Geometry
Any simple quadrilateral in Euclidean geometry has interior angles totaling 360 degrees. This topic is part of Mathematics within Science & Nature. This page currently draws on 29 supporting questions, with answers and bonus facts available below.
Geometry trivia questions
A triangle has how many sides?
Answer: 3
Bonus fact: Triangles are polygons with three sides and three angles.
What is the sum of the interior angles of a quadrilateral?
Answer: 360 degrees
Bonus fact: Any simple quadrilateral in Euclidean geometry has interior angles totaling 360 degrees.
What theorem states that in a right triangle, a² + b² = c²?
Answer: Pythagorean theorem
Bonus fact: The Pythagorean theorem relates the lengths of the sides of a right triangle.
What is the molecular geometry of ammonia, NH3?
Answer: Trigonal pyramidal
Bonus fact: A lone pair on nitrogen gives ammonia its trigonal pyramidal molecular shape.
In ordinary Euclidean geometry, the interior angles of a triangle add up to how many degrees?
Answer: 180
Bonus fact: The three interior angles of a Euclidean triangle total 180 degrees.
What symbol is often used to mean parallel in geometry?
Answer: ∥
Bonus fact: The double vertical-line symbol denotes parallel lines.
In Euclidean geometry, alternate interior angles formed by a transversal across parallel lines are what?
Answer: Equal
Bonus fact: Alternate interior angles are congruent when lines are parallel.
In geometry, an arc is part of what?
Answer: A curve or circle
Bonus fact: A circular arc is a portion of a circle's circumference.
What keeps a moving motorcycle stable partly through wheel rotation and steering geometry?
Answer: Dynamic balance
Bonus fact: Gyroscopic effects and steering geometry contribute to stability.
Art Deco is a style associated with bold geometry and what?
Answer: Decorative luxury
Bonus fact: Art Deco emphasized sleek forms, ornament, and modernity.
Geometry traditionally begins with definitions and what kinds of foundational statements?
Answer: Axioms or postulates
Bonus fact: Proofs build from accepted foundational statements.
What famous mathematician organized geometry around axioms and postulates in Elements?
Answer: Euclid
Bonus fact: Euclid's Elements shaped mathematical proof for centuries.