SPECIAL QUADRILATERALS Some quadrilaterals have special names. Each special name has a special property related to it. Note that you can often use these properties to find lengths and angles in qu…
ANGLE PROPERTY OF A QUADRILATERAL A quadrilateral is a polygon with four sides. A quadrilateral has four vertices and two diagonals. For any quadrilateral, the sum of the interior angles is 360°…
TYPES OF TRIANGLE There are three types of triangle. EQUILATERAL TRIANGLE An equilateral triangle has: 1. All it's sides equal 2. All interior angles equal 60°. 3. Three lines of…
ANGLE PROPERTIES OF A TRIANGLE In the fig 28.6, a, b and c ate called interior angles of the triangle. 1. The sum of interior angles of a triangle is equal to 180°.ie. a+b+c = 180° 2. e is cal…
PROPERTIES OF PARALLEL LINES The idea of parallel lines is very important in geometry. In Fig 18.4, AB and CD are two parallel lines. They are crossed by a slanting or oblique line EF, called a…
VERTICALLY OPPOSITE ANGLES We have two lines crossing at 0 to make four angles. Angles a and c are said to be vertically opposite angles. Vertically opposite angles are equal. That's a=c a…
Angles are formed when two lines meet. Acute angles are angles between 0° and 90°. Obtuse angles are angles between 90° and 180°. Reflex angles are angles between 180° and 360°. Complementary …
A scale is used to reduce the actual distance between two points on a map . The scale of a map is an example of ratio. The ratio is often in the form 1: n. For example, 1: 50000 means 1 cm on the…
In financial partnership, two or more people come together to invest in a business. Profits accruing from the investment are usually shared in proportion or ratio to the contributions of the partn…
PROPORTION Proportion is another name for ratio or fraction and it is important that the same units are used. It is sometimes more useful to represent a proportion as a percentage. Example In…
INCREASING OR DECREASING A QUANTITY IN A GIVEN RATIO A quantity can be increased or decreased in a given ratio by multiplying it by a suitable fraction. If a price increase in the ratio 3:2, the…
PROPORTIONAL DIVISION Proportional division is about sharing something in a given ratio. The ratio tells you how to do the sharing. To divide something in a given ratio: 1. Find the total numbe…
RATIO A ratio compares things. The things may be numbers, masses, amounts of money,etc. For example:if we have five boys and seven girls in a class, then we say that the ratio of the boys to gir…
PYTHAGORAS THEOREM This is about right angled triangle. A triangle which has one side to be a right angle is said to be right angled triangle. Figure 3.25 Pythogaras theorem states that for…
INTRODUCTION Simultaneous equations are equations which are true at the same time. I. E. simultaneously. To solve a pair of equation in two variables such as x-y=1 and x+y=5 simultaneously,…
Representation of solution of linear inequality in one variable on a number line To represent the solution of a linear inequality in one variable on a number line, we use the following conventi…
A statement involving the symbols ‘>’, ‘<’, ‘ ≥’, ‘≤’ is called an inequality . For example 5 > 3, x ≤ 4, x + y ≥ 9. (i) Inequalities which do not involve variables are called numerica…
NATIONAL HEALTH INSURANCE LEVY(NHIL) is a tax charged on some goods and services for the provision of health care services in Ghana. The rate NHIL in 2½% of the basic cost of the goods and service…
VAT is a tax charged on goods and services. The rate of VAT is usually given in percentages and it is added to the basic cost. If the VAT rate is x%, then the VAT is given by: VAT=x/100 ✖️ Basic …
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