Download MTH 232 Practice Test Problems (7.1-7.3, 10.1-10.5).tst

Practice Test Problems (Sections 10.1-10.5)
Name___________________________________
10)
Use the following figure to verify if statement is true or false.
A) Simple closed curve
B) Simple curve
C) Closed curve
D) None of the above
11)
1) AB and GF are skew lines.
A) Simple polygon
C) Closed polygon
2) AB and CG are intersecting lines.
3) AK and EK are perpendicular to the plane BEF.
B) Convex polygon
D) All of the above
12)
4) AD and BC are coplanar lines.
Refer to this figure to answer the question.
A) Simple convex polygon
B) Nonconvex polygon
C) Nonsimple polygon
D) Convex polygon
13)
A) Simple closed curve
B) Closed curve
C) Simple curve
D) None of the above
5) What are the endpoints of HI ?
6) What are the endpoints on DE ?
Decide whether the figure is convex or not convex.
14)
7) Are HD and HA the same line?
8) What is the vertex of ∠DEI?
Describe the figure.
9)
15)
A) Simple nonconvex polygon
B) Nonsimple closed curve
C) Simple polygon
D) Simple closed curve
1
22)
Classify the triangle as equilateral, isosceles, or scalene.
Then classify it as right, obtuse, or acute.
16)
10
8
4
23)
17)
6
5
3
Find the requested angle.
24) Complement of 3°
18)
15
15
25) Supplement of 68.5°
26) Supplement of 129°
15
27
19)
19
1
27) Complement of 41 °
2
19
Decide whether or not the network is traversable.
28)
Classify the polygon by name.
20)
29)
21)
30)
2
31)
35)
Give an appropriate answer.
32) Use the following graph to find a traversable path
that begins with vertex A.
36)
A) A → C → D → A → B → D
B) No traversable path exists.
C) B → A → D → C
D) A → B → D → C
33) Use the following graph to find a traversable path
that begins with vertex B.
Give the appropriate answer.
37) What is the name for the point where the three
medians are concurrent?
38) Can a triangle be both obtuse and scalene?
39) Decide whether the statement is true or false. Two
lines in the same plane are called skew.
A) B → A → C → D
B) B → A → D → C
C) B → A → D → C → A → B
D) No traversable path exists.
40) Decide whether the statement is true or false. The
three angles of a triangle are always
supplementary.
Given the floor plan, determine whether a person could
traverse through each unit by passing through each door
only once.
34)
41) Decide whether the statement is true or false. In
every triangle, the centroid, orthocenter, and
circumcenter are collinear.
3
46) Identify all pairs of alternate interior angles.
Refer to the figure and provide an appropriate name for the
indicated angles.
42) ∠6 and ∠7
A) Right angle
B) Alternate interior angles
C) Supplementary angles
D) Complementary angles
Refer to this figure to answer the question. Line DH is
parallel to line IM. Line BO is perpendicular to line DH.
43) ∠3 and ∠7
A) Alternate exterior angles
B) Alternate interior angles
C) Supplementary angles
D) Complementary angles
Identify the specified angles.
44) Identify all pairs of corresponding angles.
47) m∠IJN is 59°. What is the measure of ∠DEA?
48) m∠IJN is 54°. What is the measure of ∠DEJ?
49) Are ∠MLG and ∠FGC supplementary?
50) Choose the true statement.
Use the properties of parallel lines to solve the problem.
51) If p  q and m∠8 = 59°, what are the measures of
the other angles?
45) Identify all pairs of alternate interior angles.
4
56) Find the measure of the indicated exterior angle.
52) In the figure, AB  CD . Identify all pairs of
congruent angles.
∠x = (198 - 5n)°, ∠y = (6n + 8)°, ∠z = (n + 10)°
57) What is the angle sum of a regular polygon with 4
sides?
58) What is the angle sum of a regular polygon with
10 sides?
59) If each angle of a regular polygon measures 108°,
how many sides does it have?
53) In the figure, BC  DE . Identify any pairs of
congruent angles.
60) If each angle of a regular polygon measures 150°,
how many sides does it have?
Answer the question.
61) What is the measure of the central angle of a
regular polygon with 16 sides?
62) How many triangles are formed in a polygon
with 15 sides?
Answer the question. Figures not drawn to scale.
63) Find the measure of ∠P
54) In the figure, GH  DE . Identify any pairs of
congruent angles.
60°
140°
64) Find the measure of ∠P
200°
Solve the problem.
55) Find the measure of the indicated exterior angle.
∠x = (5n - 17)°, ∠y = (n + 9)°, ∠z = (157 - 5n)°
5
70°
65) Find the measure of ∠P
70)
12
260°
8
8
100°
12
71)
66) Find the measure of ∠P
50°
Find the missing length in the right triangle. If necessary,
round to the nearest tenth.
72)
5 cm
Which property (if any), should be used to show that the pair
of triangles is congruent?
67)
12
5
8 cm
73)
5
13 cm
9 cm
7
12
74)
7
18 in.
68)
20 in.
75)
10 mi
5 mi
Find d in simplest radical form.
76)
69)
3
3
6
77)
Find d in simplest radical form.
82)
2
2
2
Cube
7
Solve the problem. Give the answer to the nearest
thousandth if necessary.
78) A long-distance runner runs 3 miles south and
then 9 miles east. How far is the runner from the
starting point?
83)
South
↓
3 mi
12
East --9 mi-->
79) A boat travels 4 miles south and then 8 miles east.
How far is the boat from its starting point?
84)
7 2
South
↓
4 mi
East --8 mi-->
80) A painter leans a ladder against one wall of a
house (as shown below). The ladder is 29 ft long.
