PPT-Rules for Dealing with Chords, Secants, Tangents in Circles

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. Pg 603. Central Angle. An angle whose vertex is the center of the circle. Arcs. Minor Arc. CB. Major Arc. BDC. Semicircle. Endpoints of the arc are a diameter. Measures of Arcs. Minor Arc. The measure of the central angle. Properties of Chords and Arcs. Geometry Honors. What and Why. What?. Find the lengths of chords and measures of arcs of a circle.. Locate the center of a circle using chords.. Why?. To find the radius of a circle in real-life situations such as archaeology.. 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. 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. Hubarth. Geometry. Theorem 10.3. In the same circle, or in congruent circles, two minor arcs are congruent if and only if . their corresponding chords are congruent.. A. B. C. D.  . In the . diagram , . Chords. Although there are many types of chords and chord qualities. , we will focus on the basics; Triads and Seventh chords.. Triads are 3 note chords stacked in 3rds.. Root, 3. rd. , 5. th. . I-3-5 C-E-G. 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. 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.. Geometry. Mr. Bower. BowerPower.net. Circles - Circumference. The perimeter (distance around) a circle is called its CIRCUMFERENCE.. Circles - Circumference. The perimeter (distance around) a circle is called its CIRCUMFERENCE.. Learning Target: . I can review properties of angles and segments in circles to determine their measure and length.. Agenda:. Do Now. Embedded Assessment Self-Assess. Circles Properties Review. Independent Practice. 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 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 .