2011-2012 Honors Geometry Final Exam Study Guide
2011-2012 Honors Geometry Final Exam Study Guide
2011-2012 Honors Geometry Final Exam Study Guide
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<strong>2011</strong>-<strong>2012</strong> <strong>Honors</strong> <strong>Geometry</strong> <strong>Final</strong> <strong>Exam</strong> <strong>Study</strong> <strong>Guide</strong><br />
Multiple Choice<br />
Identify the choice that best completes the statement or answers the question.<br />
____<br />
1. In each pair of triangles, parts are congruent as marked. Which pair of triangles is congruent by<br />
ASA<br />
A. C.<br />
B. D.<br />
____<br />
____<br />
2. Which three lengths could be the lengths of the sides of a triangle<br />
A. 20 cm, 6 cm, 6 cm C. 9 cm, 14 cm, 22 cm<br />
B. 14 cm, 6 cm, 20 cm D. 8 cm, 23 cm, 11 cm<br />
3. Which figure is a convex polygon<br />
A. C.<br />
B. D.
Short Answer<br />
4. Are E, F, and H collinear If so, name the line on which they lie.<br />
F<br />
G<br />
E<br />
H<br />
5. Name the line and plane shown in the diagram.<br />
M<br />
P<br />
N<br />
O<br />
6. Name the ray in the figure.<br />
C<br />
D<br />
7. If T is the midpoint of find the values of x and ST.<br />
S<br />
T<br />
8x 4x + 20<br />
U
8. Name an acute angle, an obtuse angle, and a right angle.<br />
Q<br />
P<br />
T<br />
R<br />
S<br />
9. If and then what is the measure of<br />
10. bisects , , . Find .
11. Line r is parallel to line t. Find m 5.<br />
r<br />
7<br />
138°<br />
1 3<br />
t<br />
4<br />
5<br />
2<br />
6<br />
12. Find the value of the variable if and<br />
1 2<br />
3 4<br />
l<br />
5 6<br />
7 8<br />
m<br />
13. Find the value of k.<br />
80°<br />
40° k °
14. What is the measure of a base angle of an isosceles triangle if the vertex angle measures 44° and<br />
the two congruent sides each measure 21 units<br />
44°<br />
21<br />
21<br />
Drawing not to scale<br />
15. Classify the polygon by its sides.<br />
16. ABCD is a parallelogram. If then<br />
A<br />
B<br />
D<br />
C
17. LMNO is a parallelogram. If NM = x + 13 and OL = 3x + 3 find the value of x and then find NM<br />
and OL.<br />
O<br />
N<br />
L<br />
M<br />
Solve the proportion.<br />
18.<br />
19.<br />
20. Find x so that .<br />
R<br />
Q<br />
S<br />
P<br />
T<br />
, , ,
21. . Complete the statements.<br />
A<br />
E<br />
G<br />
B<br />
F<br />
H<br />
D<br />
J<br />
C<br />
a.<br />
b.<br />
GH<br />
DJ<br />
<br />
AB<br />
Find the geometric mean of the pair of numbers.<br />
22. 400 and 4<br />
23.<br />
Find the length of the missing side. The triangle is not drawn to scale.<br />
8<br />
6
24.<br />
13<br />
12<br />
25. A triangle has sides of lengths 9, 7, and 12. Is it a right triangle Explain.<br />
26.<br />
Find the value of x. Round your answer to the nearest tenth.<br />
8<br />
<br />
x<br />
Not drawn to scale<br />
Find the value of x. Round to the nearest tenth.<br />
27.<br />
20<br />
x<br />
<br />
Not drawn to scale
Find the value of x. Round to the nearest degree.<br />
28.<br />
9<br />
18<br />
x<br />
Not drawn to scale<br />
29.<br />
19<br />
x<br />
11<br />
Not drawn to scale<br />
Find each measure using the given measures of<br />
. Round measures to the nearest tenth.<br />
30. If 30.4, 24.3, and 15.4, find .<br />
31. In , given the following measures, find the measure of the missing side to the nearest tenth..<br />
, ,
32. Name the minor arc and find its measure.<br />
A<br />
)<br />
D<br />
C<br />
115°<br />
B<br />
33. Name the major arc and find its measure.<br />
A<br />
D<br />
C<br />
)50°<br />
B
Use the diagram to find the measure of the given angle.<br />
C<br />
B<br />
A<br />
50°<br />
D<br />
F<br />
E<br />
34.<br />
35.<br />
36.<br />
Use the diagram to find the measure of the given angle.<br />
P<br />
S<br />
(3 x+ 35)°<br />
R<br />
(4 x+ 15)°<br />
Q<br />
T<br />
37.
