Construction

Puzzles

• 12.points.5.linesDraw 5 straight line segments through the 12 points below without lifting your pencil, so that each point... New
• 4.triangles.6.linesCan you construct 4 equilateral triangles with 6 toothpicks?
• 5.lines.with.4.pointsArrange 10 points so that they form 5 rows of 4 each. Added material
• arbelosConstruct a figure equal in area to the region inside a semicircle and outside two smaller semicircles... New
• artilleryYou are a field officer in the Greek artillery corps. New
• bisect.with.compassHow do we find the mid-point of a line segment using only a compass? New
• circle.through.pointGiven a straight line, a point and a circle (on the same side of the line as the point), construct a circle... New
• h.seven.trianglesDraw three straight lines through a standard capital "H" so that the resulting figure contains seven... New
• interior.pointGiven three points whose coordinates are known, and a point O inside the triangle they form, how do you... New
• quadrilateral.to.triangleGiven an arbitrary convex quadrilateral, construct a triangle of equal area using only straight edge and... New
• square.with.compassConstruct a square with only a compass and a straight edge.
• tangent.circleGiven a circle C, a line L that doesn't intersect C, and a point P that is not on L and not inside C,... New
• three.degreesConstruct an angle of 3 degrees with straightedge and compass. New