Angle Bisector
Perpendicular Bisector of Line Segment
Perpendicular through point not on line
Perpendicular through point on line
Line parallel to given line through a point
Division of segment into 2 or 3 equal parts
Division into any number of parts
Segment of given length, on given ray
Angle
Triangle SSS
Triangle SAS
Triangle ASA
Triangle RHS
List of constructions to know
- Bisector of an angle, using only compass and straight edge.
- Perpendicular bisector of a segment, using only compass and straight edge.
- Line perpendicular to a given line l, passing through a given point not on l.
- Line perpendicular to a given line l, passing through a given point on l.
- Line parallel to given line, through a given point.
- Division of a line segment into 2 or 3 equal segments without measuring it.
- Division of a line segment into any number of equal segments, without measuring it.
- Line segment of a given length on a given ray.
- Angle of a given number of degrees with a given ray as one arm.
- Triangle, given lengths of 3 sides.
- Triangle, given SAS data.
- Triangle, given ASA data
- Right-angled triangle, given length of hypotenuse and one other side
- Right-angled triangle, given one side and one of the acute angles.
- Rectangle given side lengths.
- Circumcentre and circumcircle of a given triangle, using only straight edge and compass.
- Incentre and incircle of a triangle of a given triangle, using only straight edge and compass.
- Angle of 60 without using a protractor or set square.
- Tangent to a given circle at a given point on it.
- Parallelogram, given the length of the sides and the measure of the angles.
- Centroid of a triangle.