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GEOMETRY SPRING SEMESTER FINALS REVIEW PACKET
For 1–2, use the graph.
1. Which segment is congruent to _________________________________________
2. What is the midpoint of _________________________________________
Use the following information for 3–4.
In the figure,
3. What is the value of x?__________________________________
4. What is mKJM?__________________________________
5. Line segment PQ with endpoints P(4, 2) and Q(2, 0) is rotated 90° clockwise around the origin. What are the
coordinates of the midpoint of _________________________________________
6. State the converse of the statement. Then determine whether the converse is true. Explain.If two angles are vertical angles, then they are congruent.___________________________________________________________________________________________________________________________
7. Use the graph.
Write the vector that maps RST to RST. _________________________________________
Use the figure for 8–9.
8. How many lines of symmetry does the figure have?_________________________________________
9. What are the angles of rotation less than 360 for the figure?_________________________________________
Are triangles DEF and FGH congruent? Explain why or why not. If the triangles are congruent, write a congruence statement._________________________________________
22. In the figure, mBAC (9x 4)° and mBAD (3x 8) °.
What value of x indicates that is the angle bisector of _________________________________________
23. Use the figure.
What is the value of x?_________________________________________
24. The sum of the measures of the interior angles of a regular polygon is 900. How many sides does the polygon have? _________________________________________
25. Triangle RST is an isosceles triangle with mR 120. What is mS? Explain your reasoning.__________________________________________________________________________________
26. The sides of a triangle measure 5 meters and 8 meters. What are the possible side lengths for the third side? Show your work.
Classify the triangle. Explain your reasoning.__________________________________________________________________________________
35. A parallelogram has vertices D(4, 1), E(2, 5), F(4, 3), and G(2, 3). Determine whether DEFG is a rhombus, rectangle, or neither. Explain your reasoning.
47. Rectangles ABCD and EFGH are similar. Rectangle ABCD has a length of 20 cm and a perimeter of 60 cm. Rectangle EFGH has a length of 32 cm. Find the area of rectangle EFGH.
_________________________________________
Use the following information for 53–55.In the figure, PS 4 and SQ 16. Find each length to the nearest tenth.
48.What is the length of _________________________________________
49.What is the length of _________________________________________
50.What is the length of _________________________________________
51.Use the figure.
What is the length of __________________________________________________________________________________
Use triangle XYZ for 52-53. Round to the nearest tenth.
52. What is YX?
_________________________________________
53. What is YZ?
_________________________________________
Use the triangle below for questions 54-55. Round to the nearest tenth.
54. If and b 15 cm, what is a?
_________________________________________
55.If a 12 cm, b 18 cm, and c 8 cm, what is _________________________________________
Use the information for 65-66. A prism has 6-inch square bases and a height of 10 inches. A cylinder has a diameter of 10 inches and a height of 6 inches. 65. Which solid has the greater volume?
_________________________________________
66. Which solid has the greater surface area?
_________________________________________
67. The oblique cylinder shown below has a volume of 36 cubic inches. What is the radius of the base of the cylinder to the nearest tenth of an inch?
_________________________________________
68. A right cone has a slant length of 9 centimeters and a radius of 4 centimeters. What is the surface area of the cone? Round to the nearest tenth of a square centimeter.
_________________________________________
69. The triangular prism has a surface area of 510 square meters. Find the missing value for x.
DIAGRAM IS AT TOP OF NEXT COLUMN
_________________________________________70.A square pyramid and a cube have equal
volumes. The side length of the base of each figure is 16 millimeters. How many times taller is the pyramid than the cube?_________________________________________
71. A cylinder has a radius of 8 inches and a height of 16 inches. The radius of a cone is half the length of the radius of the cylinder. If the cylinder and the cone have equal volumes, how many times greater is the height of the cone than the height of the cylinder? _________________________________________
Use the following information for 80–81. A company sells several sizes of the same design of trash cans. The trash cans consist of a cylinder and a hemisphere. The smallest size trash can has the dimensions shown.
72.What is the volume of the trash can to the nearest tenth of a cubic inch?_________________________________________