Find the measure of the numbered angle.<br />
38.<br />
1<br />
130°<br />
100°<br />
39. Find the measure of 8<br />
8<br />
220°
Find x. Assume that any segment that appears to be tangent is tangent.<br />
40.<br />
x°<br />
10° 60°<br />
Find the circumference. Leave your answer in terms of .<br />
41.<br />
7.7 cm<br />
42. Find the perimeter of the rectangle.<br />
35 ft<br />
55 ft
Find the area of the circle. Leave your answer in terms of .<br />
43.<br />
1.9 m<br />
44. Find the area of the shaded region when the circle is removed from the trapezoid.. Dimensions are<br />
in feet. Use 3.14 for .<br />
45. The figure is formed from rectangles. Find the total area.<br />
7 ft<br />
3 ft<br />
3 ft<br />
10 ft
Find the area.<br />
46.<br />
5.1 cm<br />
3.8 cm<br />
47. Find the area<br />
9 cm<br />
15 cm<br />
48. Find the area<br />
9 cm<br />
8 cm<br />
13 cm<br />
9 cm 11 cm
49. Find the area.<br />
19 in.<br />
12.6 in.<br />
14.5 in.<br />
29.2 in.<br />
50. The area of a parallelogram is 400 cm 2 and the height is 40 cm. Find the corresponding base.<br />
Find the area of the indicated sector(s). Then find the probability of spinning the color indicated if<br />
the diameter of the spinner is 12 units.<br />
51. blue<br />
blue<br />
72°<br />
72°<br />
72°<br />
72°<br />
72°<br />
blue
52. white<br />
white<br />
orange<br />
46°<br />
blue<br />
44° 90°<br />
43° 42°<br />
orange<br />
orange<br />
48° 47°<br />
blue white<br />
53. Find the probability that a point chosen at random lies in the shaded region.<br />
Find the surface area of the cylinder in terms of .<br />
54.<br />
5 in.<br />
11 in.<br />
Not drawn to scale
Find the surface area of the pyramid shown to the nearest whole number.<br />
55.<br />
9 ft<br />
4 ft<br />
4 ft<br />
Not drawn to scale<br />
Find the volume of the given prism. Round to the nearest tenth if necessary.<br />
56.<br />
4 ft<br />
14 ft<br />
8 ft<br />
Not drawn to scale<br />
Find the volume of the cylinder in terms of .<br />
57.<br />
5 in.<br />
10 in.<br />
Not drawn to scale
Find the volume of the square pyramid shown. Round to the nearest tenth as necessary.<br />
58.<br />
12 cm<br />
18 cm<br />
18 cm<br />
Not drawn to scale<br />
Find the volume of the cone shown as a decimal rounded to the nearest tenth.<br />
59.<br />
14 yd<br />
6 yd<br />
Not drawn to scale<br />
Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.<br />
60.<br />
15 cm
61. An architect designed a circular fountain surrounded by four smaller circular fountains as shown in<br />
the figure. If the diameter of the inner fountain is 12 feet and each of the four surrounding<br />
fountains has a diameter of 6 feet, which area is greater, the area of the center fountain or the<br />
combined area of the four surrounding fountains
62. Nick marks the positions of four of the most popular tourist attractions in his city on a map. He<br />
finds that the four attractions are located at the vertices of a quadrilateral ABCD. He connects the<br />
four points and finds that<br />
Find the measure of the angle<br />
between the short sides and the angle between the long sides to the nearest degree.<br />
A<br />
B<br />
D<br />
C
Essay<br />
63. A large model of a pencil was constructed for an art show. It consists of two parts: a cone for the<br />
top and a right cylinder for the base, as shown below.<br />
6 in.<br />
4 in.<br />
12 in.<br />
6 in.<br />
a. What is the surface area of the cone to the nearest square inch Use 3.14 for .<br />
b. What is the surface area of the cylinder to the nearest square inch Use 3.14 for .<br />
c. What is the surface area of the pencil once it is assembled Round to the nearest square inch.<br />
Use 3.14 for .