Mathematics 0580: SIMILARITY Topical Past Paper Questions

AB and CD are parallel lines. AD and BC are straight lines that intersect at X. Angle $ABX = y^{\circ}$. **(a)** Complete the statement with a geometrical reason. Angle $DCX = y^{\circ}$ because $\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots…

(a) The diagram shows two mathematically similar triangles. Find the value of x. x = ..... [2] (b) The surface areas of two mathematically similar containers are 124 cm $ ^{2} $ and 279 cm $ ^{2} $. The capacity of the smaller container is 56 ml. Find the capacity of the larger c…

(a) In triangle DEF, DE = 6 cm and DF = 4.8 cm. Using a ruler and compasses only, construct triangle DEF. Leave in your construction arcs. The line EF has been drawn for you. (b) [2] (i) Write down the letter of the triangle that is congruent to triangle T. [1] (ii) Write down th…