Mathematics 0580: POLYGONS Topical Past Paper Questions

NOT TO SCALE The diagram shows triangle $ABC$. $BC=15\mathrm{~cm}, AC=15\sqrt{3}\mathrm{~cm}$ and angle $ABC=120^{\circ}$. > **(a)** Show that triangle $ABC$ is an isosceles triangle. [4] > **(b)** Calculate the shortest distance from $B$ to $AC$. ..... cm [3]

(a) The diagram shows a regular decagon. AB is a line of symmetry of the decagon. Work out the value of d. d= ..... [3] (b) The exterior angle of a regular polygon with $n$ sides is $45^{\circ}$. Work out the value of $n$.

(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…