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 1.00 To the nearest hundredth of an inch what is the mean of the lengths? 1.17 b) 1.25 c) 1.31 d) 1.39 What is the median? 0.00 b. 1.00 c) 1.25 d). 1.50 What is the probability that a student selected at random will have a change in height less than 1 inch? a) b) c) d)
Inscribed Angles Unit 9 Section 9.5
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:
Other examples Ex. 1: Find x, y, and z z° 90° 80° 55° x° y°
Ex 2: Find x and y. x° y° 120°
Ex 3: Find x. x°
Ex 4: find x and m of arc BCD and m of arc BAD 75° x° B C D
Ex 5: Find x, y, and z. x° y° z° O
Ex 6: Find m< PRT, m< PRQ, and m< QRS 100° 170° Q R P ● S ● T
Practice 1: Find the values of x and y in ⊙O. 80° y° O x° 140° 60° y° x°
Practice 2: Find the values of x and y in ⊙O. 20° 20° O y° 110° x°
Practice 3: Find the values of x and y in ⊙O. 80° 60° y° z° O x° Homework: Practice Worksheet 9.5