1. Use the following information to answer Questions 1-3:
Kerrianne charted the growth of all the students in her class over a 12-month period. The changes in height for the students, in inches, are as follows:
1.25, 2.50, 0.00, 1.00, 0.75, 1.25, 1.50,
2.25, 3.00, 0.25, 0.00, 0.50, and
To the nearest hundredth of an inch what is the mean of the lengths?
b) c) d) 1.39
What is the median?
0.00 b c) d)
What is the probability that a student selected at random will have a change in height less than 1 inch?
a) b) c) d)

2. Inscribed Angles
Unit 9 Section 9.5

3. Follow the steps below using the given circle to answer the questions.
Step 1: Find the center of the circle and
label it O
Step 2: Create a central angle that measures
40° and label the points on the
circle A and B
Step 3: Draw a chord from A to the other side
of the circle and label that point C
Step 4: Draw a chord from B to C
Step 5: Measure angle ACB
The angle you made at C is called an inscribed angle. What can you deduce about the measure of an inscribed angle compared to its intercepted arc measure?
This rule works for any angle whose vertex is on the circle. Other example:

4. Other examples
Ex. 1: Find x, y, and z z°
90°
80°
55° x° y°

5. Ex 2: Find x and y. x° y°
120°

6. Ex 3: Find x. x°

7. Ex 4: find x and m of arc BCD and m of arc BAD
75° x° B C D

8. Ex 5: Find x, y, and z. x° y° z° O

9. Ex 6: Find m< PRT, m< PRQ, and m< QRS
100°
170° Q R P
● S
● T

10. Practice 1: Find the values of x and y in ⊙O.
80° y° O x°
140°
60° y° x°

11. Practice 2: Find the values of x and y in ⊙O.
20°
20° O y°
110° x°

12. Practice 3: Find the values of x and y in ⊙O.
80°
60° y° z° O x°
Homework: Practice Worksheet 9.5