1. Ch 11 mini Unit

2. LearningTarget 11-1 Tangents I can use tangents to a circle to find missing values in figures.

3. A Tangent to a Circle is a line in the plane of a circle that intersects the circle in exactly one point. This point is called the point of tangency.

4. If a line is tangent to a circle, then the line is perpendicular to the radius drawn at the point of tangency This gives us a Right triangle, so We need to recall Right triangle properties

5. Find x

10. Inscribed or Circumscribed Do you remember the difference?

11. Two points tangent to a circle from a point outside the circle are congruent

12. Find the perimeter of the triangle

13. Find the perimeter

14. Homework p.586 #1-19 odd skip 5

15. Warmup p.589

16. Learning Target 11-2/11-3 You will be able to use properties of chords to find missing values You will be able to use the Inscribed Angle Theorem to find missing angles and arcs

17. Chord – a segment whose endpoints are on a circle Within a circle or in congruent circles – Congruent central angles have congruent chords – Congruent Chords have congruent arcs – Congruent arcs have congruent central angles

18. Within a circle, – Chords equidistant from the center are congruent – Congruent chords are equidistant from the center

19. Find x

21. More properties of chords In a circle, a diameter that is perpendicular to a chord bisects the chord and its arcs The reverse (converse) of this is true also

26. The measure of an inscribed angle is half the measure of its intercepted arc. Pic/example

27. Properties of Inscribed Angles Two inscribed angles that intercept the same arc are congruent An angle inscribed in a semicircle is a right angle The opposite angles of a quadrilateral inscribed in a circle are supplementary. Examples p. 600

28. The measure of an angle formed by a tangent and a chord is half the measure of the intercepted arc. Pic/example

33. Homework P.593-594 #3-19 odd skip 9 P. 601 1-19 odd

34. WARMUPp. 605 Checkpoint QUIZ

35. Learning Target 11-4 I can find measures of angles formed by chords, secants, and tangents.

36. A secant is a line that intersects a circle at two points. We are going to use secants, tangents, and chords to solve problems See p.607

40. Rules on page 609

41. Learning target 11-5 I can write the equation of a circle

43. Identify the center and the radius

46. Graph

47. Review P.700 1-19, 21-23 P.627 6,7,89-12, 13-15, 16-21