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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 ?
CO-ORDINATE GEOMETRY. Mid-point of two points: To find the mid-point, we need the middle of the x co-ordinates i.e. the average of 1 and 7, which is In.
Co-Ordinate Geometry Maths Studies.
Co-ordinate Geometry. What are the equations of these lines. Write in the form ax + by + c = 0 1)Passes though (2,5) and gradient 6 2)Passes through (-3,2)
Warden 2006 To find the gradient of lines perpendicular to each other.
C1: Parallel and Perpendicular Lines
COORDINATE GEOMETRY Summary. Distance between two points. In general, x1x1 x2x2 y1y1 y2y2 A(x 1,y 1 ) B(x 2,y 2 ) Length = x 2 – x 1 Length = y 2 – y.
Perpendicular Lines a) Work out the gradient of the line AB b) Draw a line which is perpendicular to the line AB. c) Hence work out the gradient of the.
Writing Linear Equations Using Slope Intercept Form
Coordinate Geometry Learning Outcomes
IB Studies Topic 5.1 and 6.2: straight line and linear models. 5.1 Gradient, equation of a line, parallel and perpendicular lines, points of intersection.
Find the equation of the line with: 1. m = 3, b = m = -2, b = 5 3. m = 2 (1, 4) 4. m = -3 (-2, 8) y = 3x – 2 y = -2x + 5 y = -3x + 2 y = 2x + 2.
Coordinate geometry © Christine Crisp.
Coordinate Geometry – The Circle
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.
Given three points of a circle: (-1,1), (7,-3), (-2,-6).
COORDINATE GEOMETRY Distance between 2 points Mid-point of 2 points.
Co-ordinate geometry Objectives: Students should be able to
COORDINATES, POINTS AND LINES S1/W2/HO-1/G.11/Math/RIT-AYA/ Name : _______________ Class : 10 ___ Day/date : _______________.
Coordinate Geometry Midpoint of the Line Joining Two Points Areas of Triangles Parallel and Non-Parallel Lines Perpendicular Lines.
Finding the Distance Between Two Points. Distance Formula Where does this formula come from and how do we use it? Consider the following example….
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