Review for Mid Unit Test

1. Review for Mid Unit Test Saturday, October 19, 2019 Essential Question: How do we use the properties of tangents, secants, and angles in a circle? M2 Unit 3: Day 6 Review of Lessons 6.1,6.2,6.3,6.4,6.5, and 6.6

2. Arcs and Chords -Two minor arcs are if and only if their corresponding chords are  - Inscribed polygons has each vertex on the circle - If the diameter of a circle is perpendicular to a chord, it bisects the cord & the arc -Two chords are iff they are equidistant from the center. arc of the chord   chord 11 11 .

3. An inscribed ∠ has its vertexon the circle Inscribed polygons have all vertices on the circle Opposite ∠ ‘s of inscribed quadrilaterals are supplementary The measure of inscribed ∠’s = ½ intercepted arc If an inscribed ∠ intercepts a semicircle, the m∠ = 90° If 2 inscribed ∠ ‘s intercept the same arc, the ∠‘s are  Inscribed Angles  Inscribed ∠ Intercepted arc red & blue ∠‘s are

4. Tangent lines intersect the circle at 1 point—the ‘point of tangency’ A line is tangent to the circle iff it is perpendicular the the radius drawn at that particular point Tangents • • If a point is outside the circle & 2 tangent segments are drawn from it, the 2 segments are congruent. . • Tangents can be internal or external  

5. A secant line intersects the circle in 2 points Secants, Tangents & Angle Measures I Intersecting at point of tangency A B C D 1 secant & 1 tangent

6. Secants, Tangents & Angle Measures 2 secants: forms 2 pair of vertical angles Vertical ∠ are  II B C 1 2 Intersection in interior of circle A D

7. Secants, Tangents & Angle Measures III Intersection at exterior point Case 1 2 secants C B P A D C D Case 2 1 secant & 1 tangent P A B Case 3 2 tangents B P Q A

15. 31) x = _____

16. 32) 33) 34) AB = ____

17. Homework Complete the Study Guide Handout