1. Geometry/Trig Name: __________________________
Unit 8 GSP Circles Lab Date: ___________________________
Circles Day 3 – Section 9.5
Theorem 9-7
Inscribed Angle (see note in BLUE on GSP for definition): _________________________________________________________ ______________________________________________________________________________________________________________________
TAB 1
Sketch the Diagram
Fill in the Measurements:
mÐABC
mADC
TAB 1
mADC
Conclusion (Theorem 9-7): The measure of an inscribed angle is equal to __________________________ of its intercepted arc.
Example:
Example: A E D B C F H J G
92°
44°
109°
TAB 1
mAE = 102
mÐABE = __________
mÐACE = __________
mÐADE = __________
mBD = 129
mÐBAD = __________
mÐGFJ = ________
mHJ = __________
mFG = __________
mFGH = _________
mFHG = _________
TAB 1

2. Circles Day 3 (Section 9-5) – page 2
Geometry/Trig
Unit 8 GSP Circles Lab
Circles Day 3 (Section 9-5) – page 2
Section 9.5 Corollary 1
Sketch the Diagram
(include measurement):
TAB 2
Complete:
AB is a _______________.
ACB is a _______________.
TAB 2
Conclusion (Corollary 1): An angle inscribed inside of a semicircle is ___________________________________.
Examples: (AB is a diameter of each circle). x° y° w° z°
mBD = 80
mÐADB = _____ mÐACB = _____
w = _________ x = __________ y = _________ z = __________
TAB 2 B A D
AB = 26, AD = 24, DB = ________
mÐDBA = ______
(d) mÐDAB = ______
TAB 2

3. Circles Day 3 (Section 9-5) – page 3
Geometry/Trig
Unit 8 GSP Circles Lab
Circles Day 3 (Section 9-5) – page 3
Section 9.5 Corollary 2
Sketch the Diagram
(identify the four angle measurements):
TAB 3
mÐA = _______
mÐB = _______
mÐC = _______
mÐD = _______
TAB 3
Conclusion (Corollary 2): If a quadrilateral is inscribed in a circle, then its opposite angles are _____________________.
Example:
Find:
mÐJKL = __________
mÐKLM = __________
mMJK = ___________
mJK = _____________
mMLK = ____________
mLMJ = ____________
mLMK = ____________
TAB 3
mÐLMJ = 73
mÐMJK = 88
mMJ = 102
TAB 3

4. Geometry/Trig
Unit 8 GSP Circles Lab
Circles Day 3 (Section 9-5) – page 4
Section 9.5 Theorem 9-8
Sketch the Diagram
TAB 4
mÐDBC
mBGD
mBGD
TAB 4
Conclusion (Theorem 9-8): The measure of an angle formed by a chord and a tangent is equal to _______ the measure of the intercepted arc.
Examples:
Find:
mAC = __________
mÐBAC = __________
mÐDAC = __________
TAB 4
Find:
mAC = __________
mÐBAC = __________
If mAD = 100, find:
mACD = ___________
mCD = _____________
TAB 4
DON’T FORGET TO TAKE QUIA QUIZ CIRCLES DAY 3!!