alleryThe Greeks could construct regular polygons with which numbers of sides?
A7, 9, 11 or 13
B3, 7, 9 or 11
C3, 4, 5 or 15
D5, 7, 11 or 13
Answer & Solution
Correct answer: C. 3, 4, 5 or 15
1. The Greeks built regular polygons of 3, 4, 5 or 15 sides.
2. They could also double the sides of a given polygon.
3. Polygons of 7, 9, 11 or 13 sides are not constructible.
_Source: Wikipedia, Straightedge and compass construction, section History_
Keep practising Straightedge and Compass Construction
Browse all Straightedge and Compass Construction questions for CTET, or explore more Mathematics topics.
Related questions
Wantzel proved Gauss's condition is necessary for what?A triangle's twelve key lengths include its sides, altitudes, medians and what else?Which operation is a common construction that copies a point across a line?Which of these is a ruler-and-compass construction involving a circle?A median splits the opposite side of a triangle into two parts that are what?The angle bisector theorem compares a side's parts with what?The exterior bisector of an angle divides which angle in half?Which lines form the boundaries of Voronoi cells?