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Geometry & Trigonometry - Detailed Syllabus

Conquering Geometric Shapes and Triangles: A Strategic Guide

Mastering the Geometry & Trigonometry Section of the Digital SAT

The Geometry & Trigonometry section of the Digital SAT Math test requires a solid understanding of geometric principles and the ability to apply them to solve complex problems. To succeed in this section, you must develop a strong foundation in key concepts and practice regularly.

Unpacking the Geometry & Trigonometry Syllabus

While the Digital SAT doesn't explicitly outline a dedicated syllabus for Geometry & Trigonometry, the test does delve into several key areas:

1. Triangles

  • Types and Properties: Understand different types of triangles (scalene, isosceles, equilateral, right-angled) and their properties.
  • Congruence and Similarity: Apply criteria for triangle congruence (SSS, SAS, ASA, AAS) and similarity (AA, SSS~, SAS~).
  • Special Right Triangles: Be familiar with the side ratios of 30-60-90 and 45-45-90 triangles.

2. Trigonometry

  • Trigonometric Ratios: Understand sine, cosine, and tangent (SOH CAH TOA) and apply them to right-angled triangles.
  • Unit Circle: Understand the unit circle and its relationship to trigonometric values.
  • Trigonometric Identities: Familiarize yourself with basic trigonometric identities.

3. Circles

  • Properties: Know the definitions of radius, diameter, circumference, and area. Understand concepts like central angles, inscribed angles, chords, tangents, and sectors.
  • Theorems: Be familiar with circle theorems, such as the inscribed angle theorem and the relationship between tangent and radius.

4. Area and Volume

  • Formulas: Calculate the area of triangles, quadrilaterals, and circles. Calculate the volume of common 3D shapes.

Illustrative Sample Questions

1. Triangles (Similarity)

  • Given two similar triangles, find the length of a missing side using proportions.

2. Trigonometry (SOH CAH TOA)

  • Calculate the height of a ladder leaning against a wall, given the angle and length of the ladder.

3. Circles (Area of a Sector)

  • Find the area of a sector of a circle, given the central angle and radius.

By mastering these concepts and practicing regularly, you can confidently tackle the Geometry & Trigonometry section of the Digital SAT and achieve your desired score.

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