Geometry Quiz
15 questions · free · new questions every attempt · Updated September 26, 2026
Geometry is about shapes, space and reasoning. This quiz tests the calculation side of a first course: angle relationships, the sum of angles in triangles and polygons, the Pythagorean theorem and distance formula, and areas and volumes involving π. Each answer is followed by a short worked explanation.
What this quiz covers
- Complementary and supplementary angles
- Angle sum of a triangle
- Interior angle sum of a polygon
- Pythagorean theorem and the distance formula
- Area of a circle and a triangle
- Volume of a cylinder
How to prepare
Sketch every problem and label what you know. Keep a short formula list: triangle sum 180°, polygon sum (n − 2) × 180°, circle area πr², cylinder volume πr²h. Leave answers in terms of π unless asked for a decimal.
Sample questions with answers
These five questions show the style. Your quiz above will have different numbers each time.
- An angle measures 40°. What is its complement?
Show answer
50°. Complementary angles add to 90°.
- Two angles of a triangle are 66° and 57°. What is the third angle?
Show answer
57°. The angles of a triangle sum to 180°: 180 − 66 − 57 = 57°.
- What is the sum of the interior angles of a polygon with 5 sides?
Show answer
540°. Sum = (n − 2) × 180° = 3 × 180° = 540°.
- A right triangle has legs 5 and 12. What is the length of the hypotenuse?
Show answer
13. c² = 5² + 12² = 169, so c = 13.
- What is the distance between (1, -3) and (4, 1)?
Show answer
5. d = √(3² + 4²) = √25 = 5.
Frequently asked questions
What is on a geometry test?
Angles, triangles and congruence, similarity, circles, area and volume, coordinate geometry and proofs.
Does this quiz include proofs?
No. It focuses on computation. Proof practice is best done with a teacher or textbook.
Where can I find a calculator for shapes?
Use the geometry calculator for areas, perimeters and volumes.
Keep practising
Reviewed September 26, 2026 by the SolveCalcPro editorial team. Questions are generated from tested formulas. Spot a mistake? Tell us.