All SAT GuidesPractice Geometric Properties & Trigonometry questions
Study Guide
Geometric Properties & Trigonometry
This covers area, perimeter, volume, angle relationships, triangle properties, circles, and basic trigonometry (sine, cosine, tangent).
Key Rules
- Pythagorean theorem: a² + b² = c² for right triangles.
- Area formulas: triangle = ½bh; circle = πr²; rectangle = lw.
- SOH-CAH-TOA: sin = opposite/hypotenuse; cos = adjacent/hypotenuse; tan = opposite/adjacent.
- Complementary angles sum to 90°; supplementary angles sum to 180°.
- Exterior angle of a triangle = sum of the two non-adjacent interior angles.
Common Mistakes to Avoid
- Using diameter instead of radius in circle formulas.
- Mixing up which angle is "opposite" or "adjacent" in trig ratios.
- Forgetting that similar triangles have proportional sides, not equal sides.
- Confusing arc length with area of a sector.
SAT Strategy Tips
- →Draw a picture for every geometry problem, even if one is given.
- →Label everything: mark right angles, equal lengths, and known angles.
- →The SAT reference sheet gives you key formulas — use it!
- →For trig: always identify the reference angle first, then label O, A, H from that angle's perspective.
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