Arcs, Chords and Tangents (G.11c/2.1,12.2)

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Presentation transcript:

Arcs, Chords and Tangents (G.11c/2.1,12.2) 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” Regular- workbook p. 311 and 315 HW (day 56): Worksheet day 58 Self Evaluation Pkt (pages 1-6) Pearsonsuccess.net (due Friday)

Obj Check hw answers with key, after completing G.9 Answer hw questions Give answers to 3NW TEI/Sol packet New lesson Quiz day 57

Thm: In a circle or in congruent circles, two chords are congruent iff their corresponding chords are congruent. Ex: In A, if ___  ___, then ___  ___.

Thm: In a circle, if a diameter is perpendicular to a chord, then it bisects the chord and its arc.

Thm: In a circle or in congruent circles, two chords are congruent iff they are equidistant from the center.

Tangent Line- a line that intersects a  in one point (pt of tangency) Thm: If a line is tangent to a , then it is perpendicular to its radius. …..is the converse true???? Thm: If two segments form the same exterior pt are tangent, then they are then they .

Find x. 1. 2. Suppose a chord of a circle is 10 inches long and is 12 inches from the center of the circle. Find the length of the diameter. 3. Suppose the diameter of a circle is 34 inches long and a chord is 30 inches long. Find the distance between the chord and the center of the circle. 4. Suppose a chord of a circle is 24 cm long and is 15 cm from the center of the circle. Find the length of the radius.