Angle Bisector

http://www.youtube.com/embed/OtP9IsPuI3M

Perpendicular Bisector of Line Segment

http://www.youtube.com/embed/ENdzJBhnrh0

Perpendicular through point not on line

http://www.youtube.com/embed/qD0g7FuH0y4

Perpendicular through point on line

http://www.youtube.com/embed/XdmfeECYy2g

Line parallel to given line through a point

http://www.youtube.com/embed/3H6GKHIMhEk

Division of segment into 2 or 3 equal parts

http://www.youtube.com/embed/YXzz-4h80H4

Division into any number of parts

http://www.youtube.com/embed/UR6OrG8tB9g

Segment of given length, on given ray

http://www.youtube.com/embed/JDJk5ous9xI

Angle

http://www.youtube.com/embed/sCY77XVk__w

Triangle SSS

http://www.youtube.com/embed/4hcdz9DhIf0

Triangle SAS

http://www.youtube.com/embed/aELDIb-MlC8

Triangle ASA

http://www.youtube.com/embed/TLgZwQ84_v4

Triangle RHS

http://www.youtube.com/embed/wdhRe4wx0Ds

 

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.