Name___________________________________. Period____.
Date________________. The Midpoint Formula. Find the midpoint of each line
segment. 1).
Kuta Software - Infinite Geometry
Name___________________________________
The Midpoint Formula
Date________________ Period____
Find the midpoint of each line segment. 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
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)
x
8) y
−4
y
4
4
2
2
−2
2
4
−4
x
−2
−2
−2
−4
−4
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x
Worksheet by Kuta Software LLC
Find the midpoint of the line segment with the given endpoints. 9) (−4, 4), (5, −1)
10) (−1, −6), (−6, 5)
11) (2, 4), (1, −3)
12) (−4, 4), (−2, 2)
13) (5, 2), (−4, −3)
14) (−1, 1), (5, −5)
15) (2, −1), (−6, 0)
16) (−3.1, −2.8), (−4.92, −3.3)
17) (−5.1, −2), (1.4, 1.7)
18) (4.9, −1.3), (−5.2, −0.6)
19) (5.1, 5.71), (6, 3.6)
20) (3.1, −2.1), (−0.52, −0.6)
Find the other endpoint of the line segment with the given endpoint and midpoint. 21) Endpoint: (−1, 9), midpoint: (−9, −10)
22) Endpoint: (2, 5), midpoint: (5, 1)
23) Endpoint: (5, 2), midpoint: (−10, −2)
24) Endpoint: (9, −10), midpoint: (4, 8)
25) Endpoint: (−9, 7), midpoint: (10, −3)
26) Endpoint: (−6, 4), midpoint: (4, 8)
Critical thinking questions: 27) Find the point that is one-fourth of the way from (2, 4) to (10, 8).
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28) One endpoint of a line segment is (8, −1). The point (5, −2) is one-third of the way from that endpoint to the other endpoint. Find the other endpoint.
-2-
Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry
Name___________________________________
The Midpoint Formula
Date________________ Period____
Find the midpoint of each line segment. 1)
2) y
−4
y
4
4
2
2
−2
2
4
−4
x
−2
−2
−2
−4
−4
(
1 −1 , 0 2
(−3, −3) 3)
2
4
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
x
( ) 1 ,1 2
(−1, 2) 5)
6) y
−4
y
4
4
2
2
−2
2
4
−4
x
−2
−2
−2
−4
−4
( )
(
1 2 ,2 2
−1, −1
7)
1 2
x
)
8) y
−4
(
y
4
4
2
2
−2
2
4
−4
x
−2
−2
−2
−4
−4
1 1 , −2 2
)
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(
1 1 −2 , 1 2 2
-1-
x
)
Worksheet by Kuta Software LLC
Find the midpoint of the line segment with the given endpoints. 9) (−4, 4), (5, −1) 1 1 ,1 2 2
10) (−1, −6), (−6, 5) 1 1 −3 , − 2 2
11) (2, 4), (1, −3) 1 1 1 , 2 2
12) (−4, 4), (−2, 2)
13) (5, 2), (−4, −3) 1 1 ,− 2 2
14) (−1, 1), (5, −5)
15) (2, −1), (−6, 0) 1 −2, − 2
16) (−3.1, −2.8), (−4.92, −3.3)
17) (−5.1, −2), (1.4, 1.7)
18) (4.9, −1.3), (−5.2, −0.6)
( )
(
( )
(−3, 3)
( ) (
(2, −2)
)
(−4.01, −3.05)
(−1.85, −0.15) 19) (5.1, 5.71), (6, 3.6)
)
(−0.15, −0.95) 20) (3.1, −2.1), (−0.52, −0.6)
(5.55, 4.655)
(1.29, −1.35)
Find the other endpoint of the line segment with the given endpoint and midpoint. 21) Endpoint: (−1, 9), midpoint: (−9, −10)
22) Endpoint: (2, 5), midpoint: (5, 1)
(−17, −29) 23) Endpoint: (5, 2), midpoint: (−10, −2)
(8, −3) 24) Endpoint: (9, −10), midpoint: (4, 8)
(−25, −6) 25) Endpoint: (−9, 7), midpoint: (10, −3)
(−1, 26) 26) Endpoint: (−6, 4), midpoint: (4, 8)
(29, −13)
(14, 12)
Critical thinking questions: 27) Find the point that is one-fourth of the way from (2, 4) to (10, 8).
(4, 5)
28) One endpoint of a line segment is (8, −1). The point (5, −2) is one-third of the way from that endpoint to the other endpoint. Find the other endpoint.
(−1, −4)
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-2-
Worksheet by Kuta Software LLC
