Question

1. Circles and segments create the many relationships addressed in the theorems throughout this unit. Use those theorems and the information given for the following diagram to find each indicated measure. Show all your work. Note that the importance of justifications for your answers is equal to or greater than the importance of simply the answers in the earning of points.

Answer 1

(a) m<IJK = 90 since segment IK is a diameter
(b) KI = 10 since since LM = KM = KI = 5. The 3 segments are radii.
(c) EP * PL = OP * PF; EP = 2
(d) m<OFH = 178/2 = 89; inscribed angle is half measure of intercepted arc