Geometry
Name___________________________________ ID: 1
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Semester 1 Final Review
Date________________ Period____
Find the midpoint of the line segment with the given endpoints.
1) (-2, 5), (-5, -3)
2) (-5, -5), (1, 5)
Find the other endpoint of the line segment with the given endpoint and midpoint.
3) Endpoint: (-8, -10), midpoint: (3, 10)
4) Endpoint: (10, -7), midpoint: (-3, -9)
Find the distance between each pair of points.
5) (3, 6), (6, 3)
6) (7, 2), (-6, 2)
7) mÐFKL = 5 x + 13, mÐJKL = 21 x + 11,
and mÐJKF = 110°. Find mÐFKL.
8) mÐRQP = 117°, mÐRQD = 100 + x,
and mÐDQP = 39 + x. Find mÐDQP.
J
D
K
F
P
Q
R
L
Find the measure of angle b.
9)
10)
230°
50°
b
b
32°
296°
Solve for x.
11)
12)
x + 91
21 x + 2
80°
22 x - 2
Worksheet by Kuta Software LLC
-1-
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13)
14)
11 x + 5
16 x - 2
110°
12 x - 5
Classify each angle as acute, obtuse, right, or straight.
15)
16)
Solve for x.
17)
18)
9x + 9
10 x + 3
18 x + 9
77°
Find the measure of angle b.
19)
20)
56°
104°
b
b
Solve for x.
21)
22)
50°
10 x
x + 57
11 x - 12
Worksheet by Kuta Software LLC
-2-
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Find the measure of angle b.
23)
24)
b
33°
b
45°
Find the value of x.
25)
26)
71°
77°
(6x + 5)°
(3x + 2)°
Write the slope-intercept form of the equation of each line.
27)
28)
4
4
2
2
-5 -4 -3 -2 -1 0
1 2 3 4 5
-5 -4 -3 -2 -1 0
-2
-2
-4
-4
1 2 3 4 5
Find the slope of the line through each pair of points.
29) (-10, 14), (14, -18)
30) (-6, -7), (-18, -1)
Write the standard form of the equation of the line described.
31) through: (-1, 2), parallel to y = -7 x + 5
32) through: (-2, -4), parallel to y = 4 x - 5
Worksheet by Kuta Software LLC
-3-
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33) through: (5, 0), perp. to y = -2 x + 4
34) through: (5, -5), perp. to x = 0
Sketch the graph of each line.
35) 5 x + 2 y = 2
36) 7 x - y = -4
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1 0
6
5
4
3
2
1
1 2 3 4 5 6
-6 -5 -4 -3 -2 -1 0
-2
-3
-4
-5
-6
1 2 3 4 5 6
-2
-3
-4
-5
-6
State if the two triangles are congruent. If they are, state how you know.
37)
38)
39)
40)
Worksheet by Kuta Software LLC
-4-
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Solve for x.
41)
42)
52°
x + 57
83°
68°
64°
1 + 4x
Find the value of x.
43) mÐ2 = x + 40
44) mÐ2 = 5 x + 10
2 120°
2
60°
Solve each proportion.
45)
r+1
12
=
r+3
46) -
5
5
10
=
m+2 m+7
State if the triangles in each pair are similar. If so, state how you know they are similar and
complete the similarity statement.
47)
48)
R
R
27
14
L
30
M
12
18
12
T
Q
S
DRST ~ ______
7
P
98
H
G
49
84
F
DFGH ~ ______
Worksheet by Kuta Software LLC
-5-
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Find the missing length indicated.
49)
50)
15
6
35
?
?
14
15
18
Each figure shows a triangle with one or more of its medians.
51) Find x if GD =
7x - 3
x+7
and PD =
10
10
G
C
C
R
T
P
F
3x + 1
1
1
and XT = x +
10
10 4
52) Find x if DX =
X
E
D
D
B
State if the three numbers can be the measures of the sides of a triangle.
