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…
On our previous lesson, we learnt about single events in probability. But today, we will be moving to the next stage which is multiple events. Multiple Events Independent and Dependent Events …
INTRODUCTION Probability is the chance of an event occurring. Probability is equivalent to the number of ways of achieving success The total number of possible outcomes For example, the pro…
The sum of the interior angles of any quadrilateral is 360°. Consider the two examples below. You could draw many quadrilaterals such as these and carefully measure the four angles. You would fin…
A quadrilateral is a polygon with four sides. Examples of quadrilaterals are kite, parallelogram, rhombus, rectangle, square etc. Check out the following definitions and the quadrilateral family t…
A polygon is a closed figure where the sides are all line segments. Each side must intersect exactly two others sides but only at their endpoints. The sides must be noncollinear and have a common …
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