Geometry & Trig Summary

SAT Math · Axiom Academy

Geometry & Trigonometry: Unit Recap Review the key concepts you've learned and prepare for the full-length practice tests. You've covered 8 major topics in geometry and trigonometry, representing ~10% of the SAT Math section. Here's what you've mastered: Area & Perimeter: Rectangles, triangles, circles, and composite shapes Volume & Surface Area: Cylinders, cones, spheres, and rectangular prisms Lines, Angles & Triangles: Parallel lines, angle relationships, triangle properties Similar & Congruent Triangles: Similarity theorems and proportional reasoning Right Triangles: Pythagorean theorem and special right triangle ratios Trigonometry: SOH CAH TOA and real-world applications Unit Circle: Radian measure, key angles, and trig values Coordinate Geometry: Distance formula, midpoint formula, and circle equations Area formulas for rectangles, triangles, parallelograms, trapezoids, and circles Volume and surface area formulas for cylinders, cones, spheres, and prisms The Pythagorean theorem: a^2 + b^2 = c^2 Special right triangle ratios: 45-45-90 ( x : x : x ) and 30-60-90 ( x : x : 2x ) Common Pythagorean triples: 3-4-5, 5-12-13, 8-15-17, 7-24-25 Trig values for 0°, 30°, 45°, 60°, and 90° Radian conversion: 360° = 2 rad, 180° = rad Circle equation: (x-h)^2 + (y-k)^2 = r^2 Before you start calculating, identify what shape you're dealing with. Is it a rectangle, triangle, circle, cylinder, or composite? The shape tells you which formula to use.

This is the written version of the interactive lesson above. See the full SAT Math course.