Tuesday, December 04, 2018 Geometry Revision!.

Slides:

Advertisements

Similar presentations

Higher Outcome 1 Higher Unit 1 Distance Formula The Midpoint Formula Gradients Collinearity Gradients of Perpendicular.

Advertisements

Higher Maths The Straight Line Strategies Click to start

Department of Mathematics University of Leicester

Co-ordinate geometry Objectives: Students should be able to

Scholar Higher Mathematics Homework Session

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

Straight Line Higher Maths. The Straight Line Straight line 1 – basic examples Straight line 2 – more basic examplesStraight line 4 – more on medians,

Higher Outcome 1 Higher Unit 1 Distance Formula The Midpoint Formula Gradients Collinearity Gradients of Perpendicular.

Using properties of Midsegments Suppose you are given only the three midpoints of the sides of a triangle. Is it possible to draw the original triangle?

©thevisualclassroom.com Medians and Perpendicular bisectors: 2.10 Using Point of Intersection to Solve Problems Centroid: Intersection of the medians of.

GCSE: Straight Line Equations

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

GCSE Further Maths (AQA) These slides can be used as a learning resource for students. Some answers are broken down into steps for understanding and some.

APP NEW Higher Distance Formula The Midpoint Formula Prior Knowledge Collinearity Gradients of Perpendicular.

Unit 1 revision Q 1 What is the perpendicular bisector of a line ?

Term 3 : Unit 2 Coordinate Geometry

COORDINATE GEOMETRY Straight Lines The equations of straight lines come in two forms: 1.y = mx + c, where m is the gradient and c is the y-intercept. 2.ax.

Circles, Tangents and Chords

Coordinate Geometry Learning Outcomes

CO-ORDINATE GEOMETRY. DISTANCE BETWEEN TWO POINTS - Found by using Pythagoras In general points given are in the form (x 1, y 1 ), (x 2, y 2 ) (x 1, y.

Higher Unit 1 Distance Formula The Midpoint Formula Gradients

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)

Intersection of Straight lines Objectives ─ To be able to find the intersection Pt of 2 lines ─ To solve simultaneous equations ─ To solve the intersection.

Mathematics. Session Three Dimensional Geometry–1(Straight Line)

Straight Line Applications 1.1

An Introduction to Straight Line Graphs Drawing straight line graphs from their equations. Investigating different straight line graphs.

Higher Outcome 1 Higher Unit 1 Distance Formula The Midpoint Formula Gradients Collinearity Gradients of Perpendicular Lines The Equation of a Straight.

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

Linear Functions Lesson 2: Slope of Parallel and Perpendicular Lines.

Coordinate Geometry 2002 Paper 2 Question 2. To find a point of intersection of 2 lines solve by doing a simultaneous equation 4x + y = (1)

Next Quit Find the equation of the line which passes through the point (-1, 3) and is perpendicular to the line with equation Find gradient of given line:

Section 1-1 Points and Lines. Each point in the plane can be associated with an ordered pair of numbers, called the coordinates of the point. Each ordered.

Coordinate Geometry Please choose a question to attempt from the following:

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

Chapter 7 Coordinate Geometry 7.1 Midpoint of the Line Joining Two Points 7.2 Areas of Triangles and Quadrilaterals 7.3 Parallel and Non-Parallel Lines.

1 Find the equation of the line that goes through the points (-3, 6) and (-2, 4). y = -2x.

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.

Geometry Unit 3rd Prep Ali Adel.

Straight Line Graph revision

Straight Line Graph revision

Slope Intercept form. Geometry Unit 2-3, 2-4 Equations of lines Parallel and perpendicular slopes.

To find the solution of simultaneous equations graphically: 1)

Drawing a sketch is always worth the time and effort involved

Circles : Introduction.

Lesson 3-6: Perpendicular & Distance

Geometry Revision contd.

Circles in the Coordinate Plane

Circumcentre: Using Point of Intersection to Solve Problems

Linear Geometry.

Circles in the Coordinate Plane

Linear Geometry.

Coordinate Geometry – Outcomes

Linear Equations in two variables

Solving Problems Involving Lines and Points

Coordinate Proofs Lesson 6-2.

Circles in the Coordinate Plane

Linear Geometry.

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

Writing the Equation of a Line

Straight Lines Objectives:

3-5: Vocabulary rise, run, slope point-slope form of a line

Perpendicular Lines Sunday, 24 February 2019.

Geometry Section 3.5.

Objectives and Student Expectations

Drawing Graphs The straight line Example

Review Unit 6 Test 1.

Higher Maths The Straight Line Strategies Click to start

Intersection of Straight lines

Presentation transcript:

Tuesday, December 04, 2018 Geometry Revision!

Distance between two points 2.Gradient of a line

3.Parallel and Perpendicular lines

Example Two points are plotted at A(1, –3) and B(4, 9). Find (i) the distance between the two points (ii) the gradient of the line AB (iii) the gradient of the line perpendicular to AB.

4.Midpoint between to two points

5.Equation of a line

Example Obtain the gradient of the line which passes through the points (-1, -4) and (4, 6)

Example Find the equation of the straight line passing through the points (-1, 4) and (1, -2)

6. Intersection of two lines Example Solve the following simultaneous equations by means of substitution and drawing the graph. a) b)

A level past paper question1 The Points A, B and C have coordinates (6, 6), (3, 5), (7, 3), respectively. The mid-point of BC is D. The line through B parallel to AC meets AD at E. Show that the equation of AD is And find the equation BE. b) Show that E has coordinates (4, 2) c) Show that BE and EC are perpendicular d) Find the area of triangle BEC.