Download Geometry Post Course Test

Name _________________________________________________________ Date _________
Post
Course
Post Course Test
Find the length of ST .
1. S
27
Answers
58
M
2.
T
47
S
1.
19
T
M 15 O
3. J ( − 3, 7) and K ( 4, − 2) are endpoints of a line segment. Find the coordinates
of the midpoint M. Find the distance between the endpoints of JK .
4. The midpoint of JK is M ( 2, 5). One endpoint is J ( − 4, 2). Find the
coordinates of endpoint K. Find the distance between the endpoints of JK .
Use the diagram to decide whether the statement is true or false.
m
6. Plane S and plane T intersect at line m.
7. Points A, B, and C lie on plane T.
A
4.
6.
7.
G


8. CG and FE are opposite rays.
T
F
C
B
9. Point C lies on plane S and plane T.
3.
5.
5. Points G, C, and H are collinear.
S
2.
8.
9.
10.
H
10. Plane S is perpendicular to plane T.
D
E
11.
12.
Solve the equation.
12. 5(3 x + 2) = − 6 x − 11
11. 9 x − 16 = 7 x + 12
13.
Find the value of x or y. State which theorems or postulates you used.
13.
14.
x°
(7y − 10)°
14.
(9y + 46)°
Find the value of x that makes m  n.
15.
15.
113°
x°
16.
m
n
n
m
16.
47°
(2x − 7)°
17. a.
b.
Write an equation of the line that passes through the given point and is
(a) parallel to and (b) perpendicular to the given line.
17.
(− 2, −1),
y = − 3x + 2
178 Geometry
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18.
(− 3, 1), x
= 0
18. a.
b.
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Name_________________________________________________________
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Post Course Test (continued)
MEG
Graph triangle
with vertices M (1, 1), E (5, 3), and G(3, 5) and its image Answers
after the translation.
19.
( x, y )
6
Date __________
→ ( x − 1, y − 2)
20.
( x, y )
y
2
2
4
2
−2
4
2
6
8x
20.
See left.
21.
See left.
22.
See left.
23.
−2
6x
See left.
y
4
4
→ ( x + 3, y − 6)
19.
−4
−2
Graph the polygon with the given vertices and its image after a rotation of the
given number of degrees about the origin.
21. M ( − 4, 4), L( − 5, 1), K ( − 2, 2);
22. M (0, 0), E ( − 2, − 2), T ( −1, 4),
24.
S ( 2, − 3); 270°
180°
4
y
4
2
−4
−2
y
2
2
4
−4
x
25.
−2
2
−2
−2
−4
−4
4x
26.
Find the measure of each angle.
23.
24.
A
F
2x °
2x °
E
(4x − 12)° (x + 17)°
D
C
TU is a midsegment of
25.
QRS.
Find the value of x.
S
46°
T
32
T
D
B
26. R
R
x°
U
x°
x
Q
U
S
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Q
Geometry
Assessment Book
179
Name _________________________________________________________ Date _________
Post
Course
Post Course Test (continued)
Find AC. Identify the theorem you used.
27.
Answers
B
28.
C
A
D
4x + 9
D
2x + 16
7x − 18
A
27.
B
28.
C
4x − 12
Find the value of each variable in the parallelogram.
29.
y°
3x °
7
5.8
30.
w
108°
29.
3
3
6
30.
5.8
z
Give the most specific name for the quadrilateral. Explain your reasoning.
31.
31.
32.
Determine whether the triangles are similar. If they are, write a similarity
statement.
33.
32.
B
3
D
12
A
10
F
33.
1
75
E
C
6
6
35
34.
35.
Find the value of the variable
34.
35.
9
36.
12
37.
x
x
4
4
9
Find the value of each variable. Round your answers to the nearest tenth.
36.
9
b
37.
c
7.7
67°
56°
a
180 Geometry
Assessment Book
d
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Solve
Post Course Test (continued)
ABC.
Round decimal answers to the nearest tenth.
A
38.
15
Answers
B
39.
118°
18 m
12
B
38.
17 m
C
A
C
39.
Find the value of the variable or the measure of the numbered angle in  P.
40.
37°
41.
42.
P
(33x + 3)°
1
204°
43.
44.
Find the value of the variable.
42.
43.
x
45.
9
2
2x + 1
46.
4
2x
47.
6
48.
Find the volume of the solid.
4 mi
44.
49.
45.
50.
14 mi
8 mi
6 mi
46. m 
AB
8 mi
10 mi
Find the indicated measure.
A
40.
41.
P
4
Date __________
47. Area of shaded sector
27.5 ft
C 15 ft
B
10 m
210°
48. P( A) = 0.3, P( B) = 0.5, and P ( A and B) = 0.15. What is P( A or B)?
49. How many different 5-card hands are possible from a deck of 52 playing
cards?
50. A trial drug is 45% effective at fighting a disease. If five people use the drug,
what is the probability that the drug will be effective for exactly three of them?
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Geometry
Assessment Book
181
Post
Course
Post Course Test Item Analysis
Item
Number
Skills
1
finding segment lengths
2
finding segment lengths
3
using Midpoint Formula
and Distance Formula
4
using Midpoint Formula
and Distance Formula
5
properties of lines and
points in planes
6
properties of lines and
points in planes
7
properties of lines and
points in planes
8
properties of lines and
points in planes
9
properties of lines and
points in planes
10
properties of lines and
points in planes
11
solving equations
12
solving equations
13
working with parallel lines
14
working with parallel lines
15
working with parallel lines
16
working with parallel lines
17
writing equations of lines
18
writing equations of lines
19
transforming polygons
20
transforming polygons
21
transforming polygons
22
transforming polygons
23
properties of triangles
24
properties of triangles
25
properties of triangles
182 Geometry
Assessment Book
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Post
Course
Item
Number
Post Course Test Item Analysis (continued)
Skills
26
properties of triangles
27
properties of triangles
28
properties of triangles
29
properties of
parallelograms
30
properties of
parallelograms
31
properties of
parallelograms
32
properties of
parallelograms
33
similar triangles
34
similar triangles
35
similar triangles
36
solving right triangles
37
solving right triangles
38
solving triangles
39
solving triangles
40
properties of circles
41
properties of circles
42
properties of circles
43
properties of circles
44
finding volume of a solid
45
finding volume of a solid
46
finding arc length
47
finding sector area
48
calculating probability
49
counting combinations
50
computing probabilities
using binomial
distributions
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Geometry
Assessment Book
183