Circle and Tangent Constructions (Leaving Cert Mathematics): Flashcards

Where perpendicular bisectors of sides meet

All three vertices of the triangle

Construct perpendicular bisectors of triangle sides

Greater than half the side's length

Where angle bisectors meet

All three sides of the triangle

Construct angle bisectors of triangle

Perp. distance from incentre to any side

Tangent is perpendicular to radius at that point

Draw radius from centre $O$ to point $P$

Circumcentre

Incentre