The base of the ladder is 23 ft from the house.
How high is the wall?
85)
2 2
29 ft
?
23 ft
81) The length of a rectangle is 72 meters, and the
width is 21 meters. Find the measure of the
diagonal of the rectangle.
72 meters
Find the measures of the indicated sides, angles, or diagonals
of the given parallelogram.
86) Find the measures of the angles of the
parallelogram when m∠D = 61°.
21 meters
7
87) Two side lengths of a parallelogram are given.
Find the lengths of the other sides of the
parallelogram.
92) Choose the word ʺrectangle,ʺ ʺsquare,ʺ or
ʺrhombus,ʺ that could be used in the blank to
make the statement true. If none of the words
can be used, write ʺnone.ʺ
A parallelogram is a ___ if and only if
its diagonals are congruent.
19
10
93) Choose the word ʺrectangle,ʺ ʺsquare,ʺ or
ʺrhombus,ʺ that could be used in the blank to
make the statement true. If none of the words
can be used, write ʺnone.ʺ
A parallelogram is a ___ if and only if
it has at least one right angle and four congruent si
.
88) One side length of a parallelogram is given. The
perimeter of ▱HIJK is 75. Find the lengths of the
other sides of the parallelogram.
15
94) Choose the word ʺrectangle,ʺ ʺsquare,ʺ or
ʺrhombus,ʺ that could be used in the blank to
make the statement true. If none of the words
can be used, write ʺnone.ʺ
A parallelogram is a ___ if and only if
it has four congruent sides,its diagonals bisect the a
.
1
2
95) Choose the word ʺrectangle,ʺ ʺsquare,ʺ or
ʺrhombus,ʺ that could be used in the blank to
make the statement true. If none of the words
can be used, write ʺnone.ʺ
A parallelogram is a ___ if and only if
it has exactly one pair of parallel side.
96) Choose the word ʺkite,ʺ ʺtrapezoid,ʺ or
ʺparallelogram,ʺ that could be used in the blank to
make the statement true. If none of the words
can be used, write ʺnone.ʺ
A quadrilateral is a ___ if and only if one pair of
opposite sides are parallel.
89) PM = 32 and LP = 46. Find the length of each
diagonal.
97) Choose the word ʺkite,ʺ ʺtrapezoid,ʺ or
ʺparallelogramʺ that could be used in the blank to
make the statement true. If none of the words
can be used, write ʺnone.ʺ
A quadrilateral is a ___ if and only if
a pair of adjacent angles are congruent.
Answer the question.
90) What type of figure is formed by joining the
midpoints of the sides of a kite?
98) Does the following condition ensure that a
quadrilateral is a parallelogram?
One pair of opposite sides are both parallel and con
.
91) Choose the word ʺparallelogram,ʺ ʺrectangle,ʺ
ʺsquare,ʺ or ʺrhombusʺ that could be used in the
blank to make the statement true. If none of the
words can be used, write ʺnone.ʺ
A quadrilateral is a ___ if and only if all of its
diagonals bisect its angles.
99) Does the following condition ensure that a
quadrilateral is a parallelogram?
One pair of opposite sides are congruent.
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Answer Key
Testname: MTH 232 PRACTICE TEST PROBLEMS (7.1‐7.3, 10.1‐10.5)
1) TRUE
2) FALSE
3) FALSE
4) TRUE
5) H
6) None
7) Yes
8) E
9) D
10) C
11) D
12) B
13) D
14) Not convex
15) Convex
16) Scalene; obtuse
17) Scalene; acute
18) Equilateral; acute
19) Isosceles; obtuse
20) quadrilateral
21) heptagon
22) octagon
23) decagon
24) 87°
25) 111.5°
26) 51°
1
27) 48 °
2
28) Traversable
29) Traversable
30) Not traversable
31) Traversable
32) A
33) D
34) No
35) No
36) Yes
37) centroid
38) yes
39) False
40) False
41) True
42) D
43) B
44) ∠1 and∠5, ∠2 and∠6,
∠4 and∠8, ∠3 and∠7
45) ∠4 and∠6, ∠3 and∠5
46) ∠2 and∠6, ∠3 and∠7
47) 121°
48) 54°
49) Yes
50) ∠FGL and ∠GLK are
supplementary.
51) m∠2 = m∠4 = m∠6 =
59°, m∠1 = m∠3 = m∠5
= m∠7 = 121°
52) ∠ABE and ∠FCD ,
∠ABC and ∠BCD
53) ∠ABC and ∠ADE,
∠ACB and ∠AED
54) ∠EDF ≅ ∠GHF,
∠DFE ≅ ∠HFG, ∠DEF
≅ ∠FGH, ∠DFG ≅
∠EFH
55) 82°
56) 123°
57) 360°
58) 1440°
59) 5 sides
60) 12 sides
61) 22.5°
62) 13
63) 100°
64) 65°
65) 80°
66) 50°
67) SSS
68) SAS
69) None
70) SAS
71) HA
72) 9.4 cm
73) 9.4 cm
74) 26.9 in.
75) 8.7 mi
76) 3 2
77) 2 3
78) 9.487 mi
79) 8.944 mi
80) 17.664 ft
81) 75 meters
82) 14
83) 6 3
84) 14
2 3
85)
3
92) rectangle
93) square
94) rhombus
95) none
96) trapezoid
97) none
98) Yes
99) No
86) m∠F = 61°, m∠G = m
∠E = 119°
87) PS = 10, SR = 19
1
88) HK = 15 , HI = JK =
2
22
89) LN = 92, MO = 64
90) rectangle
91) rhombus
9