Algebra Ii Worksheet With Answers Page 10
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10Algebra II
Name:
Worksheet #7 (§9 – 1)
Distance and Midpoint Formulas
2
2
Use the distance formula:
to find the distance
d =
(
x
− x
)
+ y
(
− y
)
2
1
2
1
between the given points to the nearest hundredth.
(
)
(
)
(
)
(
)
(
)
(
)
1.
4 , 7
, 1 , 3
2.
4 , 2
, −4 , −2
3.
8 , −2
, 14 , 1
(
−3 , −8
)
, −7 , 2
(
)
(
0 , −4
)
, 3 , 2
(
)
(
0 , 9
)
, −7 , −2
(
)
4.
5.
6.
(
)
(
)
(
)
(
)
(
)
(
)
7.
−13 , −9
, −1 , −5
8.
4 , −6
, 3 , −9
9.
−2 , 5
, 7 , 14
€
€
€
€
€
€
"
x
+ x
y
+ y
%
€
Use the midpoint formula:
€
to find the coordinates of the
€
1
2
1
2
,
$ $
' '
2
2
#
&
midpoint of a line segment with the given endpoints.
(
)
(
)
(
)
(
)
(
)
(
)
2 , 4
, 6 , 8
−2 , 6
, 8 , 6
−4 , −7
, 2 , 1
10.
11.
12.
€
(
)
(
)
(
)
(
)
(
)
(
)
13.
8 , −3
, 5 , 4
14.
−1 , 4
, 5 , −4
15.
12 , 3
, −3 , 1
(
)
(
)
(
)
(
)
(
)
(
)
0 , 9
, −7 , −2
−13 , −9
, −1 , −5
20 , 4
, −6 , −16
16.
17.
18.
€
€
€
€
€
€
€
€
€
Answers:
( )
1.#5##3.#6.71##5.#6.71##7.#12.65##9.#12.73##11.# 3, 6
(
)
(
)
(
)
13. 6.5, 0.5
#15.# 4.5, 2
##17.# −7, −7
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