3-The Distance Formula - Kuta Software

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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)
y
2)
y
4
4
2
2
−4 −2 2 4
−2
x
−4 −2 2 4
−2
x
−4
−4
3)
y
4)
y
4
4
2
2
−4 −2 2 4
−2
x
−4 −2 2 4
−2
x
−4
−4
5)
y
6)
y
4
4
2
2
−4 −2 2 4
−2
x
−4 −2 2 4
−2
x
−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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©D C2d0q1D15 EK3uXtEaI 8SHo6fUtAwyaKrReD yL1LgCV.k I cAulilU wrmiDg7hitxsS GrVefsleUrXveeTd1.E q BMRaHd9ea Rw1i5t3hn AI1n9fUicnHizt0eV hGcego6mZegtsr5yh.q Worksheet by Kuta Software LLC
Find the distance between each pair of points.
13)
y
14)
y
4
4
2
2
−4 −2 2 4
−2
x
−4 −2 2 4
−2
x
−4
−4
15)
y
16)
y
4
4
2
2
−4 −2 2 4
−2
x
−4 −2 2 4
−2
x
−4
−4
17)
y
18)
y
4
4
2
2
−4 −2 2 4
−2
x
−4 −2 2 4
−2
x
−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)
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.

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©c Z2y0N1C1V wKLuGtKar qSgobfktownarrRew eL1LTCX.S P sANlHlB VrwiHgZhBtjsw HrmeusKeTrcvpe5dV.L K SMOaOdmeQ WwWixtpho WIhnbfRi8nSivtJeM GGge3odm0ect4rGyM.N 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)
y
2)
y
4
4
2
2
−4 −2 2 4
−2
x
−4 −2 2 4
−2
x
−4
−4
9.2
9.1
3)
y
4)
y
4
4
2
2
−4 −2 2 4
−2
x
−4 −2 2 4
−2
x
−4
−4
2.2
6
5)
y
6)
y
4
4
2
2
−4 −2 2 4
−2
x
−4 −2 2 4
−2
x
−4
−4
4
7.1
7) (−2, 3), (−7, −7)
8) (2, −9), (−1, 4)
11.2
13.3
9) (5, 9), (−7, −7)
10) (8, 5), (−1, 3)
20
9.2
11) (−10, −7), (−8, 1)
12) (−6, −10), (−2, −10)
8.2
4

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©8 q2p0Q1Z1w EK8uXtnan iSdoffmtewFaIree5 0LnLCCI.r Q uAblxlL ur1i2gihBtHsj 6rjeCs8eSrnvmeodi.T j GMMajdOeK iwCiutGhX 5IgnGfoikn6iJtFe5 lGkeFoWmveyt1ruyV.B Worksheet by Kuta Software LLC
Find the distance between each pair of points.
13)
y
5 14)
y
5
4
4
2
2
−4 −2 2 4
−2
x
−4 −2 2 4
−2
x
−4
−4
15)
y
61 16)
y
26
4
4
2
2
−4 −2 2 4
−2
x
−4 −2 2 4
−2
x
−4
−4
17)
y
82 18)
y
5 2
4
4
2
2
−4 −2 2 4
−2
x
−4 −2 2 4
−2
x
−4
−4
19) (0, −2), (−5, −1)
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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