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Name__________________________ Period ______ Geometry Agenda Week 5.7 Monday April 4, 2016 Tuesday April 5, 2016 Objective Angle Relationships in Circles / Quiz Practice Segment Relationships in Circles Practice Wednesday Spherical Geometry April 6, 2016 Practice Thursday Review April 7, 2016 Study!!! Friday Circles Test April 8, 2016 Stamp Grade Relax First Things First Average __________ Warm Up Monday Tuesday Wednesday Thursday Friday Geometry: Unit 11 – Segment Relationships in Circles Practice – Segment Relationships in Circles Name _____________________________ Pages 505-510 Date ____________ Period _______ Find the value of x in each circle. 1. x 2. 8 5 4 • 15 6 6 x 3. 4. x • x • 9 3 4 8 7 5. 6. 14 x 21 12 • 8 6 7. x 8. x 10 12 8 19 • 4 5 x 9. Molokini is a small, crescent-shaped island 2 1 miles from the Maui coast. It is all that remains of an 2 extinct volcano. What is the approximate diameter of the volcano’s mouth to the nearest foot? Geometry: Unit 11 – Segment Relationships in Circles 10. If AQ = 10, QB = 6, and QD = 15, find CD. D C Q A B 11. M is the midpoint of PQ . RM = 10 cm and PQ = 24 cm A. Find MS. B. Find the diameter of 12. M is the midpoint of PQ . Diameter of is O 13m & RM = 4m A. Find PM. O. B. Find PQ. Find the value of both variables in each figure. 13. 14. 15. The two solutions show how to find the value of x. Which solution is incorrect? Explain the error. Spherical Geometry Student Practice Classify each set of measures as the angle measure of a triangle in Euclidean geometry, a triangle in spherical geometry, or neither. 1. 28, 28, 118 2. 68, 45, 67 3. 55, 103, 61 For #4 – 5, explain how each property of spherical geometry compares to what is true in Euclidean geometry. 4. There are pairs of points on a sphere through which you can draw more than one line. 5. A triangle can have two obtuse angles. 6. The figure at right appears to show parallel lines on a sphere. Explain why this is not the case. 7. Which of the following statements is true in spherical geometry? a. A triangle can have at most one right angle. b. Through any two points there is exactly one line. c. Two perpendicular lines form eight 90 degree angles. d. All equilateral triangles have three angles measuring 60. Geometry Review: Circles Name _____________________________ Date __________ Period_____ 1. Identify all of the following: E • Secant:_________ D • Tangent:_________ Semicircle:_________ C• Chord:_________ •A •F Major Arc:_________ Minor Arc:_________ •B Diameter:_________ Radius:_________ Central Angle:_________ Inscribed Angle:_________ A. 2. B. In the diagram, each line segment is tangent to R . Find the perimeter of XYZ . X A 5 Z • 2 6 •R •C 4 8 • B Y 3. AC is tangent to E and D . If AE = 18, BD = 6, and BC = 7, find AB. A • •B •D • • E 4. Find the center and radius of A that has an equation of x 5 2 y 3 49 . 2 •C 5. Find the value of x. Round answer to the nearest hundredth. •B x C• D• •A 3 24 6. Find the length of LM if the measure of the arc of LM is 60 degrees. Leave your answer in terms of . • 6 ft •L M 7. Find the area of sector QRS. Round your answer to the nearest tenth. 8. WX YZ . Find mWX . (7x - 12) X W Y (4x + 3)o 9. Find mCB . F B C 60o P A D Z 10. Find AB. 4m A B 6m • 11. AB and AC are tangent to A 7y + 4 P . Find AB. B •P 15y C 12. Given O , solve for x. C (2x + 10)o A • B 13. Find the value of x. • x° ( • 220° 14. Find the value of x. • C B • A • 25° 120° •D x • E 15. Find the value of x. 140° A • x •B •C • D 100° 16. Find m1. • 1 60° • • 210° 17. Find the value of x. K• •M 3 •J •N 5 x L• 4