PPT-Tangents to Circles

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. 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 . Ms. . Andrejko. Vocabulary. Radius-. a segment with endpoints at the center and on the circle. Chord-. segment with both endpoints on the circle. Diameter-. chord that passes through the center and has endpoints on the circle. in the UK. ISTR, Muenster, Germany. July 2014. Angela . Eikenberry. , University of Nebraska at Omaha, USA. Beth Breeze, University of Kent, UK. Overview. Definition of a giving circle. Previous relevant studies. Geometry 1B. Things we already know…. Circles. The set of all points in a plane that are a given distance (radius) from a given point (center)in the plane. Radius. Segment that joins the center to a point on the circle. 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 . 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:. AIM . MTC . Session. September 24. , 2016. Apollonius of . Perge. (c.262-c.190 BC). Ancient Greek mathematician. Born in . Perge. . (southern Asia Minor). Educated in Alexandria (?). Not really sure when he lived. 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. Responsibilities. Cassandra H. Leung | www.cassandrahl.com | @Tweet_Cassandra. Introduction. The Need. The . Challenges. Potential Solutions. RACI Matrix. Circles. Creating. . Testing. . Circles. The Format. The set of all points in a plane that are equidistant An angle whose vertex is the is 15 16 A radius drawn to a tangent at the point of 17 exterior point to a circle are congruent 18 In decisions and living independently. Example. of Poland. Europe in Action. Vilnius. , . 5 . June. 2019. Adam Zawisny, PSONI. adam.zawisny@psoni.org.pl. Workshop plan. Presentation of the . Circles. of .