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