PPT-Tangents

The slope of the secant line is given by The tangent lines slope at point a is given by a x Example Find the equation for the line tangent to the parabola y x 2 at the point 1 1 Another Form. neclabscom NEC Laboratories America 10081 N Wolfe Road Cupertino CA 95129 Tong Zhang tzhangstatrutgersedu Rutgers University 110 Frelinghuysen Road Piscataway NJ 08854 Abstract Local Coordinate Coding LCC introduced inYuetal2009isahighdimensionalnon Pg 595. Circle. the set of all points equidistant from a given . point. Center. Congruent Circles. have . the same . radius. “Circle P” or . ○. P. Radius, r. the distance from the center to a point on . 9.5 . Tangents to Circles. Objectives. Identify segments and lines related to circles.. Use properties of a tangent to a circle. .. Some definitions you need. Circle. – set of all points in a plane that are . Theorem:. . Two chords are congruent IFF they are equidistant from the center.. . A. B. C. D. M. L. P. AD .  BC. IFF. LP .  PM. Ex. 1: . IN . A, PR = 2x + 5 . and QR = 3x –27. Find x.. P. Properties of Tangents. Geometry Honors. What and Why. What?. Find the relationship between a radius and a tangent, and between two tangents drawn from the same point.. Circumscribe a circle. Why?. To use tangents to circles in real-world situations, such as working in a machine shop.. Secant and Tangent. Interior angle = ½ intercepted arc. Two Secants:. Interior angle = ½ (sum of intercepted arcs). Two Secants. Exterior angle = ½ (far arc – close arc). Two Tangents. Exterior angle = ½ (far arc – close arc). Find the equations of tangents at given points. Find the points on the curve if tangent slope is known. Find equations of tangents . parallel. to given lines through a given point.. Find equations of tangents . Obj. : . SWBAT find the lengths of chords, arc measures and tangent lines. (G.11a, b). WU. : checkpoint . G.5 graded. !!!. **hw/hw log/foldable: “Arcs & Chords” and “Tangents”. storybook: “Secants/Tangents/Chords in Circles”. 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. . Warm Up. Write the equation of each item.. 1.. . FG. . x. = –2. y. = 3. 2.. . EH. 3.. . 2(25 –. x. ). = x . 2. 4.. 3. x . 8. = . 4. x. x. = 16. x. = 8. Identify tangents, secants, and chords.. Chapter 10. This Slideshow was developed to accompany the textbook. Larson Geometry. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook.. Dan Dreibelbis. University of North Florida. Richard. Goals. What is a 3-D matrix?. Vector multiplication with a tensor. Geometric objects from tensors. Motivation. Pretty pictures. Richard’s work. Function Review.  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 2.1 – . Rates. of Change and Tangents to Curves. Function Review.  .  .  .  .  .  . 2.1 – . Rates. of Change and Tangents to Curves.
 \n\r\r \r\r \r  \r \r\r  \r \r