1. Good morning!! Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd 8.3 m 2.2 ft

2. HW Answers PracticeHW 1. arc AB1. a. angles DOC, BOC, BOA, AOD 2. arc ADBb. Arcs AB, ABC, AD, DC 3. arc PSQc. many 4. 63 degd. Arc BAD or BCD 5. 117 dege. AB, BE, BD 6. 130 degf. Angle AOD 7. 140 deg2. 30 deg, 150 deg 8. 75 deg3. 125 deg, 227 deg 9. 225 deg4. 67 deg, 203 deg 10. 120 deg5. 70 deg, 200 deg 11. 270 deg6. 125 deg 12. 120 deg7. 102 deg, 82 deg

3. TANGENTS A line is tangent to the circle only if it is perpendicular to the radius drawn to the point of tangency

4. Is AD tangent or not tangent? No, point D is not tangent to the circle.

5. Is AB tangent or not tangent? Use Pythagorean Theorem to find out. Yes 68 2 + 51 2 = 85 2

6. Is AB tangent or not tangent? Use Pythagorean Theorem to find out. No 8 2 + 16 2 ≠ 19 2

7. BC is a radius of Circle C AB is tangent to Circle C Solve for x. x 2 + 96 2 = 100 2 x = 28

8. Solve for x. BC is a radius of Circle C AB is tangent to Circle C x 2 + 48 2 = 80 2 x = 64

9. Common Tangents A line that is tangent to more than one circle is referred to as a common tangent. Both lines k and j are common tangents. k j Common External Tangents

10. Common Internal Tangents Common internal tangents intersect the line that connect the center of the circles whereas common external tangents do not intersect that line. Both line j and line k are common internal tangents. Common internal tangents

11. Congruent Tangent Lines Tangent Lines Theorem: If two segments from the same exterior point are tangent to a circle, then they are congruent. Name the congruent segments above!

12. Party Hat Problems (Tangent/Tangent)

13. R S T If two segments from the same exterior point are tangent to a circle, then they are congruent. Party hat problems!

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18. CLASS WORK IF ON TASK, NO HW THIS WEEKEND!!! BIG IF! Homework