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M1P7 Midpoint, Endpoint, and Distance

Total questions: 76

Worksheet time: 8hrs 48mins

Name
Class
Date
1.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
2.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
3.
Find the distance between (-12, 1) and (12, -1).
a)
24.05
b)
24.06
c)
24.07
d)
24.08
4.
Find the distance between (-5, -8) and (-1, -16).
a)
8.9
b)
9.8
c)
10.3
d)
11
5.
Find the distance between (-4, 5) and (7, 18).
a)
15.96
b)
16.08
c)
16.23
d)
17.03
6.

Find the endpoint of the segment with the endpoint of (-4, 5) and midpoint of (7, -9)

a)

(18, -23)

b)

(13, 18)

c)

(11,4)

d)

(1.5, -2)

7.
Find the endpoint of the segment with the endpoint of  (-4, 5) and midpoint of (7, -9) 
a)
(18, 13)
b)
(13, 18)
c)
(11,4)
d)
(1.5, -2)
8.
  Find the missing endpoint if the midpoint is at (2, -5) and one endpoint is at (12, -5).
a)
(2, -5)
b)
(10, -8)
c)
(-8, -5)
d)
(12, -5)
9.
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8)   Midpoint (0,9)
a)
(-9, 10)
b)
(1.5, -1)
c)
(4.5, -0.5)
d)
(8.5, 4.5)
10.
Find the midpoint of the segment with the endpoints:  (-2, 6) and (-3, 7)   
a)
(0.5, 0.5)
b)
(6.5, -2.5)
c)
(-1.5, 7)
d)
(-2.5, 6.5)
11.
Find the distance between (-5, -8) and (-1, -16).
a)
8.9
b)
9.8
c)
10.3
d)
11
12.
Find the distance between (-4, 5) and (7, 18).
a)
15.96
b)
16.08
c)
16.23
d)
17.03
13.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
14.

Find the midpoint of segment AB.

a)

(2, -4)

b)

(-1, 1)

c)

(-6, 4)

d)

(-2, 0)

15.

The endpoints of segment ST are (1, -3) and (5, 7). What are the coordinates of the midpoint?

a)

(2, 3)

b)

(3, 2)

c)

(2, -5)

d)

(-1, -1)

16.

If point M is the midpoint of segment JS, what are the coordinates of point S?

a)

(1, 2)

b)

(-2, -4)

c)

(4, -1)

d)

(-7, -7)

17.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

18.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
19.
Find the slope
a)
7/3
b)
3/7
c)
-3/7
d)
-7/3
20.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
21.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
22.
Find the midpoint of the segment with the endpoints:(-7, -8) and (4, 7) 
a)
(-5.5, -7.5)
b)
(-1.5, -0.5)
c)
(-3, -1)
d)
(0.5, 1.5)
23.
Find the midpoint of an imaginary diagonal AC of ABCD.
a)
(1, 3)
b)
(5, 4)
c)
(6, 4)
d)
(0, 4)
24.

Find the midpoint of the line segment with the given endpoints: (-2, 8) and (7, 7)

a)

(16, 6)

b)

(2.5, 7.5)

c)

(3, 7)

d)

(-4.5, 0.5)

25.

Find the midpoint of the line segment with the given endpoints: (4, -1) and (0, 8)

a)

(2, 3.5)

b)

(1.5, 4)

c)

(-4, 17)

d)

(2, -4.5)

26.

Find the midpoint of the line segment shown:

a)

(-2.5, -1)

b)

(-1.5, 2)

c)

(7, 4)

d)

(-0.5, 1)

27.

Find the midpoint of the line segment shown:

a)

(-0.5, 4)

b)

(2.5, 1)

c)

(10, 7)

d)

(-2.5, -2)

28.

Read carefully: Find the other endpoint of a line segment with one endpoint at (3, 8) and a midpoint at (0, -7)

a)

(-3, -22)

b)

(5.5, -3.5)

c)

(-5.5, -3.5)

d)

(1.5, 7.5)

29.

