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Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry Name___________________________________
Period____Date________________
The Distance Formula
Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.
1)
x
y
−4 −2 2 4
−4
−2
2
4
2)
x
y
−4 −2 2 4
−4
−2
2
4
3)
x
y
−4 −2 2 4
−4
−2
2
4
4)
x
y
−4 −2 2 4
−4
−2
2
4
5)
x
y
−4 −2 2 4
−4
−2
2
4
6)
x
y
−4 −2 2 4
−4
−2
2
4
7)
(
−2, 3
)
,
(
−7, −7
)
8)
(
2, −9
)
,
(
−1, 4
)
9)
(
5, 9
)
,
(
−7, −7
)
10)
(
8, 5
)
,
(
−1, 3
)
11)
(
−10, −7
)
,
(
−8, 1
)
12)
(
−6, −10
)
,
(
−2, −10
)
-1-
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Worksheet by Kuta Software LLC
Find the distance between each pair of points.
13)
x
y
−4 −2 2 4
−4
−2
2
4
14)
x
y
−4 −2 2 4
−4
−2
2
4
15)
x
y
−4 −2 2 4
−4
−2
2
4
16)
x
y
−4 −2 2 4
−4
−2
2
4
17)
x
y
−4 −2 2 4
−4
−2
2
4
18)
x
y
−4 −2 2 4
−4
−2
2
4
19)
(
0, −2
)
,
(
−5, −1
)
20)
(
6, 4
)
,
(
−5, −1
)
21)
(
3, 8
)
,
(
9, 10
)
22)
(
10, 1
)
,
(
9, −4
)
23)
(
−8, 10
)
,
(
−6, 7
)
24)
(
−5, 6
)
,
(
8, −4
)
Critical thinking questions:
25) Name a point that is 2 away from
(
−1, 5
)
.
26) Name a point that is between 50 and 60
units away from
(
7, −2
)
and state the
distance between the two points.
-2-
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N
Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry Name___________________________________
Period____Date________________
The Distance Formula
Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.
1)
x
y
−4 −2 2 4
−4
−2
2
4
9.2
2)
x
y
−4 −2 2 4
−4
−2
2
4
9.1
3)
x
y
−4 −2 2 4
−4
−2
2
4
2.2
4)
x
y
−4 −2 2 4
−4
−2
2
4
6
5)
x
y
−4 −2 2 4
−4
−2
2
4
4
6)
x
y
−4 −2 2 4
−4
−2
2
4
7.1
7)
(
−2, 3
)
,
(
−7, −7
)
11.2
8)
(
2, −9
)
,
(
−1, 4
)
13.3
9)
(
5, 9
)
,
(
−7, −7
)
20
10)
(
8, 5
)
,
(
−1, 3
)
9.2
11)
(
−10, −7
)
,
(
−8, 1
)
8.2
12)
(
−6, −10
)
,
(
−2, −10
)
4
-1-
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Worksheet by Kuta Software LLC
Find the distance between each pair of points.
13)
x
y
−4 −2 2 4
−4
−2
2
4
5 14)
x
y
−4 −2 2 4
−4
−2
2
4
5
15)
x
y
−4 −2 2 4
−4
−2
2
4
61 16)
x
y
−4 −2 2 4
−4
−2
2
4
26
17)
x
y
−4 −2 2 4
−4
−2
2
4
82 18)
x
y
−4 −2 2 4
−4
−2
2
4
5 2
19)
(
0, −2
)
,
(
−5, −1
)
26
20)
(
6, 4
)
,
(
−5, −1
)
146
21)
(
3, 8
)
,
(
9, 10
)
2 10
22)
(
10, 1
)
,
(
9, −4
)
26
23)
(
−8, 10
)
,
(
−6, 7
)
13
24)
(
−5, 6
)
,
(
8, −4
)
269
Critical thinking questions:
25) Name a point that is 2 away from
(
−1, 5
)
.
(
0, 6
)
,
(
0, 4
)
,
(
−2, 6
)
, or
(
−2, 4
)
26) Name a point that is between 50 and 60
units away from
(
7, −2
)
and state the
distance between the two points.
Many answers. Ex:
(
60, −2
)
; 53 units
-2-
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