53) 11, 21, 9
54) 11, 8, 6
Two sides of a triangle have the following measures. Find the range of possible measures for the
third side.
55) 6, 7
56) 9, 11
Find the area of each triangle. Round intermediate values to the nearest tenth. Use the rounded
values to calculate the next value. Round your final answer to the nearest tenth.
57)
58)
7
7
6.2
7
9
4
Worksheet by Kuta Software LLC
-6-
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Find the missing length indicated.
59)
60)
8
15
4
?
20
2
6
?
61)
62)
9
16
15
6
?
20
?
9
Solve for x.
63)
64)
Z
Q
T 80°
3x + 9
6x - 1
V
2x + 9
U
2 x + 13
R
82° S
F
The polygons in each pair are similar. Find the missing side length.
65)
66)
15
?
20
21
21
25
14
18
14
?
Find the missing side of each triangle. Leave your answers in simplest radical form.
67)
68)
x
10 in
x
17 ft
2 3 in
6 ft
Worksheet by Kuta Software LLC
-7-
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State if each triangle is a right triangle.
69)
70)
3 7 km
6 km
23 in
2 3 in
12 km
11 in
Find the area of each.
71)
72)
4.4 mi
6 mi
3.1 m
4.9 m
73)
74)
11 yd
12 ft
5.4 yd
6 ft
Find the perimeter and area of each.
75)
76)
2m
1m
9.7 ft
5 ft
77)
78)
8 yd
7 ft
8 yd
9 ft
Worksheet by Kuta Software LLC
-8-
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Geometry
Name___________________________________ ID: 1
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Semester 1 Final Review
Date________________ Period____
Find the midpoint of the line segment with the given endpoints.
1) (-2, 5), (-5, -3)
2) (-5, -5), (1, 5)
(-3.5, 1)
(-2, 0)
Find the other endpoint of the line segment with the given endpoint and midpoint.
3) Endpoint: (-8, -10), midpoint: (3, 10)
4) Endpoint: (10, -7), midpoint: (-3, -9)
(14, 30)
(-16, -11)
Find the distance between each pair of points.
5) (3, 6), (6, 3)
6) (7, 2), (-6, 2)
13
3 2
7) mÐFKL = 5 x + 13, mÐJKL = 21 x + 11,
and mÐJKF = 110°. Find mÐFKL.
8) mÐRQP = 117°, mÐRQD = 100 + x,
and mÐDQP = 39 + x. Find mÐDQP.
J
D
K
F
P
Q
R
L
28°
48°
Find the measure of angle b.
9)
10)
230°
50°
b
b
32°
296°
32°
80°
Solve for x.
11)
12)
x + 91
21 x + 2
80°
22 x - 2
-11
4
Worksheet by Kuta Software LLC
-1-
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13)
14)
11 x + 5
16 x - 2
110°
12 x - 5
10
7
Classify each angle as acute, obtuse, right, or straight.
15)
16)
obtuse
right
Solve for x.
17)
18)
9x + 9
10 x + 3
18 x + 9
77°
6
10
Find the measure of angle b.
19)
20)
56°
104°
b
b
56°
104°
Solve for x.
21)
22)
50°
10 x
x + 57
11 x - 12
-7
12
-2-
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Worksheet by Kuta Software LLC
Find the measure of angle b.
23)
24)
b
33°
b
45°
147°
135°
Find the value of x.
25)
26)
71°
77°
(6x + 5)°
(3x + 2)°
11
25
Write the slope-intercept form of the equation of each line.
1
3
27)
28)
y=- x+1
4
4
2
2
-5 -4 -3 -2 -1 0
1 2 3 4 5
-5 -4 -3 -2 -1 0
-2
-2
-4
-4
1 2 3 4 5
y = 2x - 1
Find the slope of the line through each pair of points.
29) (-10, 14), (14, -18) -
4
3
30) (-6, -7), (-18, -1) -
1
2
Write the standard form of the equation of the line described.
