The movement is to the right if the number is positive and to the left, if the number is negative. ▶︎X‐COORDINATE : The number to the left of the comma in an ordered pair is the x‐coordinate of the point and indicates the amount of movement along the x‐axis from the origin. ▶︎ ORDERED PAIRS: Every point in a coordinate plane is named by a pair of numbers whose order is important these numbers are written in parentheses and separated by a comma. ▶︎ COORDINATE PLANE: The x‐axis, y‐axis, and all the points in the plane they determine. The coordinates for the origin are (0, 0). ▶︎ ORIGIN: The point of intersection of the x‐axis and y‐axis. ▶︎ X‐AXIS AND Y‐AXIS: To locate points in a plane, two perpendicular lines are used-a horizontal line called the x‐axis and a vertical line called the y‐axis. In the same way, each point in a plane is assigned a pair of numbers. ▶︎ COORDINATES OF A POINT: Each point on a number line is assigned a number. Fortunately for you, we are not dealing here with three dimensions, but only with two. Those three numbers allow us to distinguish any point from any other point in space. Suppose if length of rectangle is L unit and breadth of rectangle is B unit then centroid of rectangle will lie on point (L/2, B/2).Every point in space can be assigned three numbers with respect to a starting point. Centroid of rectangle lies in the mid of triangle at half distance of length and half distance of breadth. The opposites sides of rectangle are equal and parallel. Rectangle is a solid closed structure bounded by four lines. The mid point inside quadrilateral is centroid point. As quadrilateral is a two dimensional figure it has two dimensions of length and breadth only. y 1, y 2 and y 3 are y coordinates of vertices of triangle.Ĭentroid for some common plane figures are discussed as follows: Centroid of QuadrilateralĬentroid of a quadrilateral can be easily calculated by moving half the distance in length direction and half distance in breadth direction.x 1, x 2 and x 3 are x coordinates of vertices of triangle and.If the vertices of triangle are in the form of (x 1, y 1 ), (x 2, y 2 ) and (x 3, y 3 ) then centroid of triangle can be define as: Centroid of Triangle (x, y) = (x 1 +x 2 +x 3 /3, y 1 +y 2 +y 3 /3) The centroid of a triangle can be calculated by using centroid formula. Centroid never lies outside the triangle.Median bisects the opposite side of vertex.Centroid divides the median in ratio of 2:1.Centroid is the meeting point of all the three medians of triangle.Some of the properties of the point named as centroid of triangle In the given triangle ABC, the coordinates of triangle are (x 1, y 1 ), (x 2, y 2 ), (x 3, y 3 ) and the medians from all three vertex A, B and C meet at point G which is centroid of the triangle. Centroid is also called as geometric center of triangle. The centroid of a triangle always lies inside the triangle. In other words, the point of intersection medians of triangle is known as centroid of triangle. Centroid Definition in TriangleĬentroid is the point of triangle, where all medians of triangle meet. Note: Median of triangle is defined as the line joining the vertex of triangle with the opposite side and bisecting the opposite side. In further section we will derive the formula of centroid of triangle and discuss some problems based on it. Centroid is point inside triangle, where all three medians of triangle intersect. In mathematics centroid is mainly concerned with triangles. Similarly, we can derive centroid of more geometric figure by calculating mid point that lies inside the figure.
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