Geometry quiz

More questions about Geometry

These visible examples show the question style. LearnClash turns the full topic into ranked duels and spaced repetition.

1. 1 Easy

   Which name is given to the longest side of a right-angled triangle?

   Answer: Hypotenuse

   Why: The hypotenuse is always directly opposite the $90^\circ$ angle and its length squared equals the sum of the squared lengths of the other sides.

2. 2 Medium

   How many sides does a Möbius strip have in total?

   Answer: one

   Why: The universal recycling symbol is a Möbius strip, drawn in 1970 by Gary Anderson, then a 23-year-old student, for a design contest.

3. 3 Hard

   Which curve takes equal slide time from any starting point?

   Answer: Cycloid

   Why: Huygens solved the equal-time problem with the cycloid in 1659; the same curve is also the brachistochrone, the fastest descent.

4. 4 Easy

   What is the sum of the interior angles in any flat triangle?

   Answer: $180^\circ$

   Why: This constant sum holds true on flat surfaces, but on a curved sphere like Earth, a triangle's angles can add up to more than $180^\circ$.

5. 5 Medium

   Which shape has a constant width but is not a circle?

   Answer: Reuleaux triangle

   Why: Spun inside a square it touches all four sides at once, which is why drill bits based on this shape cut nearly square holes.

6. 6 Hard

   How many faces does a regular icosahedron have?

   Answer: twenty

   Why: The rhinovirus, the most common cause of colds, packs its RNA inside an icosahedral shell of 60 copies each of four proteins.