Lines Angles and Triangles
Angle relationships, triangle properties, and similar/congruent triangles
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.