2013-2014
Geometry
Fourth Nine Weeks Study Guide
SOL G.3
1. What is the midpoint of a line segment from (6, 3) to (-4, 1)?
2. Write the equation of a line that is perpendicular to y = 2x + 5 and passes through the point (6, 4). Does the point
(-2, 8) lie on the perpendicular line?
3. Draw a sketch of the resulting figure.
a. a translation of ABCD across the x-axis/ b. a reflections of ABCD across the x-axis
c. a reflection of ABCD across the y-axis
/ d. a 180o clockwise rotation of ABCD about the origin
4. Draw all of the lines of symmetry on each figure and name two points on each line.
SOL G.7
5. Solve for h.6. Solve for x. Assume the two figures are similar.
7. For what value of x is
SOL G.8
8. A support wire on a television tower is 85 meters long and meets the ground. If the wire forms a 55o with the ground, what is the height of the tower?
9. The angle of depression of a buoy from the top of BarnegatBay lighthouse 130 feet above the surface of the water is 5o. Find the distance x from the base of the lighthouse to the buoy.
10. A support wire on a telephone pole is 25 meters long and meets the ground 5 meters from the base of the telephone pole. What is the height of the telephone pole?
11. Solve for x, the altitude, in the parallelogram below.
12. What is the perimeter of the isosceles trapezoid?13. Solve for c.
30
20
14. Solve for x.15. Solve for d.
16. Find the length of TE if the radius of circle D is 8m.
SOL G.9
17. Find the value of x.18. Find the value of x, y, and z in the parallelogram.
19. Name all the quadrilaterals that have congruent diagonals.
20. Solve for the missing vertex in the parallelogram.21. Find the area of the parallelogram.
SOL G.10
22. How many sides does a polygon have if each interior angle of the regular polygon has a measure of 157.5o.
23. What is the measure of each exterior angle in the regular hexagon?
24. What is the sum of the interior angles of a pentagon?
25. Solve for x.26. Solve for x.
SOL G.11
27. Find the measure of <SUV if <VTS = 28o .
28. Find the area of the shaded region if the radius of circle O is 6.
29. is circumscribed about circle Q. S and T are points of tangency such that ET = 6 and DS = 10. What is the measure of DF?
30. The chords WX and YZ intersect at point V. 31. What is the measure of <ABC?
If WX = 8, WV = 6, and ZV = 4, what is the length of YV?
32. A circle is inscribed in a triangle. If RF = 5 and FE= 14, then ET = _____.
SOL G.12
33. What are the center and the radius of the following circle? (x – 2)2 + (y + 5)2 = 64
34. Write the equation of the circle with a center at (3, -1) and where the point (3, 4) lies on the circle.
SOL G.13
35. Find the surface area and volume of each figure below.
36. There is a square pyramid that fits perfectly inside of a cube. The base of the square pyramid is the same size as the base of the cube and the point on the top of the square pyramid touches the top of the cube. The cube has side lengths of 5 inches. How much free space is remaining inside the cube?
37. Find the surface area of the triangular prism.
SOL G.14
38. How much water will this can hold when it is ¾ full?
39. The ratio of the circumference of two circles is . The radius of the smaller circle is 16 centimeters. What is the radius of the larger circle?
40. The ratio between the volumes of two spheres is 64 to 27. What is the ratio between their respective radii?
Technology-Enhanced Items
1. What is the total number of lines of symmetry for this regular hexagon?
2. Given the quadrilateralQRST, what would be the coordinate of R’ if it werereflected across y = 1?
3. Given the diagram BIRD with the coordinates B(3, 1), I(2, -5), R(-9, 0) and D(-2, 7). Identify the coordinates of B’I’R’D’ if it were translated (x – 1, y + 4).
4. The ratio of the surface area of two cylinders is 1:2. What is the ratio of the volume of these two cylinders?
:
5.The volume of a rectangular prism is 546 in3. A second rectangular prism similar to the first one has linear dimensions 3 times those of the first prism. What is the volume, in inches cubed, of the second prism?