Lines Angles and Triangles
Angle relationships, triangle properties, and similar/congruent triangles
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Parallel lines, angle relationships, and triangle properties. The SAT tests these with five specific question types.
Why this matters
These five patterns cover the specific setups the test uses: parallel-line angle rules, triangle angle sums, similarity and congruence, algebra baked into geometry, and conceptual reasoning.
The five patterns
Angle & Line Relationships
Corresponding angles, alternate interior angles, vertical angles — all the rules that kick in when a transversal crosses parallel lines.
›Triangle Properties
Angles in a triangle sum to 180°. Isosceles triangles have equal base angles. Equilateral triangles have all 60°. Apply the right rule and solve.
›Similar & Congruent Triangles
Set up proportions from similar triangles or use congruence to find missing sides. The key: match corresponding sides correctly.
›Geometric Problem Solving with Algebra
Sides or angles are given as algebraic expressions. Write an equation using a geometric property (like angle sum = 180°) and solve for the variable.
›Conceptual Geometric Reasoning
No calculation needed. These questions ask what additional information you need, or how to model a real-world scenario geometrically.