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Master SAT Geometry and Trigonometry
Solve SAT area, volume, triangle, trigonometry, circle, and coordinate-geometry questions with efficient visual reasoning.
- 18 interactive lessons
- Step-by-step worked examples
- SAT-style practice questions
Beginner
- Lesson 10%Find perimeter and area of plane figures
Choose and use perimeter, circumference, and area formulas for familiar SAT plane figures, including missing-dimension questions.
31 min · 3 practice problems
- Lesson 50%Use line and angle relationships
Recognize vertical angles, linear pairs, and parallel-line angle families, then turn a diagram into an equation for an unknown angle.
28 min · 3 practice problems
- Lesson 90%Apply the Pythagorean theorem
Recognize the hypotenuse, find missing sides, uncover right triangles in diagonals and coordinates, and report exact or rounded distances in the form the SAT asks for.
32 min · 3 practice problems
- Lesson 160%Read and write circle equations
Read a circle’s center and radius from standard form, write its equation, classify points, and connect equation changes to graph changes.
27 min · 4 practice problems
Intermediate
- Lesson 20%Break down composite and shaded figures
Decompose SAT composite and shaded figures into familiar regions, then add or subtract areas and related lengths with correct units and exactness.
27 min · 3 practice problems
- Lesson 30%Find surface area and volume
Choose and use SAT formulas for familiar solids, construct pyramid face slant heights, recover missing dimensions, and combine solid parts.
34 min · 4 practice problems
- Lesson 40%Use scale factors in two and three dimensions
Use a linear scale factor to predict changes in perimeter, area, surface area, and volume, and recover the linear factor from an area or volume ratio.
27 min · 3 practice problems
- Lesson 60%Use triangle angle theorems
Use triangle sums, exterior angles, equal-side facts, and polygon decomposition to write an equation for the angle a question asks for.
28 min · 3 practice problems
- Lesson 70%Solve similar-triangle proportions
Match corresponding vertices in similar triangles, establish AA from a figure, and use one scale factor to find a missing length or unchanged angle.
30 min · 3 practice problems
- Lesson 80%Reason with congruence and sufficient information
Decide whether side and angle conditions establish triangle congruence or similarity, then use the resulting correspondence.
30 min · 3 practice problems
- Lesson 100%Recognize special right triangles
Recognize 45-45-90 and 30-60-90 structures, name the short leg, long leg, and hypotenuse, and scale exact side ratios on the SAT.
26 min · 3 practice problems
- Lesson 110%Use sine, cosine, and tangent
Choose sine, cosine, or tangent from side roles, solve right triangles, use complementary-angle relationships, and interpret signed coordinate ratios.
30 min · 3 practice problems
- Lesson 140%Use central, inscribed, and tangent angles
Identify the circle relationship that governs a diagram, then use angles, arcs, tangents, or a bisected chord to find an unknown measure.
30 min · 3 practice problems
- Lesson 150%Find arc length, sector area, and radian measure
Use a central angle as a fraction of a circle to find arc length, sector area, convert angle units, and position radian angles.
28 min · 3 practice problems
- Lesson 170%Complete the square for a circle
Choose between graphing an expanded circle equation and completing the square to find its center, radius, diameter, graph, or exact standard form.
28 min · 3 practice problems
- Lesson 180%Build circles from coordinate information
Turn diameter endpoints, distance, tangency, and coordinate constraints into circle centers, radii, exact relationships, and standard-form equations.
33 min · 3 practice problems
Advanced
- Lesson 120%Solve right-triangle inradius problems
Use equal tangent segments to understand the right-triangle inradius formula, then combine it with a given side relationship to find a side, radius, or perimeter.
24 min · 3 practice problems
- Lesson 130%Use similarity inside right triangles
Recognize the three similar triangles created by an altitude to a right triangle’s hypotenuse, then use geometric-mean proportions to find lengths and work through harder questions.
28 min · 3 practice problems