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**Coordinates and Graphics**

__Questions__

- 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)

- 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.

* *

- 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

* *

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4 . The area of a rhombus is 60cm^{2}. Given that one of its diagonals is 15cm long. Calculate

the perimeter of the rhombus.

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- 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.

* *

- 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(90 ^{o} – x^{o})** in the form

**where a**

__a__**and b are integers**

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**b**

- The size of an interior angle of a regular polygon is
**3x**while its exterior angle is^{o}**(x-20)**^{o. }

Find the number of sides of the polygon

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

- The sum of the interior angles of an
**n**-sided polygon is 1260^{o}. Find the value of**n**and

hence deduce the polygon

- Giving reason, find the angle marked
**n**

- Solve for
**y**in the equation 125^{y+1}+ 5^{3y}= 630

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- The interior angle of a regular polygon is 108
^{o}larger than the exterior angle. How many

sides has the polygon?

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

the polygon

* *

- 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

* *

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

and angle CFG = 100^{o}

Find the value of angle:-

(a) CDF

(b) ABD

- The size of an interior angle of a regular polygon is 4x
^{o}, while its exterior angle is (x – 30)^{o}.

Find the number of sides of the polygon

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- The sum of interior angles of a polygon is 1440
^{o}. Find the number of sides of the polygon

hence name the polygon

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- In the figure below PQ is parallel to RS. Calculate the value of
**x**and**y**

- The interior angle of a n-sided regular polygon exceeds its exterior angle by 132
^{o}.

Find the value of n

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Read Also: **Angle and Plane**