1. 2016 - 2017 GSE Geometry End of Course Study Guide
Unit 4 – Circles and Volume
Unit 5 – Geometric and Algebraic Connections
Unit 6 – Applications of Probability

3. Find the measure of major arc DCB in circle P.

4. 2. Which statement matches this picture:
A line is tangent to a circle if and only if it is perpendicular to the radius at the point of tangency
Arc Addition Postulate
If two segments from the same exterior point are tangent to the circle, then they are congruent
Central Angle

5. 3. Trees that are cut down and stripped of their branches for timber are approximately cylindrical. A timber company specializes in a certain type of tree that has a typical diameter of 50 cm and a typical height of about 10 meters. The density of the wood is 380 kilograms per cubic meter, and the wood can be sold by mass at a rate of $4.75 per kilogram. What is the minimum number of whole trees that must be sold to raise at least $50,000? 15 14
746
50,000

6. 4. If the circumference of the circular base of a cylinder is doubled, how does the volume of the cylinder change?
The volume is eight times larger
The volume is tripled
The volume is quadrupled
The volume is doubled

7. 5. What would the equation of the circle be if the radius is 3 and the center is (-1, -1)?
(x + 1)2 + (y + 1)2 = 3
(x + 1)2 + (y + 1)2 = 9
(x - 1)2 + (y - 1)2 = 3
(x - 1)2 + (y - 1)2 = 9

8. 6. Identify the radius for the circle in standard form x2 + y2 - 12x - 12y + 36 = 0
144 12 36

9. 7. Find P(unshaded or E). A card is drawn from the cards shown.
.571
.714
.428
.143

10. 8.

11. 9.

12. 10.

13. 11.

14. 12.

15. 13.

16. 14.

17. 15.

18. 16.

19. 17.

20. 18.

21. 19.

22. 20.

23. 21.

24. 22.

25. 23.

26. 24.

27. 25.