• the solution of triangles in two-dimensional situations;
• the sum of the interior angles of a triangle is 180°;
• the sum of the exterior angles of a convex polygon is 360°;
• corresponding angles of lines cut by a transversal are equal if, and only if, the lines are parallel;
• alternate angles of lines cut by a transversal are equal if, and only if, the lines are parallel;
• opposite angles of a parallelogram are equal;
• opposite sides of a parallelogram are equal in length;
• the base angles of an isosceles triangle are equal;
• the line joining the vertex to the midpoint of the base of an isosceles triangle is perpendicular to
the base;
• the perpendicular bisector of the base of an isosceles triangle passes through the opposite vertex;
• the angle subtended by an arc at the centre of a circle is twice the angle subtended by the same arc
at the circumference;
• the angle in a semicircle is a right angle;
• angles in the same segment of a circle are equal;
• the sum of the opposite angles of a cyclic quadrilateral is 180°;
• an exterior angle of a cyclic quadrilateral and the interior opposite angle are equal;
• the two tangents to a circle from an exterior point are equal in length;
• a tangent to a circle is perpendicular to the radius to the point of contact;
• the angle between a tangent to a circle and a chord through the point of contact is equal to the angle
in the alternate segment