3-The Midpoint Formula - Kuta Software

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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.

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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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Worksheet by Kuta Software LLC