# Leaving Cert. Maths Construction Video Tutorials

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### 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.