# Midpoint Formula Exercise, Exercises for Mathematics

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A worksheet on Midpoint Formula under Algebra
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3-The Midpoint Formula

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Kuta Software - Infinite Geometry Name___________________________________

Period____Date________________The Midpoint Formula

Find the midpoint of each line segment.

1)

x

y

−4 −2 2 4

−4

−2

2

4

2)

x

y

−4 −2 2 4

−4

−2

2

4

3)

x

y

−4 −2 2 4

−4

−2

2

4

4)

x

y

−4 −2 2 4

−4

−2

2

4

5)

x

y

−4 −2 2 4

−4

−2

2

4

6)

x

y

−4 −2 2 4

−4

−2

2

4

7)

x

y

−4 −2 2 4

−4

−2

2

4

8)

x

y

−4 −2 2 4

−4

−2

2

4

-1-

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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). 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-

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Kuta Software - Infinite Geometry Name___________________________________

Period____Date________________The Midpoint Formula

Find the midpoint of each line segment.

1)

x

y

−4 −2 2 4

−4

−2

2

4

(−3, −3)

2)

x

y

−4 −2 2 4

−4

−2

2

4

(−1

1

2 , 0)

3)

x

y

−4 −2 2 4

−4

−2

2

4

(−1, 2)

4)

x

y

−4 −2 2 4

−4

−2

2

4

(12 , 1) 5)

x

y

−4 −2 2 4

−4

−2

2

4

(2 12 , 2)

6)

x

y

−4 −2 2 4

−4

−2

2

4

(−1, −1 12 ) 7)

x

y

−4 −2 2 4

−4

−2

2

4

(1 12 , −2)

8)

x

y

−4 −2 2 4

−4

−2

2

4

(−2 12 , 1 1

2 )

-1-

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Find the midpoint of the line segment with the given endpoints.

9) (−4, 4), (5, −1)

(

1

2 , 1

1

2 ) 10) (−1, −6), (−6, 5)

(−3 12 , − 1

2) 11) (2, 4), (1, −3)

(1 12 , 1

2 ) 12) (−4, 4), (−2, 2)

(−3, 3)

13) (5, 2), (−4, −3)

(12 , − 1

2 ) 14) (−1, 1), (5, −5)

(2, −2)

15) (2, −1), (−6, 0)

(−2, − 12 ) 16) (−3.1, −2.8), (−4.92, −3.3)

(−4.01, −3.05)

17) (−5.1, −2), (1.4, 1.7)

(−1.85, −0.15)

18) (4.9, −1.3), (−5.2, −0.6)

(−0.15, −0.95)

19) (5.1, 5.71), (6, 3.6)

(5.55, 4.655)

20) (3.1, −2.1), (−0.52, −0.6)

(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)

(−17, −29)

22) Endpoint: (2, 5), midpoint: (5, 1)

(8, −3)

23) Endpoint: (5, 2), midpoint: (−10, −2)

(−25, −6)

24) Endpoint: (9, −10), midpoint: (4, 8)

(−1, 26)

25) Endpoint: (−9, 7), midpoint: (10, −3)

(29, −13)

26) Endpoint: (−6, 4), midpoint: (4, 8)

(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)

-2-

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