Geometry Second Semester Review – Part II
1. DABF @ DDCE. What is the area of trapezoid ADEF?
Use the squares below to answer the following. The squares have area of 4 and 6 square units.
2. What is the length of x? 3. What is the exact length of y?
4. What is x2? 5. What is y2?
6. What is x2 + y2?
7. Which of the following has the greatest area?
a) A right triangle with leg of 6 inches and a hypotenuse of 10 inches.
b) A square whose sides are 4 inches.
c) A trapezoid whose altitude is 10 inches and whose bases are 2 inches and 3 inches.
Use the figure to answer the following
8. What is the length of AD? 9. What is CD2?
Use the parallelogram to answer the following.
10. If AB = 6 cm, what is the area of ABCD?
Answer the following based on the triangle.
11. What proportion is true for this triangle? 12. What is x?
Answer the following using the figure below. Assume that G, F, E, D, and C are right angles.
13. What is the length of CD?
14. What is the length of GF?
15. What is the area of DABC?
16. What is the area of the polygonal region ABDEFG?
Answer the following using the figure and the fact that DE // BC, AD = 15, DB = 45, and AE = 12.
17. Does ? 18. Does ?
19. What is the length of EC?
20. What is the length of AC?
21. What is the geometric mean of 3 and 12?
Answer the following using the 30° - 60° right triangle.
22. How many centimeters is a?
23. How many centimeters is b?
Answer the following using DABC.
24. What is sin A as a fraction? 25. What is tan B as a fraction?
26. What is ÐA to the nearest degree? 27. What is ÐB to the nearest degree?
28. Given the circle O and chords GF and IH, find JF to the nearest hundredth.
Given secant lines BD and CE, answer the following. ArcED = 100° and arcBC = 20°.
29. Which arc is intercepted by ÐEAD?
30. What is the measure of ÐBAC?
31. What is the exact volume of an oblique cylinder with a radius of 5 inches and an altitude of 12 inches?
32. What is the exact surface area of a right cone with a radius of 7 inches and an altitude of 24 inches?
33. What is the exact volume of a right cone with a radius of 10 inches and an altitude of 30 inches?
Use a sphere of radius 4 meters to answer the following.
34. What is the exact surface area of the sphere?
35. What is the exact volume of the sphere?