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Distance Formula, Midpoint Formula

Total questions: 28

Worksheet time: 2hrs 41mins

Name
Class
Date
1.

Given two points (x1, y1), (x2, y2) the distance between them is:

a)
b)
c)
d)
2.

Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?

a)
b)
c)
d)
3.
Find the distance between the points (4, 3) and (0, 6).
a)
3
b)
4
c)
5
d)
7
4.
What is the midpoint between (3, -1) and (8, -6)
a)
(11, -7)
b)
(-5.5, -3.5)
c)
(5.5, -3.5)
d)
(2, -2)
5.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
6.
Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?
a)
(1,5)
b)
(2,10)
c)
(7,2)
d)
(1,2)
7.
Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)
a)
(-1, 13)
b)
(13, 1)
c)
(13, -1)
d)
(5, 13)
8.
Find the distance.
a)
7.1
b)
7.8
c)
8.7
d)
8.9
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 ( 1, 3) and (5, 6) 
a)
3
b)
4
c)
5
d)
6
11.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
12.
Find the distance between (-4, 5) and (7, 18).
a)
15.96
b)
16.08
c)
16.23
d)
17.03
13.
Find the distance between (-3, -11) and (8, -42).
a)
32.1
b)
32.3
c)
32.7
d)
32.9
14.
a)

(3, 1)

b)

(3.5, 1)

c)

(4, 1)

d)

(2, 0)

15.
Find the distance between (-12, 1) and (12, -1).
a)
24.05
b)
24.06
c)
24.07
d)
24.08
16.

What is the midpoint of the segment with endpoints (1, 9) and (-3, 5)?

a)

(-1, 7)

b)

(2, 7)

c)

(7, -1)

d)

(2, 2)

17.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
18.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
19.
Find the distance between (-5, -8) and (-1, -16).
a)
8.9
b)
9.8
c)
10.3
d)
11
20.
Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5)     
a)
(0, -1)
b)
(6, 1)
c)
(1, 6)
d)
(0, 1)
21.
Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5)     
a)
(0, -1)
b)
(6, 1)
c)
(1, 6)
d)
(0, 1)
22.
What is the center of MN given M(3, -1) and N(7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
23.
Find the length of line segment AB given A(4, 3) and B(0, 6).
a)
3
b)
4
c)
5
d)
7
24.
What point is halfway between (3, -1) and (8, -6)?
a)
(11, -7)
b)
(-5.5, -3.5)
c)
(5.5, -3.5)
d)
(2, -2)
25.
How far is point A from point B?
a)
7.1
b)
7.8
c)
8.7
d)
8.9
26.
What formula do you use to measure the entire length of a diagonal? 
a)
midpoint formula
b)
slope
c)
distance formula
d)
midpoint theory
27.
The length between (3, 8) and (-2, -4) is ______?
a)
√17
b)
13
c)
17
d)
169
28.
What is the distance of JK, where J(4,3) and K(2, -3)?
a)
√ ̅3̅2̅
b)
40
c)
32
d)
√ ̅4̅0̅