GEometrical constructions

4. (a) Without using a protractor or set square, construct a triangle ABC in which AB = 4cm, BC = 6cm and ZABC = 6712". Take AB as the base. (3mks) Measure AC. (b) Draw a triangle A'BC' which is indirectly congruent to triangle ABC. (3mks) (c) Taking the mid point of AB as your centre of rotation (M). Find the triangle A B"Cl the image of A'B'C after -90" (4mks) 5. Construct triangle ABC in which AB = 4.4 cm, BC = 6.4 em and AC = 7.4 cm. Construct an escribed circle opposite angle ACB (5 mks) (a) Measure the radius of the circle (1 mk) (b) Measure the acute angle subtended at the centre of the circle by AB (1 mk) (c) A point P moves such that it is always outside the circle but within triangle AOB, where O is the centre of the escribed circle. Show by shading the region within which P lies. (3 mks) 6. (a) Using a ruler and a pair of compasses only, construct a parallelogram PQRS in which PQ = 8cm, QR = 6cm and