1. Warmup- put on scratch paper!
Find x.
1) )

2. Intersections of Circles and Tangent Segments

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

4. 1. Find the value of x. R S T

5. 2. Find the value of x. R S T

6. 3. Find the value of x. B 3 A C 4 P D E

7. Remember!
If a line is tangent to a circle, then it is perpendicular to the radius drawn to the point of tangency!

8. 4. Find the value of x. *Use Pythagorean thm!12 B 9 x
leg2 + leg2 = hyp2
= x2
x = 15

9. RQ = 16 122 + (RQ)2 = 202 leg2 + leg2 = hyp2 5. Find the length of RQ.8 R Q
RQ = 16

10. 6. Is CB tangent to the circle?
leg2 + leg2 = hyp2? A 32
= 322 ? C 16 24 B No

11. 8. A green on a golf course is in the shape of a circle
8. A green on a golf course is in the shape of a circle. Your golf ball is 8 feet from the edge of the green and 32 feet from a point of tangency on the green.
What is the radius?
b) How far is your ball from the cup at the center?
x = 60 ft.
x = 68 ft.