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Midpoint Formula Exercise, Exercises of Mathematics

Mathematics

A worksheet on Midpoint Formula under Algebra

Typology: Exercises

2018/2019

Uploaded on 07/10/2019

aldrienne
aldrienne ๐Ÿ‡ต๐Ÿ‡ญ

2 documents

1 / 4

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Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry Name___________________________________
Period____Date________________
The Midpoint Formula
Find the midpoint of each line segment.
1)
x
y
โˆ’4 โˆ’2 2 4
โˆ’4
โˆ’2
2
4
2)
x
y
โˆ’4 โˆ’2 2 4
โˆ’4
โˆ’2
2
4
3)
x
y
โˆ’4 โˆ’2 2 4
โˆ’4
โˆ’2
2
4
4)
x
y
โˆ’4 โˆ’2 2 4
โˆ’4
โˆ’2
2
4
5)
x
y
โˆ’4 โˆ’2 2 4
โˆ’4
โˆ’2
2
4
6)
x
y
โˆ’4 โˆ’2 2 4
โˆ’4
โˆ’2
2
4
7)
x
y
โˆ’4 โˆ’2 2 4
โˆ’4
โˆ’2
2
4
8)
x
y
โˆ’4 โˆ’2 2 4
โˆ’4
โˆ’2
2
4
-1-
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pf4

Partial preview of the text

Download Midpoint Formula Exercise and more Exercises Mathematics in PDF only on Docsity!

ยฉA x 2 j 011 r 1 U 5 KiuCtLaq bSfoEfttHwuaer 6 eF aL 2 LJCs.f L kAslHlE krvieg 0 hvtwsQ QrfeSsSeCrIvIeRdu.V k SMqazdUei swkiBtxhz dIRnLf 7 irnNiytoek xG 9 eXoAmleAtKr 4 y 8. 1 Worksheet by Kuta Software LLC

Kuta Software - Infinite Geometry Name___________________________________

The Midpoint Formula Date________________ Period____

Find the midpoint of each line segment.

x

y

x

y

x

y

x

y

x

y

x

y

x

y

x

y

-1-

ยฉa t 2 I 0 x 1 p 1 V TKWuOtFaQ iS 6 o 8 fStYwcadrNee rLGLTC 8. 6 f hAVlFlq R rCiEglh 0 tPsI 7 rPeJsRe 7 rRvHesdf.y j 2 Mealdjew Aw 7 iMtrhe mI 1 nDfeiynHiPtteg zGxefoEmuefthrNyR.X Worksheet by Kuta Software LLC

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

  1. (โˆ’4, 4 ), ( 5 , โˆ’1)^ 10) (โˆ’1, โˆ’6), (โˆ’6, 5 )
  2. ( 2 , 4 ), ( 1 , โˆ’3) 12) (โˆ’4, 4 ), (โˆ’2, 2 )
  3. ( 5 , 2 ), (โˆ’4, โˆ’3) 14) (โˆ’1, 1 ), ( 5 , โˆ’5)
  4. ( 2 , โˆ’1), (โˆ’6, 0 ) 16) (โˆ’3.1, โˆ’2.8), (โˆ’4.92, โˆ’3.3)
  5. (โˆ’5.1, โˆ’2), (1.4, 1.7) 18) (4.9, โˆ’1.3), (โˆ’5.2, โˆ’0.6)
  6. (5.1, 5.71), ( 6 , 3.6)^ 20) (3.1, โˆ’2.1), (โˆ’0.52, โˆ’0.6)

Find the other endpoint of the line segment with the given endpoint and midpoint.

  1. Endpoint: (โˆ’1, 9 ), midpoint: (โˆ’9, โˆ’10) 22) Endpoint: ( 2 , 5 ), midpoint: ( 5 , 1 )
  2. Endpoint: ( 5 , 2 ), midpoint: (โˆ’10, โˆ’2)^ 24) Endpoint: ( 9 , โˆ’10), midpoint: ( 4 , 8 )
  3. Endpoint: (โˆ’9, 7 ), midpoint: ( 10 , โˆ’3)^ 26) Endpoint: (โˆ’6, 4 ), midpoint: ( 4 , 8 )

Critical thinking questions:

  1. Find the point that is one-fourth of the way

from ( 2 , 4 ) to ( 10 , 8 ).

  1. One endpoint of a line segment is ( 8 , โˆ’1). The point ( 5 , โˆ’2) is one-third of the way

from that endpoint to the other endpoint.

Find the other endpoint.

-2-

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

  1. (โˆ’4, 4 ), ( 5 , โˆ’1)

2 )^

(โˆ’^

(^1

2 )^

2 )^

2 )^

16) (โˆ’3.1, โˆ’2.8), (โˆ’4.92, โˆ’3.3)

(โˆ’4.01, โˆ’3.05)

  1. (โˆ’5.1, โˆ’2), (1.4, 1.7) (โˆ’1.85, โˆ’0.15)
  2. (4.9, โˆ’1.3), (โˆ’5.2, โˆ’0.6) (โˆ’0.15, โˆ’0.95)
  3. (5.1, 5.71), ( 6 , 3.6) (5.55, 4.655)
  4. (3.1, โˆ’2.1), (โˆ’0.52, โˆ’0.6) (1.29, โˆ’1.35) Find the other endpoint of the line segment with the given endpoint and midpoint.
  5. Endpoint: (โˆ’1, 9 ), midpoint: (โˆ’9, โˆ’10) (โˆ’17, โˆ’29)
  6. Endpoint: ( 2 , 5 ), midpoint: ( 5 , 1 ) ( 8 , โˆ’3)
  7. Endpoint: ( 5 , 2 ), midpoint: (โˆ’10, โˆ’2) (โˆ’25, โˆ’6)
  8. Endpoint: ( 9 , โˆ’10), midpoint: ( 4 , 8 ) (โˆ’1, 26 )
  9. Endpoint: (โˆ’9, 7 ), midpoint: ( 10 , โˆ’3) ( 29 , โˆ’13)
  10. Endpoint: (โˆ’6, 4 ), midpoint: ( 4 , 8 ) ( 14 , 12 ) Critical thinking questions:
  11. Find the point that is one-fourth of the way from ( 2 , 4 ) to ( 10 , 8 ). ( 4 , 5 )
  12. One endpoint of a line segment is ( 8 , โˆ’1). The point ( 5 , โˆ’2) is one-third of the way from that endpoint to the other endpoint. Find the other endpoint. (โˆ’1, โˆ’4)

-2- Create your own worksheets like this one with (^) Infinite Geometry. Free trial available at KutaSoftware.com