Finding the length of a straight line What is a straight line? A straight line is the set of all points between and extending two points. In most geometries, a line is a primitive object that does not have formal properties beyond length, its single dimension. The two properties of a straight line in Euclidian […]
Sets A rhombus is a four sided shape with sides of equal lengths and opposite ones parallel to each other. Properties 1. It’s a parallelogram with equal side lengths. 2. All sides are congruent. 3. The opposite angles are congruent. 4. Opposite sides are parallel. 5. The diagonals bisect each other and are perpendicular. 6. The […]
Trapezium Trapezium is a four sided shape where two sides are parallel,side lengths and angles are not equal. The parallel sides are called bases and the non parallel sides are called legs Types of Trapezium Isosceles Trapezium: “The legs or the not parallel sides are equal.” Scalene Trapezium: “A trapezium with all the sides and […]
Square Square is a four sided shape which have all the sides of equal length and also the angles are equal, all 90°. The area and the perimeter of a square The area of a square is the plane surrounded by the sides. To find the area of the square we multiply side times side or […]
Rectangle A Rectangle is a four sided-shape where all the angles are right-angled (90o). Properties 1. It’s a parallelogram with four right angles. 2. It’s diagonals bisect each other. 3. The opposite side of a rectangle is equal. 4. The opposite side of a rectangle is parallel. The area and the perimeter of Rectangle The area of a Rectangle is the […]
Parallelogram Parallelogram is a four sided shape where opposite sides are parallel. Properties: 1. Opposite sides are congruent. 2. Opposite angles are congruent. 3. Consecutive angles are supplementary. 4. The diagonals of a parallelogram bisect each other. 5. Each diagonal of a parallelogram separates it into two congruent triangles. 6. If one angle is right, then all the angles […]
Circle Definition A circle is the set of all points in a plane that are equidistant from a given point that is called the origin. Origin is the center of the circle Radius is the distance from the center to any point on the circle. We label it with r. Diameter is the segment that passes throw the origin and […]
Parallel and Perpendicular lines Two lines in a plane when are extended either meet or they don’t meet at all. Parallel linesTwo lines on the same plane are parallel if they never intersect with each other even if we extend them. The distance between them is always the same and they have exactly the same […]
Scalar and Vector product There are two different ways in which vectors can be multiplied: the scalar and the vector product. Scalar Product Let’s suppose that we have two vectors $displaystyle overrightarrow{a}$and $displaystyle overrightarrow{b}$ shown below with the same direction and also the angle between them labeled ϴ. Definition: The scalar product of the vector […]
Similar triangles What are similar triangles? Similar triangles are triangles in which their corresponding angles are congruent and their corresponding sides are proportional. They are the same shape but not basically the same size. Three rules to prove if two triangles are similar 1. AA – the Angle-Angle rule states that if two corresponding angles of our two triangles are […]
Pythagorean Theorem Pythagorean theorem is used in a right angle triangle to calculate the sides of the triangle. When we are given two sides length in a right angle triangle we can find the missing side by using the Pythagorean theorem. Also to prove if a triangle is a right angle triangle. TIP! Don’t forget to read […]
Congruent triangles Two triangles are congruent if all their corresponding angles have the same measure and all their corresponding sides have the same length. Four rules of proving that two triangles are congruent Rule 1: The SSS rule: Side-Side-Side rule The side-side-side rule states that if the three sides of a triangle are equal to the three sides of the […]
Triangles A triangle is plane shape called a polygon that is formed by three edges and three vertices. TIP! Firstly you need to read Polygons Properties of Triangles 1. The sum of all internal angles of a triangle is 180° 2. The sum of any two side lengths in any triangle is always greater than the length of the third […]
Polygons Polygons are the part of the plane bounded by a dashed line enclosed. So, basically a polygon is made from straight lines. Polygons are classified by the number of sides that they have. Three sided polygons A three sided polygon is a triangle. The internal angles of all triangles add up to 180°. Triangles can […]
