Worksheet on Finding MidPoint
To get clear concept on how to find the midpoints between two given coordinate points student’s can practice the questions given in the worksheet on finding midpoint.
We know that the average distance between the two given points is known as the midpoint. Midpoint can be represented by any letter, for example M, N, O, P etc,.
Let us recall the formula for finding the midpoint between any two given points as follows;
Suppose, (x_{1}, y_{1}) and (x_{2}, y_{2}) be the coordinates of the points P and Q respectively and R, the midpoint of the line segment PQ. Then, the coordinates of R are ((x_{1} + x_{2})/2, (y_{1} + y_{2})/2).
To learn more about the formula for finding midpoint Click Here.
Find the coordinates of the midpoints of the linesegments joining each of the following pair of points :
(i) (3, 5) and ( 1,  7) (ii) (7,  8) and (3, 4) (iii) (a,  b) and ( a, b) (iv) (l, m) and (l + m, l  m).
2. (i) One extremity of a linesegment is the point (3,  2) and the middle point of the linesegment is the point ( 2, 3). Find the coordinates of the other extremity. (ii) A diameter of a circle has the extreme points (7, 9) and ( 1,  3). What would be the coordinates of the centre ? (iii) AB is' a diameter of a circle having centre at C; if the coordinates of A and C are (6,  7) and (5,  2), find the coordinates of B.
Answers for the worksheet on finding midpoint between two given points are given below to check the exact answers of the above questions on midpoint.
Answers:1. (i) (1, – 1) (ii) (2,  2) (iii) (0, 0) (iv) (l + m/2, l/2) 2. (i) ( 7, 8) (ii) (3, 3) (iii) (4, 3). ● Coordinate GeometryWhat is Coordinate Geometry? Rectangular Cartesian Coordinates Polar Coordinates Relation between Cartesian and Polar CoOrdinates Distance between Two given Points Distance between Two Points in Polar Coordinates Division of Line Segment: Internal & External Area of the Triangle Formed by Three coordinate Points Condition of Collinearity of Three Points Medians of a Triangle are Concurrent Apollonius' Theorem Quadrilateral form a Parallelogram Problems on Distance Between Two Points Area of a Triangle Given 3 Points Worksheet on Quadrants Worksheet on Rectangular – Polar Conversion Worksheet on LineSegment Joining the Points Worksheet on Distance Between Two Points Worksheet on Distance Between the Polar Coordinates Worksheet on Finding MidPoint Worksheet on Division of LineSegment Worksheet on Centroid of a Triangle Worksheet on Area of Coordinate Triangle Worksheet on Collinear Triangle Worksheet on Area of Polygon Worksheet on Cartesian Triangle
11 and 12 Grade Math
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