9
26
midsegment
4
10
D
B
!C
7
1
False
61. DC , AC , AD , line n
62. DC
C , AC , AD , line n
61.
True
63. C5
62. C
62.
D
64. 51
63. 5
63.
Substitution
of Equality
65. 1D, F, G or A, K, G
64.Property
1
64.
66. D,
any
the same plane
Multiplication
property
of A,
equality
65. D,
F, G or
K, G
65.
F, 4Gpoints
or A, on
K, G
67. any
plane
CAG, on
plane
any 4 of
points
on the same plane 66.
Symmetric66.
Property
Equality
4 points
theABD
same plane
68. plane
32.5 CAG,
mm plane ABD
Isosceles 67. plane CAG, plane ABD
67.
69. 32.5
9 mm
68. 32.5 mm
51
68.
70. 910
69. 9
14°
69.
71. 10
72
70. 90.5°
10
68.4°, 21.1°,
70.
72. 72
140
72c = 90°; d = 62°; e = 10.7 ft 71.
a = 5 ft; b71.
= 28°;
73. 140
m!1 = 47, m!2 = 74, m!3 = 69
72. 140
72.
"WXZ # "WYZ;
SSS
73. m!1 = 47, m!2 = 74, m!3 = 6973.
74. m!1
m!1==47,
77,m!2
m!2==74,
36,m!3
m!3==69
30
AC # CE
74. m!1 = 77, m!2 = 36, m!3 = 3074. m!1 = 77, m!2 = 36, m!3 = 30
Yes; "TUV # "WXV by SAS Congruence
!
75. m!K = 63°
SAS
!
76. "ABC # "JKL,2HL
AAS
!
77. [1] AC = 3AE + AE, AB = 3AD + AD
AAS
[2] Transitive Property of Equality
ASA
[3] Reflexive Property of Congruence
!
2
2
1
False
61. DC , AC , AD , line n
62. DC
C , AC , AD , line n
61.
True
63. C5
62. C
62.
D
64. 51
63. 5
63.
Substitution
of Equality
65. 1D, F, G or A, K, G
64.Property
1
64.
66. D,
any
the same plane
Multiplication
property
of A,
equality
65. D,
F, G or
K, G
65.
F, 4Gpoints
or A, on
K, G
67. any
plane
CAG, on
plane
any 4 of
points
on the same plane 66.
Symmetric66.
Property
Equality
4 points
theABD
same plane
68. plane
32.5 CAG,
mm plane ABD
Isosceles 67. plane CAG, plane ABD
67.
69. 32.5
9 mm
68. 32.5 mm
51
68.
70. 910
69. 9
14°
69.
71. 10
72
70. 90.5°
10
68.4°, 21.1°,
70.
72. 72
140
72c = 90°; d = 62°; e = 10.7 ft 71.
a = 5 ft; b71.
= 28°;
73. 140
m!1 = 47, m!2 = 74, m!3 = 69
72. 140
72.
"WXZ # "WYZ;
SSS
73. m!1 = 47, ID:
m!2
74. m!1
m!1==47,
77,m!2
m!2==74,
36,m!3
m!3==69
30
A = 74, m!3 = 6973.
AC # CE
74. m!1 = 77, m!2 = 36, m!3 = 3074. m!1 = 77, m!2 = 36, m!3 = 30
Yes; "TUV # "WXV by SAS Congruence
!
75. m!K = 63°
SAS
!
76. "ABC # "JKL,2HL
AAS
!
77. [1] AC = 3AE + AE, AB = 3AD + AD
AAS
[2] Transitive Property of Equality
ASA
[3] Reflexive Property of Congruence
9
26
midsegment
4
10
D
B
!C
7
43. 6
36.
37.
38.
39.
40.
41.
42.
30.
31.
32.
33.
ID: A34.
35.
!
2
2
ID:
ID: A
ID: A
36. midsegment
36. midsegment
36. midsegment
36. midsegment
ID: A
ID: A
37. 4
37. 4
36. midsegment
36. midsegment
37. 4
37. 4
38.
10
38. 10
37. 4
37. 4
38. 10
38.
10
39. D
39. D
38. 10
38. 10
39. D
39. D
Geometry Midterm
Study
Guide
Geometry
Midterm
Study
Guide
40.
B
40. B
39. D
39. D
40. B
40. B
Answer Section
Answer Section
41. !C
41. !C
40. B
40. B
41. !C
41.
!C
42. 7
42. 7
41. !C
41. !C
42. 7
42.
7
9
9
1.
1.
!
!
42.
42.
43. 76
43. 76
9
9
26
26
!
!
43. 6
43. 6
9
9
26
26
43.
43.
!
!
44. 624.9
44. 624.9
26
26
44. 24.9
44. 24.9
!
!
45. D
45. D
44. 24.9
44. 24.9
!
!
