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# Coordinates and Graphics

Questions

1. A triangle ABC is formed by the points A (3,4), B (-7,2), and C (1,-2).

(a) Find the coordinates of the mid-points k of AB and p of AC                    (1 mk)

(b) Find the equation of the perpendicular bisector of the line kp               (2 mks)

1. The size of an interior angle of a rectangular polygon is 6 ½ times that of its exterior angle.

Determine the number of sides of the polygon.

1. The sum of interior angles of two regular polygons of sides n and n + 2 are in the ratio 3:4.

Calculate the sum of the interior angles of the polygons with n sides

4 .        The  area of a rhombus is 60cm2. Given that one of its diagonals is 15cm long. Calculate

the perimeter of the rhombus.

1. In the figure below AE is parallel to BD. BC = BD, AB = 7.25cm, AE = 15.25cm and

ED = 5.25 cm

Find the perimeter of the figure.

1. The figure below shows a trapezium ABCD in which side AB is perpendicular to both AD

and BC.        Side  AD=17cm, DC=10cm

(i) What is the length of side AB

(ii) Find the value of cos(90o – xo) in the form a where a   and  b are integers

b

1. The size of an interior angle of a regular polygon is 3xo while its exterior angle is (x-20)o.

Find the number of sides of the polygon

1.  In the figure above, angle a is half the sum of the other angles. Evaluate the triangle

1. The sum of the interior angles of an n-sided polygon is 1260o. Find the value of n and

hence deduce the polygon

1. Giving reason, find the angle marked n

1. Solve for y in the equation 125 y+1 + 53y = 630

1. The interior angle of a regular polygon is 108o larger than the exterior angle. How many

sides has the polygon?

1. The interior angle of a regular polygon is 4 times the exterior angle. How many sides has

the polygon

1. In the figure below ABCD is a trapezium with DC parallel to AB. DC = 5cm, CB = 4cm,

BD = 8cm    and AB = 10cm

Calculate:

(a) the size of angle BDC

(b) the area of triangle ABD

1. In the figure below, DE bisects angle BDG and AB is parallel to DE. Angle DCF = 60o

and angle   CFG = 100o

Find the value of angle:-

(a) CDF

(b) ABD

1. The size of an interior angle of a regular polygon is 4xo, while its exterior angle is (x – 30)o.

Find  the number of sides of the polygon

1. The sum of interior angles of a polygon is 1440o. Find the number of sides of the polygon

hence   name the polygon