coordinate plane?

Coordinate geometry and circle equations: use the distance and midpoint formulas and write or interpret the standard-form equation of a circle, completing the square when needed to find the center and radius.
A focused answer to the Digital SAT Geometry and Trigonometry skill of coordinate geometry: the distance and midpoint formulas, and the standard-form equation of a circle, including completing the square to find the center and radius.
11 min answer →

How do you use angle relationships, parallel lines, and triangle properties including similarity to find unknown measures?

Lines, angles, and triangles: use vertical, complementary and supplementary angles, parallel lines cut by a transversal, the triangle angle sum, and similar and congruent triangles to find unknowns.
A focused answer to the Digital SAT Geometry and Trigonometry skill of lines, angles and triangles: vertical, complementary and supplementary angles, parallel lines and transversals, the triangle angle sum, and similar and congruent triangles.
11 min answer →

How do you use the Pythagorean theorem, special right triangles, and the trigonometric ratios to find sides and angles?

Right triangles and trigonometry: apply the Pythagorean theorem, the special right triangles, the sine, cosine and tangent ratios (SOH-CAH-TOA), and the sine and cosine of complementary angles.
A focused answer to the Digital SAT Geometry and Trigonometry skill of right triangles and trigonometry: the Pythagorean theorem, the special right triangles, SOH-CAH-TOA, and the complementary-angle relationship between sine and cosine.
11 min answer →