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 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 . 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. RyanBlairUniversityofPennsylvaniaThursdaySeptember27,2011 RyanBlair(UPenn) Math103:Secants,TangentsandDerivatives ThursdaySeptember27,20111/11 Outline 1 Review 2 SecantLinesandTangentLines 3 Derivativ 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.. 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. 9.4. Theorem. In the same circle, or in congruent circles:. Congruent arcs have congruent chords .. Congruent chords have congruent arcs. . Theorem. A diameter that is perpendicular to a chord bisects the chord and its arc. . Portland 2014. What is a circle?. When do we naturally use our own circles?. Who would be in your circle?. The person at the centre of the circle is usually somebody who has been excluded from accessing traditional support . 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). 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”. 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.. 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. 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 .