Some are possible, others are not.
True
Geometric figures can be drawn using a compass and a straight edge. This is commonly known as ruler and compass construction.
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True
No, it is not possible to double a square using only a compass and straightedge. This problem, known as the "doubling the square" or "quadrature of the square," is equivalent to constructing a square with an area twice that of a given square. However, this requires the construction of a square root of 2, which is not constructible with these tools, as it involves a geometric construction that cannot be achieved with finite steps.
A construction. A construction is a geometric drawing of a figure usually made by a compass and/or a straightedge
True
Geometric figures can be drawn using a compass and a straight edge. This is commonly known as ruler and compass construction.
Perpendicular lines that meet at right angles is one example
Constructions that are impossible using only a compass and straightedge include Trisecting an angle Squaring a circle Doubling a cube
true
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True
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.
No, it is not possible to construct a cube of twice teh volume of a given cube using only a straightedge and a compass.
No, it is not possible to construct a cube of twice teh volume of a given cube using only a straightedge and a compass.
True APEX :)