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CYCLIC QUADRILATERAL

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Cyclic Quadrilateral:  A  Cyclic quadrilateral or inscribed quadrilateral is a quadrilateral whose vertices all lie on a single circle.  Properties of cyclic quadrilateral: The sum of either pair of opposite angles of a cyclic quadrilateral is 180  ° If the sum of a pair of opposite angles of a quadrilateral is 180 °,the qudrilateral is cycli c.

Chords

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Chords             The line segment connecting two points on a circle's circumference is a  chord . When the  chord  passes through the center of a circle it is called the diameter. Properties of equal chords: Equal chords of a circle subtend equal angles at the centre of the circle. If the angles subtended by the chords of a circle at the centre are equal,then the chords are equal. Equal chords of circle are equidistant from the centre. Chords equidistant from the centre of a circle are equal in length.

Circle

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Circle: A Circle is a closed  figure in a plane and it is the collection of all those points in the plane,which are at a constant distance from a fixed point in the plane. The   fixed point is called the centre of the circle and the constant distance is called the radius of the circle.          There is one and only one circle passing through three given  points. Angle subtended by an arc of a circle The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remianing part of the circle. The angle subtended in a semicircle is aright angle. Angles in the same segment of a circle are equal.

Introduction to area

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Area               In maths, geometry is the science of finding the measurements of shapes. There are several different measurements that can be calculated depending on the type of shape. These measurements are called dimensions. Width, depth, or height are examples of dimensions. Shapes can be broken into planes, geometric figures, or even just a point. Planes only have two dimensions such as length and width. Three-dimensional shapes have length, width and height. A point would only have one dimension. While a point doesn’t take up enough space to calculate for, planes and geometric figures do. This means planes and geometric figures have an area that can be calculated.                   For each shape, there is a different formula to find its area. Three-dimensional shapes have surface area since space inside them will need to be calculated differently. The area inside a three-dimensional shape is called volume. Since calculating three dimensions is much more complex, i

Multiplying by zero

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                                     When we multiply by 0, the answer is ...  zero . Example: 12 × 0 = 0 Also when the zero is in the front of the multiplication: Example: 0 × 5 = 0 Or in the middle: Example: 6 × 0 × 7 = 0 Look at this, Example: What is 5 × 11 × 9 × 2 × 0 × 5 × 15 × 25 ? Did you see the × 0 in there? So the whole answer is 0, no need to do the other multiplications Answer: 5 × 11 × 9 × 2  × 0  × 5 × 15 × 25 =  0

Basic math definitions

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Addition is ... ... bringing two or more numbers (or things) together to make a new total. The numbers to be added together are called the " Addends ": Subtraction is ... ... taking one number away from another. Minuend − Subtrahend = Difference Minuend : The number that is to be subtracted from. Subtrahend : The number that is to be subtracted. Difference : The result of subtracting one number from another. Multiplication is ... ... (in its simplest form)  repeated addition . It can be said that 3+3+3+3+3+3 (six 3s) make 18 But we can also multiply by fractions or decimals, which goes beyond the simple idea of repeated addition: Example:  3.5 × 5 = 17.5 which is 3.5 lots of 5, or 5 lots of 3.5 Division is ... ... splitting into equal parts or groups. It is the result of "fair sharing". Division has its own special words to remember. Let's take the simple question of  22 divided by 5 . The answer is  4 , with  2  left ove

Addition is fun!

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Addition is ... ... bringing two or more numbers (or things) together to make a new total. Here 1 ball is added to 1 ball to make 2 balls:   Using Numerals it is:      1 + 1 = 2       And in words it is:   "One plus one equals two" Example: When we add  2  and  3  we get  5 . We can write it like this: 2 + 3 = 5 Swapping the position of the numbers we are adding still gets the same result! 3 + 2 = 5 ... also ...   2 + 3 = 5 More Examples: 5 + 1 =  1 + 5  = 6 7 + 11 =  11 + 7  = 18 4 + 100 =  100 + 4  = 104 Larger Numbers: Use Addition in Columns To add larger numbers use  Column Addition  :   Names Other names for Addition are  Sum, Plus, Increase, Total And the numbers to be added together are called the " Addends ": For better understanding: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-add-sub-intro/v/addition-introduction https://www.khanacademy.org/math/arithm