PPT-Tangents and secants of a circle

Warm Up Write the equation of each item 1 FG x 2 y 3 2 EH 3 225 x x 2 4 3 x 8 4 x x 16 x 8 Identify tangents secants and chords. A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 57513 2003 HighScope Educational Research Foundation 21 Language and Literacy Language and Literacy Language and Literacy Circle one Item Q R S T U V W X Circle one Level 12345 Date Observer Circ 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 . RyanBlairUniversityofPennsylvaniaThursdaySeptember27,2011 RyanBlair(UPenn) Math103:Secants,TangentsandDerivatives ThursdaySeptember27,20111/11 Outline 1 Review 2 SecantLinesandTangentLines 3 Derivativ 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). RULE 1. If two chords intersect in a circle, the product of the lengths of the segments of one chord equal the product of the segments of the other. Explanation for Rule 1:. Intersecting Chords Rule:. 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. . Properties of Circles . The circle is a frequently used component in pictures and graphs, a procedure for generating either full circles or circular arcs is included in most graphics packages.. A circle is defined as the set of points . 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.. Function Review.  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 2.1 – . Rates. of Change and Tangents to Curves. Function Review.  .  .  .  .  .  . 2.1 – . Rates. of Change and Tangents to Curves. Telephone Number E-mail Address 1. CIRCLE 5 NUMBERS and 1 MEGA BALL NUMBER or CHOOSE QUICK PICK ote: If fewer than 5 numbers are circled in any game, additional number(s) will be rando