false
False
Constructions that are impossible using only a compass and straightedge include Trisecting an angle Squaring a circle Doubling a cube
doubling a cube and trisecting any angle
A. Trisecting any angle B. Doubling a cube
A construction. A contruction is a geometric drawing of a figure usually made by a compass and a straightedge.
False
False
doubling the cube
Constructions that are impossible using only a compass and straightedge include Trisecting an angle Squaring a circle Doubling a cube
doubling a cube and trisecting any angle
Doubling a cube and trisecting any angle
A. Trisecting any angle B. Doubling a cube
Squaring the circle, duplicating the cube, and trisecting an angle were constructions that were never accomplished by the Greeks with only a straightedge and compass. These are known as the three classical geometric problems that cannot be solved using only those tools.
false
A construction. A contruction is a geometric drawing of a figure usually made by a compass and a straightedge.
A straightedge and compass.
You don't need advanced algebra to prove that it is impossible to trisect a line segment using only a straight edge and a compass: anyone knows that you will also need a pencil! And one you have that then there are plenty of easy ways to do it.