Lines, Angles, and Triangles: SAT Practice Questions

102 official Lines, Angles, and Triangles questions (Geometry and Trigonometry) from the SAT Suite Question Bank. Pick any question from the list, or start with Question 1. Every question shows the answer and a full explanation, with step-by-step Desmos solutions available for most questions. It is free, and no account is needed.

Start with Question 1

What does Lines, Angles, and Triangles test on the SAT?

These questions use angle relationships, triangle properties, similarity, congruence, and coordinate geometry. A few marked equalities often unlock several additional relationships.

Common question types

Find an unknown angle or side
Use similar or congruent triangles
Apply parallel-line and transversal relationships

Common traps

Assuming a diagram is drawn to scale
Matching the wrong corresponding sides in similar triangles
Using supplementary angles as if they were equal

Difficulty distribution

Start with the easier questions, then work toward the highest score bands.

Easy: 40
Medium: 30
Hard: 32
Extreme: 0

Start here

FoundationQuestion 5Easy SAT question IntermediateQuestion 51Medium SAT question ChallengeQuestion 101Hard SAT question

How do I improve at Lines, Angles, and Triangles?

1Transfer all stated equalities and parallel markings onto the diagram.
2Write the angle or side relationship before substituting numbers.
3For similarity, preserve vertex order when building proportions.

Desmos method

Use equations to solve linked angle or side constraints, and graph coordinate lines when slope or intersection is involved. The calculator supports the algebra but should not replace diagram relationships.

All 102 official questions

In the same order as the list on the left. Each one opens in practice mode.