For Question 1, you are not required to provide a justification for your answers.
1(a) Indicate in your answer booklet whether the following statements are true or false. (Negative marking applies: 2 for a correct answer, -2 for an incorrect or unclear answer, 0 if no answer is given.)
(i) The list of undefined terms of School Geometry includes: point, line, plane, degree and sets.
(ii) If a diagonal of a convex quadrilateral divides it into two congruent triangles, then the quadrilateral must be a parallelogram.
(iii) The angle standing on a semi-circle is a right angle.
(iv) The centroid, orthocentre and incentre of any triangle are collinear.
(v) The negation of Axiom 5 of Euclidean Geometry is: For every line ℓ and point P not on ℓ, there is more than one line through P parallel to ℓ.
1(b) Indicate in your answer booklet whether the following statements are always, sometimes or never true. (Negative marking applies: +2 for a correct answer, -1 for an incorrect or unclear answer, 0 if no answer is given.)
(i) Triangles ┳ABC and ┳A'B'C' with |AB| = |A'B'|, ∠A = ∠A' and ∠C = ∠C' are congruent.
(ii) A quadrilateral with a reflex angle is convex.
(iii) Given lines ℓ, m and n with ℓ ≅ m and ℓ || n, then m ≅ n.
(iv) Given a quadrilateral ABCD, there is a circle c that passes through its four vertices.
(v) In the Poincarè disk model of Hyperbolic Geometry, the arc of a given circle which intersects the reference circle represents a line.