Download 3-The Midpoint Formula

Secondary 1 daily math
Name
2B.3 The Distance and Midpoint Formula
Date
Problems 1-4: Find the distance of each line segment.
Label the endpoints.
1)
2)
y
−4
4
2
2
2
4
−4
x
−2
−2
−2
−4
−4
3)
4)
y
−4
y
4
−2
4
2
2
2
4
−4
x
−2
−2
−2
−4
−4
Problems 5-8: Find the midpoint of each line segment.
5)
6)
y
−4
4
2
2
2
4
−2
−2
−2
−4
−4
7)
8)
y
−4
−4
x
4
2
2
2
4
−4
x
−2
−2
−2
−4
−4
© 20 11 Ku t a So ft wa r e L L C. Al l r ig h t s re s e rve d . M a d e w i t h I n fin it e G e o me t r y.
-1-
x
2
4
x
2
4
x
2
4
x
y
4
−2
4
y
4
−2
2
y
4
−2
Period
Worksheet by Kuta Software LLC
Problems 9-12: 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)
Problems 13-16: Find the midpoint of the line segment with the given endpoints.
13) (5, 2), (−4, −3)
14) (−1, 1), (5, −5)
15) (2, −1), (−6, 0)
16) (−3.1, −2.8), (−4.92, −3.3)
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)
Critical thinking questions:
27) Find the point that is one-fourth of the way
from (2, 4) to (10, 8).
© 20 1 1 K u t a S o f t w a r e L L C . A ll r ight s r e s e r v e d. M ade w i t h I n fin it e G eo met r y .
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Worksheet by Kuta Software LLC
Secondary 1 daily math
Name
2B.3 The Distance and Midpoint Formula
Date
Problems 1-4: Find the distance of each line segment.
Label the endpoints.
1)
2)
y
−4
4
2
2
2
4
−4
x
−2
−4
−4
4
x
2
4
x
2
4
x
2
4
x
1
−1 , 0
2
4)
y
y
4
4
2
2
−2
2
4
−4
x
−2
−2
−2
−4
−4
( )
1
,1
2
(−1, 2)
5)
6)
y
y
4
4
2
2
−2
2
4
−4
x
−2
−2
−2
−4
−4
( )
(
1
2 ,2
2
−1, −1
7)
)
1
2
8)
y
−4
2
( )
3)
−4
−2
−2
(−3, −3)
−4
y
4
−2
Period
y
4
4
2
2
−2
2
4
−4
x
−2
−2
−2
−4
−4
( )
(
1
1 , −2
2
© 2 01 1 K u t a S o ft w a r e L L C . All r i g ht s r e s er v e d . M a d e w it h I n fin it e G e o me t r y .
)
1 1
−2 , 1
2 2
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Worksheet by Kuta Software LLC
Problems 9-12: 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)
14) (−1, 1), (5, −5)
( )
( )
(
(−3, 3)
(2, −2)
( )
1 1
,−
2 2
15) (2, −1), (−6, 0)
( )
16) (−3.1, −2.8), (−4.92, −3.3)
(−4.01, −3.05)
1
−2, − 2
17) (−5.1, −2), (1.4, 1.7)
18) (4.9, −1.3), (−5.2, −0.6)
(−1.85, −0.15)
19) (5.1, 5.71), (6, 3.6)
(5.55,
)
(−0.15, −0.95)
20) (3.1, −2.1), (−0.52, −0.6)
(1.29, −1.35)
4.655)
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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© 2 0 1 1 K u t a S of t w a r e L L C. All r ig h t s r e s e r v e d . M ad e w it h I n f i ni t e G e o me t r y.
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Worksheet by Kuta Software LLC