Using the midpoint formula - Kuta Software
Using the midpoint formula - Kuta Software
Using the midpoint formula - Kuta Software
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-1-<br />
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<strong>Kuta</strong> <strong>Software</strong> - Infinite Algebra 1<br />
Name___________________________________<br />
The Midpoint Formula<br />
Find <strong>the</strong> <strong>midpoint</strong> of <strong>the</strong> line segment with <strong>the</strong> given endpoints.<br />
1) (7, 4), (9, −1) 2) (8, −9), (0, 5)<br />
Date________________ Period____<br />
3) (1, −7), (1, −12) 4) (0, 4), (−4, −12)<br />
5) (−4, 2), (2, −3) 6) (5, 9), (−1, 9)<br />
7) (−7, 8), (−2, −9) 8) (2, −11), (−9, 0)<br />
9) (4, −1), (2, −7) 10) (−4, −6), (3, −6)<br />
11) (14, 0), (−7, 5) 12) (14, −8), (12, −1)<br />
13) (−4, 12), (−7, −2)<br />
14)<br />
( − 1 9 , − 1 2) , ( 14<br />
9 , 4 3)
-2-<br />
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15)<br />
( 5 3 , 1 ) , (0, 2) 16) ( − 3 2 , − 1 3) , ( 3 4 , 3 5)<br />
17)<br />
( 2 5 , − 2 5) , ( − 7 8 , − 3 5)<br />
18) (6.6, 8.52), (−5.5, 4.07)<br />
19) (−2.9, −2.958), (8.6, 5) 20) (9.3, 9.4), (8.3, −8.7)<br />
Given <strong>the</strong> <strong>midpoint</strong> and one endpoint of a line segment, find <strong>the</strong> o<strong>the</strong>r endpoint.<br />
21) Endpoint: (−9, −1), <strong>midpoint</strong>: (8, 14) 22) Endpoint: (10, 12), <strong>midpoint</strong>: (6, 9)<br />
23) Endpoint: (−8, −10), <strong>midpoint</strong>: (10, −7) 24) Endpoint: (−11, 9), <strong>midpoint</strong>: (3, −11)<br />
25) Endpoint: (−2, 7), <strong>midpoint</strong>: (12, −10) 26) Endpoint: (11, 14), <strong>midpoint</strong>: (10, 14)<br />
27) Endpoint: (14, −8), <strong>midpoint</strong>: (5, 8) 28) Endpoint: (−9, 0), <strong>midpoint</strong>: (10, −7)<br />
29) Endpoint:<br />
( − 5 6 , − 1 3) ( , <strong>midpoint</strong>: 1 2 ) , −1 12<br />
30) Endpoint:<br />
(<br />
2,<br />
7 ) ( , <strong>midpoint</strong>: 1 3 , − 8 5)
<strong>Kuta</strong> <strong>Software</strong> - Infinite Algebra 1<br />
Name___________________________________<br />
The Midpoint Formula<br />
Find <strong>the</strong> <strong>midpoint</strong> of <strong>the</strong> line segment with <strong>the</strong> given endpoints.<br />
Date________________<br />
Period____<br />
1) (7, 4), (9, −1)<br />
(8, 1.5)<br />
2) (8, −9), (0, 5)<br />
(4, −2)<br />
3) (1, −7), (1, −12)<br />
(1, −9.5)<br />
4) (0, 4), (−4, −12)<br />
(−2, −4)<br />
5) (−4, 2), (2, −3)<br />
(−1, −0.5)<br />
6) (5, 9), (−1, 9)<br />
(2, 9)<br />
7) (−7, 8), (−2, −9)<br />
(−4.5, −0.5)<br />
8) (2, −11), (−9, 0)<br />
(−3.5, −5.5)<br />
9) (4, −1), (2, −7)<br />
(3, −4)<br />
10) (−4, −6), (3, −6)<br />
(−0.5, −6)<br />
11) (14, 0), (−7, 5)<br />
(3.5, 2.5)<br />
12) (14, −8), (12, −1)<br />
(13, −4.5)<br />
13) (−4, 12), (−7, −2)<br />
(−5.5, 5)<br />
14)<br />
( − 1 9 , − 1 2) , ( 14<br />
( 13<br />
18 , 5<br />
12)<br />
9 , 4 3)<br />
-1-<br />
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-2-<br />
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15)<br />
( 5 3 ) , 1 , (0, 2)<br />
( 5 , 3 6 2)<br />
16)<br />
( − 3 2 , − 1 3) , ( 3 4 , 3 5)<br />
(<br />
− ,<br />
38 15)<br />
2<br />
17)<br />
( 2 5 , − 2 5) ( , − 7 8 , − 3 5)<br />
(<br />
19<br />
−<br />
80 , − 1 2)<br />
19) (−2.9, −2.958), (8.6, 5)<br />
(2.849, 1.02)<br />
18) (6.6, 8.52), (−5.5, 4.07)<br />
(0.549, 6.295)<br />
20) (9.3, 9.4), (8.3, −8.7)<br />
(8.8, 0.35)<br />
Given <strong>the</strong> <strong>midpoint</strong> and one endpoint of a line segment, find <strong>the</strong> o<strong>the</strong>r endpoint.<br />
21) Endpoint: (−9, −1), <strong>midpoint</strong>: (8, 14)<br />
22) Endpoint: (10, 12), <strong>midpoint</strong>: (6, 9)<br />
(25, 29)<br />
(2, 6)<br />
23) Endpoint: (−8, −10), <strong>midpoint</strong>: (10, −7)<br />
(28, −4)<br />
24) Endpoint: (−11, 9), <strong>midpoint</strong>: (3, −11)<br />
(17, −31)<br />
25) Endpoint: (−2, 7), <strong>midpoint</strong>: (12, −10)<br />
(26, −27)<br />
26) Endpoint: (11, 14), <strong>midpoint</strong>: (10, 14)<br />
(9, 14)<br />
27) Endpoint: (14, −8), <strong>midpoint</strong>: (5, 8)<br />
(−4, 24)<br />
28) Endpoint: (−9, 0), <strong>midpoint</strong>: (10, −7)<br />
(29, −14)<br />
29) Endpoint:<br />
( − 5 6 , − 1 3) ( , <strong>midpoint</strong>: 1 2 )<br />
, −1<br />
( 11<br />
6 , − 5 3)<br />
12<br />
30) Endpoint:<br />
(<br />
2,<br />
(<br />
− , −<br />
43 172<br />
35 )<br />
7 ) , <strong>midpoint</strong>: ( 1 3 , − 8 5)<br />
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