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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 />

Create your own worksheets like this one with Infinite Algebra 1. Free trial available at <strong>Kuta</strong><strong>Software</strong>.com

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