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SAT Math / Geometry and Trigonometry

SAT topic

Geometry and trig

Area, angles, right triangles, and circles.

Learning goals

  • Label a sketch before choosing a formula.
  • Use Pythagorean relationships or right-triangle trigonometry on a right triangle.

Explanation

Sketch the figure, label given measures, and write the relationship you need—Pythagorean theorem, special right triangles, or a circle formula—before substituting numbers.

Common mistakes

  • Using a right-triangle ratio on an angle that is not in a right triangle.
  • Mixing diameter and radius in a circle formula.

Practice

1 of 1Geometry and trigonometry · hard · free response

A rectangular garden is 3 times as long as it is wide. The perimeter is 64 meters. Find the width, the length, and the area. Show the equations you use.

Original Marlow Works item — not a College Board question.

Take your time—this is practice, not a test.

Quick review

  1. 01Mark right angles and equal sides on the sketch.
  2. 02Write the formula with symbols, then substitute.
  3. 03Check whether the question wants a length, area, or angle.
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Related resources

External links with reuse status. Marlow Works is independent and does not copy restricted exam or textbook material.

  • Official / link only

    Official SAT practice hub

    College Board SAT practice landing page, including links to tests and tools.

    College Board · All rights reserved · accessed 2026-10-01

    Open source

  • Official / link only

    Bluebook full-length practice

    Official digital SAT practice tests in the Bluebook app.

    College Board · All rights reserved · accessed 2026-10-01

    Open source

  • Official / link only

    Student Question Bank

    Official SAT practice questions hosted by College Board.

    College Board · All rights reserved · accessed 2026-10-01

    Use as an external link. Do not republish question stems.

    Open source

  • Official / link only

    Official SAT Prep on Khan Academy

    College Board describes this as free Official SAT Prep with lessons, hints, and walkthroughs.

    Khan Academy / College Board · All rights reserved · accessed 2026-10-01

    Open source

  • Reference only — do not copy

    OpenStax College Algebra 2e

    Algebra reference; current terms include noncommercial and AI-ingestion limits.

    OpenStax · Restricted — see publisher page · accessed 2026-10-01

    Open source