PPT-Co-ordinate Geometry of the Circle

Notes Aidan Roche 2009 1 c Aidan Roche 2009 Given the centre and radius of a circle to find the equation of Circle K K r Method Sub centre amp radius into x h 2 y k. Sumit Gulwani. MSR, Redmond. Vijay Korthikanti. UIUC. Ashish . Tiwari. SRI. Given a . triangle XYZ. , construct . circle C. such that C passes through X, Y, and Z.. . 1. Ruler/Compass based Geometry Constructions. 9.7 . Segment Lengths in Circles. Objectives. Find the lengths of segments of chords.. Find the lengths of segments of tangents and secants. .. Finding the Lengths of Chords. When two chords . of a circle intersect, . THE CO-ORDINATE PLANE. DISTANCE BETWEEN TWO POINTS. MID POINT. SLOPE OF A LINE . EQUATION OF A LINE. PARALLE & PERPENDICULAR LINES. Learning Outcome: . Calculate the distance between 2 points.. Calculate the midpoint of a line segment. Distance between 2 points. (-1, -2). (4, 3). d. Calculating the Midpoint. (-1, -2). (4, 3). Co-ordinate Geometry. Page 1 CHAPTER 3 CO - ORDINATE GEOMETRY 9TH 1. Find four different solutions of the equation x+2y=6. 2. Find two solutions for each of the following equations: (i) 4x + 3y = 12 (ii) 2x + 5y = 0 (iii in the (x, y) Plane. Introduction. This chapter reminds us of how to calculate midpoints and distances between co-ordinates. We will see lots of Algebraic versions as well. We will also learn to solve problems involving the equation of a circle. Revision Notes. Active Maths 4 Book 2. Chapter 11. Name. :________________________________. Note: . Make sure to use the page numbers on the slides to refer back to your Active Maths book to get examples on how to complete the questions. . ARM Research. 9. . Unification. Euclidean geometry. L9 . S. 2. Represent the Euclidean point . x. by null vectors. Distance is given by the inner product. Read off the Euclidean vector. D. epends on the concept of the origin. Notes. Aidan Roche. 2009. 1. (c) Aidan Roche 2009. Given the centre and radius of a circle, to find the equation of Circle K?. K. r. Method. Sub centre & radius into: . (x – h). 2. (y – k). - Outcomes. Recognise the equation of a circle.. Solve problems about circles centred at the origin.. Solve problems about circles not centred at the origin.. Determine whether a given point is inside or outside a circle.. Grade. Lesson 4: Circumference of a Circle. Cornell Notes Header. Topic:. . Geometry . 6. th. Grade (Unit 9 pg. 4). E. Q.:. . How is pi related to the circumference of a circle?. Name:. _____________________________. Which term best defines the type of reasoning used below?. “Abdul broke out in hives the last four times that he ate chocolate candy. Abdul concludes that he will break out in hives if he eats chocolate.”. Delaunay Triangulations. Michael Goodrich. with slides from Carola . Wenk. 2. Triangulation. Let . be a finite set of points in the plane.. A . triangulation of . P. . is a simple, plane (i.e., planar embedded), connected graph . This Slideshow was developed to accompany the textbook. Big Ideas Geometry. By Larson and Boswell. 2022 K12 (National Geographic/Cengage). Some examples and diagrams are taken from the textbook.. Slides created by .