Mathematics and Mathematical Literacy - Thutong

Mathematics(NSC)/Grade 10/ P2 7 ExemplarQUESTION 2ΔABC has co-ordinates A(-4; 2), B(1; 2) and C(-1; 6), and AC = 5 units2.1 Determine the lengths of AB and BC (3)2.2 What kind of triangle is ΔABC. Give a reason for your answer. (2)2.3 Explain why ΔABC cannot be right angled. (5)2.4If D is the point (x; y) such that E(2 1 4; 7) is the midpoint of CD. Determine theco-ordinates of D. (3)2.5 Show that the quadrilateral ABCD is a trapezium. (5)[18]QUESTION 3In the diagram below there are 4 triangles (labeled Δ’s 1 – 4) that are shaded in grey and 1triangle (ΔABC) shaded in white.y41BA32xC3.1 Copy and complete the following statements by filling in a 1, 2, 3, or a 4:3.1.1 Δ __ is the reflection of Δ __ in the y-axis (and vice versa). (2)3.1.2 Δ __ is the reflection of Δ __ in the x-axis (and vice versa). (2)3.1.3 Δ __ is the reflection of Δ __ in the line y = x (and vice versa). (2)3.2 The white triangle, ΔABC, has co-ordinates A(-3;0); B(-5;-1) and C(-4; -4).3.2.1 Describe the transformation that has occurred from Δ3 to ΔABC. (2)3.2.2 If ΔABC is reflected along the line y = x , draw ΔA′B′C′ on the gridprovided and write down the co-ordinates of each point. (6)[14]Copyright reserved