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Grade 10 Using coordinate Geometry
Exercise1 a. Find the distance between A and B.
Exercise1 b. Find the midpoint of AB.
Exercise1 a. Find the gradient of the interval joining A and B.
Distance AB Midpoint of A and B Gradient of the line AB
Exercise2 a. What is the equation of AB ? OC is perpendicular to AB The y-intercept of AB is: The Gradient of AB is: So, the equation of AB is: y =
Exercise2 a. What is the gradient of OC ? OC is perpendicular to AB The equation of OC is: y = b. What is the equation of OC ?
Exercise3 a. Find the coordinates of E, the midpoint of AB.
Exercise3 b. Find the length of OE.
Exercise3 c. Find the length of EA.
Exercise3 d. What can you say about the distance of E from O, A and B ?
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– 5 + (– 1) ( ) = 2 2, x 1 + x 2 y 1 + y 2 2 2, Find the midpoint of a line segment EXAMPLE 3 Let ( x 1, y 1 ) = (–5, 1) and ( x 2, y 2 ) = (– 1,
Warden 2006 To find the gradient of lines perpendicular to each other.
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©thevisualclassroom.com (2,4) (12, 8) 2.7 Determining the Midpoint of a Line Segment (7,6) Find the midpoint between the points (2, 4) and (12, 8) 2 12.
IGCSE Revision Lesson 3 I can calculate the gradient of a straight line from the co-ordinates of two points on it I can calculate the length and the co-ordinates.
10.1 The Distance and Midpoint Formulas What you should learn: Goal1 Goal2 Find the distance between two points and find the midpoint of the line segment.
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