1. 11-1 Tangent Lines
Objective: To use the relationship between two tangents from one point.

2. Vocabulary Inscribed in Circumscribed about
All vertices of a figure lie on the circle.
When a circle is inscribed in a figure.

3. #1 Finding a Tangent
A belt fits tightly around two circular pulleys. Find the distance between the centers of the pulleys.
15 cm
3 cm
15 cm
3 cm
4 cm O P x
7 cm
15 cm

4. #2 Finding a Tangent
35 cm
A belt fits tightly around two circular pulleys, as shown. Find the distance between the centers of the pulleys.
14 cm
8 cm
35 cm
6 cm O P

5. Theorem 11-3
The two segments tangent to a circle from a point outside the circle are congruent. A B O C

6. #3 Circles Inscribed in Polygons
Circle O is inscribed in Triangle PQR. Triangle PQR has a perimeter of 88 cm. Find QY. Q x X x
15 cm P Y O
15 cm Z
17 cm
17 cm R

7. #4 Circles Inscribed in Polygons
Circle O is inscribed in Triangle ABC. Find the Perimeter of Triangle ABC. B
15cm D
15cm
10 cm A E O
10 cm F
8 cm
8 cm C

8. Assignment
Page 586
#4-9; 13-19