31) through: (-1, 2), parallel to y = -7 x + 5
7 x + y = -5
32) through: (-2, -4), parallel to y = 4 x - 5
4 x - y = -4
Worksheet by Kuta Software LLC
-3-
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33) through: (5, 0), perp. to y = -2 x + 4
34) through: (5, -5), perp. to x = 0
x - 2y = 5
y = -5
Sketch the graph of each line.
35) 5 x + 2 y = 2
36) 7 x - y = -4
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1 0
6
5
4
3
2
1
1 2 3 4 5 6
-6 -5 -4 -3 -2 -1 0
-2
-3
-4
-5
-6
1 2 3 4 5 6
-2
-3
-4
-5
-6
State if the two triangles are congruent. If they are, state how you know.
37)
38)
ASA
Not congruent
39)
40)
Not congruent
Not congruent
Worksheet by Kuta Software LLC
-4-
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Solve for x.
41)
42)
52°
x + 57
83°
68°
64°
1 + 4x
11
-9
Find the value of x.
43) mÐ2 = x + 40
44) mÐ2 = 5 x + 10
2 120°
2
-10
60°
10
Solve each proportion.
45)
r+1
12
=
r+3
46) -
5
{-4.42}
5
10
=
m+2 m+7
{-3.66}
State if the triangles in each pair are similar. If so, state how you know they are similar and
complete the similarity statement.
47)
48)
R
R
27
14
L
30
M
12
18
12
T
Q
S
DRST ~ ______
7
P
98
H
G
similar; SAS similarity; DRLM
49
84
F
DFGH ~ ______
similar; SSS similarity; DPQR
Worksheet by Kuta Software LLC
-5-
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Find the missing length indicated.
49)
50)
15
6
35
?
?
14
10
15
18
42
Each figure shows a triangle with one or more of its medians.
51) Find x if GD =
7x - 3
x+7
and PD =
10
10
G
C
C
R
T
P
F
3x + 1
1
1
and XT = x +
10
10 4
52) Find x if DX =
X
E
D
D
B
6
4
State if the three numbers can be the measures of the sides of a triangle.
53) 11, 21, 9
No
54) 11, 8, 6
Yes
Two sides of a triangle have the following measures. Find the range of possible measures for the
third side.
55) 6, 7
56) 9, 11
1 < x < 13
2 < x < 20
Find the area of each triangle. Round intermediate values to the nearest tenth. Use the rounded
values to calculate the next value. Round your final answer to the nearest tenth.
57)
58)
7
7
6.2
7
9
19.8
4
33.9
-6-
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Worksheet by Kuta Software LLC
Find the missing length indicated.
59)
60)
8
15
4
?
20
2
4
6
?
8
61)
62)
9
16
15
6
?
20
12
?
9
15
Solve for x.
63)
64)
Z
Q
T 80°
3x + 9
6x - 1
V
2x + 9
U
2 x + 13
R
9
82° S
F
12
The polygons in each pair are similar. Find the missing side length.
65)
66)
15
?
20
21
14
18
21
25
14
?
12
12
Find the missing side of each triangle. Leave your answers in simplest radical form.
67)
68)
x
10 in
x
17 ft
2 3 in
6 ft
2 in
53 ft
Worksheet by Kuta Software LLC
-7-
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State if each triangle is a right triangle.
69)
70)
3 7 km
6 km
23 in
2 3 in
12 km
No
11 in
Yes
Find the area of each.
71)
72)
4.4 mi
6 mi
3.1 m
4.9 m
13.2 mi²
7.595 m²
73)
74)
11 yd
12 ft
5.4 yd
6 ft
29.7 yd²
36 ft²
Find the perimeter and area of each.
75)
76)
2m
1m
9.7 ft
2 m²
5 ft
48.5 ft²
77)
78)
8 yd
7 ft
8 yd
9 ft
63 ft²
64 yd²
Worksheet by Kuta Software LLC
-8-
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