45. D
45. D
46. 18 ft
46. 18 ft
45. D
45. D
2.
2.
!
!
46. 18 ft
46. 18 ft
47. 15.6 cm
47. 15.6 cm
46. 18 ft
46. 18 ft
!
!
47. 15.6 cm
47. 15.6 cm
48. Similar; "ABC # "DEF
48. Similar; "ABC # "DEF
47. 15.6 cm
47. 15.6 cm
!
!
48. Similar; "ABC # "DEF
48. Similar; "ABC # "DEF
49. 60
49. 60
48.
Similar;
"ABC
#
"DEF
48.
Similar;
"ABC
#
"DEF
!
!
49. 60
49. 60
50.
50.
49.
60 218 ft
49.
60 218 ft
!
!
Answers will
P, V,ftand R
3. Answers will
P, V,ftand R
50. vary.218
50. vary.218
2
2
2
2
2
2
!
!
51. e 218
= f ft+ g
51. e 218
= f ft+ g
50.
50.
2
2
2
2
2
2
D
4.
D
51. e = f + g
51. e = f + g
!
!
2
2
2
2
2
2
52. 9.592
52. 9.592
51.
e
=
f
+
g
51.
e
=
f
+
g
47°
5. 47°
!
!
52. 9.592
52. 9.592
53.
65
53.
65
52.
9.592
52.
9.592
m!JHI = 19° and m!GHI = 46°
6. m!JHI = 19° and m!GHI = 46°
!
!
53.
65
53.
65
54.
a.
right
54.
a.
right
53.
65
53.
65
!C , !DCE , !ECD
7. !C , !DCE , !ECD
!
!
54. a. right
54. a. right
b. no
b. no
!
!
54. a. right
54. a. right
7, 120°
8. 7, 120°
b.
no
b.
no
c.
obtuse
c.
obtuse
!
!
b. no
b. no
obtuse
9. obtuse
c. obtuse
c. obtuse
d. acute
d. acute
c. obtuse
c. obtuse
!
!
%
&
&
$
%
&
&
$
m!S = 55°
10.
m!S
=
55°
d. acute
d. acute
acute
acute
!
!
55. d.DB
, line m
55. d.DB
, line m
m!G = 113° %&&$
11. m!G = 113° %&&$
%&
&
$
%&
&
$
55. DB , line m
55.
DB
,
line
m
!
!
56. DB
H , line m
56. DB
H , line m
55.
55.
x=3
12. x = 3
!
!
56. H
56. H
57.
plsne(any
3
uppercase
letters
in
plane,
except
K,
and
ADC
or
BDJ),
or
plane
K
57.
plsne(any
3
uppercase
letters
in
plane,
except
K, and ADC o
56.
H
56.
H
107°
13.
107°
&
&
$
%
&
&
$
%
&
&
$
&
&
$
%
&
&
$
%
&
&
$
57. plsne(any 3 uppercase letters in plane, %
except
K, and
ADC or BDJ), or plane K !
57. plsne(any 3 uppercase letters in plane, %
except
K, and
ADC orletters
BDJ),inor
planeexcept
K ! K, and ADC or
57.
letters
in
plane,
except
K,
and
ADC
or
BDJ),
or
plane
57.
plsne(any
plane,
58. plsne(any
DC , AC , 3oruppercase
AD
58.
DC , AC , 3oruppercase
AD
!1 and !3 or !2
14. !1
and !3K or !2
%&
&
$ and
%&
&
$!4 %&
&
$
%&
&
$ and
%&
&
$!4 %&
&
$
%&
&
$ %&
&
$
%&
&
$
%&
&
$ %&
&
$
%&
&
$
DC , AC ,then
or AD
DC , AC ,then
or AD
59. DC
D , AC , or AD
59. DC
D , AC , or AD
If a figure 58.
is a triangle,
it has three sides. 58.
15. If a figure 58.
is a triangle,
it has three sides. 58.
59. D
59. D
60. Yes, it intersects both m and n when all three are extended. 16. the hypothesis
60. Yes, it intersects both m and n when all three are extended.
the hypothesis
59.
D
59.
D
%&
&
$ %&
&
$ %&
&
$
%&
&
$ %&
&
$ %&
&
$
60. Yes, it intersects both m and n when
three
are
extended.
60. Yes, it intersects both m and n when
three
are
extended.
The conclusion
60.
Yes,
intersects
both
60.
Yes,
intersects
both
61. all
DC
,itAC
, AD
, line
n m and n when all three are extended. 17. The conclusion
61. all
DC
,itAC
, AD
, line
n m and n when all three are extended.
%&
&
$ %&
&
$ %&
&
$
%&
&
$ %&
&
$ %&
&
$
%&
&
$ %&
&
$ %&
&
$
%&
&
$ %&
&
$ %&
&
$
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
41.
42.
43. 6