Grade 10 Using coordinate Geometry. Exercise1 a. Find the distance between A and B.

Slides:

Advertisements

Similar presentations

1.7 Midpoint and Distance in the Coordinate Plane 9/22/10

Advertisements

Writing Linear Equations Using Slope Intercept Form

Department of Mathematics University of Leicester

Co-Ordinate Geometry Maths Studies.

Co-ordinate geometry Objectives: Students should be able to

Warden 2006 To find the gradient of lines perpendicular to each other.

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.

C1: Parallel and Perpendicular Lines

Given three points of a circle: (-1,1), (7,-3), (-2,-6).

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.

Coordinate Geometry – The Circle

Geometry: Distance/ Midpoints. Do Now: Check in Problem (do this by yourself and it will be taken and graded as a hw grade) Directions: Find the value.

Coordinate geometry © Christine Crisp.

Use coordinate geometry to represent and analyze line segments and polygons, including determining lengths, midpoints and slopes of line segments.

Coordinate Geometry Learning Outcomes

Coordinate Geometry I BASIC Point Formulas Distance, Midpoint, Gradient By Mr Porter YOU NEED TO KOWN THE FORMULAE ! 0 x1x1 x2x2 y2y2 y1y1 P(x 1,y 1 )

Use Midpoint and Distance Formulas

Distance and Midpoint Graphing, Symmetry, Circles Solving.

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)

COORDINATE GEOMETRY Distance between 2 points Mid-point of 2 points.

Finding the Distance Between Two Points. Distance Formula Where does this formula come from and how do we use it? Consider the following example….

6/4/ : Analyzing Polygons 3.8: Analyzing Polygons with Coordinates G1.1.5: Given a line segment in terms of its endpoints in the coordinate plane,

Unit 28 Straight Lines Presentation 1 Positive and Negative Gradient Presentation 2 Gradients of Perpendicular Lines Presentation 3 Application of Graphs.

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.

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.

Co-ordinate Geometry Achievement Standard 2.5. The Co-ordinate Plane x y A B C (-4,4) (6,2) (-3,-2)

COORDINATES, POINTS AND LINES S1/W2/HO-1/G.11/Math/RIT-AYA/ Name : _______________ Class : 10 ___ Day/date : _______________.

Unit 2 Test Review Geometry WED 1/22/2014. Pre-Assessment Answer the question on your own paper.

Aim: Review the distance and midpoint Do Now: in the triangle, find the lengths of two legs (-2,4) (3,6) (3,4)

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. Coordinate Plane The coordinate plane is a basic concept for coordinate geometry. It describes a two-dimensional plane in terms of.

Coordinate Geometry Midpoint of the Line Joining Two Points Areas of Triangles Parallel and Non-Parallel Lines Perpendicular Lines.

Segment/Angle Addition Postulates Distance and midpoint in Geometry!!

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.

( ) ( ) , , EXAMPLE 3 Find the midpoint of a line segment

Straight Line Graph revision

Straight Line Graph revision

Medians - Perp Bisectors - Altitudes

1-3 The Distance and Midpoint Formulas

1-3: Measuring Segments Geometry – Grade 7 Book page:20.

Geometry Creating Line Equations Part 1

Distance and Midpoint Formulas

Circles : Introduction.

Lesson 3-6: Perpendicular & Distance

Coordinate Geometry Notes Name:____________________________

Ch 13 coordinate geometry

9.1 Apply the Distance and Midpoint Formulas

Circle geometry: Equations / problems

Co-ordinate Geometry for Edexcel C2

Linear Geometry.

CHAPTER 13 Geometry and Algebra.

Starter: state the gradient and y intercept of each line

9.1 Apply the Distance and Midpoint Formulas

Tuesday, December 04, 2018 Geometry Revision!.

Writing Equations of Lines

Starter: state the gradient and y intercept of each line

Linear Geometry.

Perpendicular Lines a) Work out the gradient of the line AB

The Distance and Midpoint Formulas

3-4 Perpendicular Lines Warm Up Lesson Presentation Lesson Quiz

3.4 Proofs with perpendicular lines

Perpendicular Lines Sunday, 24 February 2019.

13.1 Cooridinate Geometry.

Review Unit 6 Test 1.

The Distance & Midpoint Formulas

Bell work Algebra 2 State the domain and range of each relation. Then determine whether each relation is a function. If it is a function, determine.

Presentation transcript:

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 ?

End