alleryA regular pentagon cannot tile a floor on its own. Why?
AIts sides are not all equal
B360 is not a whole multiple of 108
CIts angles add up to 360
DIts angles are all right angles
Answer & Solution
Correct answer: B. 360 is not a whole multiple of 108
1. Each angle of a regular pentagon is 108 degrees.
2. Tiles meeting at a point must have angles adding to exactly 360 degrees.
3. 360 divided by 108 is 3 and one third, not a whole number.
4. So whole pentagons cannot fit around a point without gaps.
_Source: Wikipedia, Pentagon (CC BY-SA 4.0), Regular pentagons_
Keep practising Shapes and Spatial Understanding
Browse all Shapes and Spatial Understanding questions for CTET, or explore more Mathematics topics.
Related questions
Fold a regular pentagon so the halves match. How many different folds work?In a 3 x 3 grid with Row 1 at the bottom, where is the item in row 3, column 2?On a grid, Mini takes 4 steps right, then 2 steps left, then 1 step up. Where is she compaA map scale says 1 cm stands for 5 km. Two towns are 4 cm apart on the map. How far apart Facing the setting Sun, which direction is your right hand pointing?Turn an equilateral triangle about its center; it first looks unchanged after how many degA regular hexagon looks unchanged after a turn of at least how many degrees?Looking straight down at a cube on a desk, you see which shape?