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# Unit test

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This is a unit test for a geometry course about area and transformations.

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### Unit test

1. 1. Unit Test: Chapters 11, 12 and 13Name: ___________________________<br />This is an open-ended question test. Please show all of your work for each problem. NO WORK=NO CREDIT! All of the formulas you will need are on your formula sheet.<br /><ul><li>Find the area of a parallelogram with a height of 10and a base of 15.
2. 2. Using the following coordinates, graph the quadrilateral and determine whether it is a square, rectangle, or a parallelogram. A(-7, -6), B(-2, -6), C(-2, -3), D(-7, -3) Find the area of the quadrilateral.
3. 3. Find the area of a trapezoid given that the height is 9 and the lengths of the bases are 13 and 25.
4. 4. Using the following coordinates, graph the quadrilateral and determine whether it is a square, rectangle, or a parallelogram. A(-2, 2), B(2, 2), C(7, -3), D(-4, -3) Find the area of the quadrilateral.
5. 5. Find the area of the following quadrilateral.
6. 6. Find the area of a square with perimeter 54 feet.
7. 7. Find the area of the shaded region of the following figure.</li></ul>Find the area of the following two irregular figures:<br /><ul><li>
8. 8. Find the probability of the orange sectors on the spinner. The diameter of the circle is 20.
9. 9. Find the probability of the green sectors on the spinner. The diameter of the circle is 20.
10. 10. Draw the back view and the corner view of a figure given its orthogonal drawing.
11. 11. Identify the following solid. Name the bases, faces, edges, and vertices.
12. 12. Sketch a rectangular prism using isometric dot paper that is 2 units high, 3 units long, and 2 units wide.
13. 13. Draw the net of the solid and find the surface area.
14. 14. Find the lateral area and the surface area of a rectangular prism with sides of the base measuring 4 and 7 and the height being 5.
15. 15. Find the lateral area of a right triangular prism with one side of the base measuring 18, the hypotenuse of the base measuring 30, and the height being 26.
16. 16. Find the surface area of a cylinder given the radius is 2 and the height is 3.5.
17. 17. Find the surface area of a cylinder given the radius is 1.5 and the height is 4.
18. 18. Find the surface area of the following pyramid:
19. 19. Find the surface area of a pentagonal pyramid given that the length of one side of the base is 22 and the slant height is 40.
20. 20. Find the surface area of a cone given that the height is 10 and the radius is 6.
21. 21. Find the surface area of a cone if the height is 28 and the slant height is 40.
22. 22. Find the surface area of a sphere with a radius of 120.
23. 23. Find the surface area of a hemisphere with the circumference of a great circle being 14.1.
24. 24. Find the volume of a rectangular prism if given that the sides of the base measure 102.3 and 52.5 and the height is 79.4.
25. 25. Find the volume of a cylinder if given that the diameter is 8 and the diagonal is 30.
26. 26. Find the volume of a pyramid with a square base. The length of one side is 5 and the height is 7.5.
27. 27. Find the volume of a cone if given the height is 40 and the diameter is 20.
28. 28. Find the volume of a sphere with a diameter of 88.
29. 29. Find the volume of a hemisphere with a diameter of 90.
30. 30. Determine whether the rectangular prisms are congruent, similar, or neither:</li></ul>Directions for 33-35. Determine the distance and midpoint of the two points.<br /><ul><li>A(-3, 3, 1) and B(3, -3, -1)
31. 31. D(0, -5, -3) and E(0, 5, 3)
32. 32. A(2, 1, 6) and Z(-4, -5 ,-3)