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Worksheets

Distance Formula

Total questions: 20

Worksheet time: 1hrs 9mins

Name
Class
Date
1.

A(3,1) B(-2,-1) written correctly is:

a)

(23)2 + (11)2\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}

b)

(13)2 + (12)2\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}

c)

(23)2  (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

d)

(23)2  (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

2.

A(2,0) B(-2,4) is written as

a)

d = (42)2  (02)2d\ =\ \sqrt{\left(4-2\right)^2\ -\ \left(0-2\right)^2}

b)

d = (40)2  (22)2d\ =\ \sqrt{\left(4-0\right)^2\ -\ \left(-2-2\right)^2}

c)

d = (2 +0)2 + (4+2)2d\ =\ \sqrt{\left(-2\ +0\right)^2\ +\ \left(4+2\right)^2}

d)

d = (22)2 + (40)2d\ =\ \sqrt{\left(-2-2\right)^2\ +\ \left(4-0\right)^2}

3.

How is AB written in the distance formula?

a)


d = (53)2 + (02)2d\ =\ \sqrt{\left(5-3\right)^2\ +\ \left(0--2\right)^2}

b)

d = (25)2 + (3 0)2d\ =\ \sqrt{\left(2-5\right)^2\ +\ \left(3\ -0\right)^2}

c)

d = (53)2  (02)2d\ =\ \sqrt{\left(5-3\right)^2\ -\ \left(0--2\right)^2}

d)

d = (43)2  (24)2d\ =\ \sqrt{\left(4-3\right)^2\ -\ \left(2-4\right)^2}

4.
Find the distance between (-12, 1) and (12, -1).
a)
24.05
b)
24.06
c)
24.07
d)
24.08
5.
Find the distance between (-5, -8) and (-1, -16).
a)
8.9
b)
9.8
c)
10.3
d)
11
6.
Find the distance between (3, 24) and (7, 56).
a)
32.1
b)
32.2
c)
32.3
d)
32.4
7.
Find the distance between (-4, 5) and (7, 18).
a)
15.96
b)
16.08
c)
16.23
d)
17.03
8.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
9.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
10.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
11.
Find the distance.
a)
7.1
b)
7.8
c)
8.7
d)
8.9
12.
Find the distance between (-3, -11) and (8, -42).
a)
32.1
b)
32.3
c)
32.7
d)
32.9
13.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
14.
On the coordinate plane, which line is the y-axis?
a)
Horizontal Line (Side to Side)
b)
Vertical Line (Up and Down)
15.
What letter is at (7, -6)?
a)
D
b)
L
c)
X
d)
There is no letter at those coordinates.
16.
Find the direct distance between the court house and the town hall.
a)
26
b)
6.8
c)
10
d)
7.2 km
17.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
18.
Find the distance between ( 1, 3) and (5, 6) 
a)
3
b)
4
c)
5
d)
6
19.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
20.
Find the distance between (3, 24) and (7, 56).
a)
32.1
b)
32.2
c)
32.3
d)
32.4