Read carefully: Find the other endpoint of a line segment with one endpoint at (-6, 7) and a midpoint at (6, -1)

a)

(18, -9)

b)

(7, -5)

c)

(0.5, 2.5)

d)

(-6, 4)

30.

Find the distance between the endpoints shown in the graph. Round your answer to the nearest tenth.

(a)  

31.

Find the distance between the endpoints shown in the graph. Round your answer to the nearest tenth.

(a)  

32.

Find the distance between the points (-1, 6) and (-7, 4). Express your answer as a simplified radical.

a)

323\sqrt{2}

b)

2102\sqrt{10}

c)

2412\sqrt{41}

d)

222\sqrt{2}

33.

Find the distance between the points (-6, 4) and (-3, 7). Express your answer as a simplified radical.

a)

252\sqrt{5}

b)

2102\sqrt{10}

c)

6\sqrt{6}

d)

323\sqrt{2}

34.

Find the missing side length, x. Round your answer to the nearest tenth place.

a)

14.3

b)

8.1

c)

14.1

d)

1.8

35.

Find the missing side length, x. Round your answer to the nearest tenth place.

a)

12.2

b)

17.5

c)

21.3

d)

7.2

36.

Find the missing side length, x. Leave the answer in simplest radical form.

a)

00  

b)

11311\sqrt{3}  

c)

2672\sqrt{67}  

d)

11211\sqrt{2}  

37.

Find the missing side length, x. Leave the answer in simplest radical form.

a)

2852\sqrt{85}

b)

2622\sqrt{62}

c)

2132\sqrt{13}

d)

2232\sqrt{23}

38.

Is the triangle with the given side lengths a right triangle?

a)

yes

b)

no

39.

Is the triangle with the given side lengths a right triangle?

a)

yes

b)

no

40.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
41.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
42.
Find the distance between (-12, 1) and (12, -1).
a)
24.05
b)
24.06
c)
24.07
d)
24.08
43.
Find the distance between (-5, -8) and (-1, -16).
a)
8.9
b)
9.8
c)
10.3
d)
11
44.
Find the distance between (-4, 5) and (7, 18).
a)
15.96
b)
16.08
c)
16.23
d)
17.03
45.

Find the endpoint of the segment with the endpoint of (-4, 5) and midpoint of (7, -9)

a)

(18, -23)

b)

(13, 18)

c)

(11,4)

d)

(1.5, -2)

46.
Find the endpoint of the segment with the endpoint of  (-4, 5) and midpoint of (7, -9) 
a)
(18, 13)
b)
(13, 18)
c)
(11,4)
d)
(1.5, -2)
47.
  Find the missing endpoint if the midpoint is at (2, -5) and one endpoint is at (12, -5).
a)
(2, -5)
b)
(10, -8)
c)
(-8, -5)
d)
(12, -5)
48.
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8)   Midpoint (0,9)
a)
(-9, 10)
b)
(1.5, -1)
c)
(4.5, -0.5)
d)
(8.5, 4.5)
49.
Find the midpoint of the segment with the endpoints:  (-2, 6) and (-3, 7)   
a)
(0.5, 0.5)
b)
(6.5, -2.5)
c)
(-1.5, 7)
d)
(-2.5, 6.5)
50.

Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?

a)
b)
c)
d)
51.

Find the midpoint of the line segment with the given endpoints (3,9) and (5,9)

a)

(-1,0)

b)

(4,9)

c)

(6,7)

d)

(7,9)

52.
What is the midpoint between (-4,4) and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
53.

Find the midpoint of the line segment with the given endpoints (6,-6) and (-10,-10)

a)

(8,2)

b)

(-26,-14)

c)

(0,-10)

d)

(-2,-8)

54.
Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5) 
a)
(0, -1)
b)
(6, 1)
c)
(1, 6)
d)
(0, 1)
55.
Find the midpoint of the segment with the endpoints:  (-4, 5) and (7, -9) 
a)
(-1.5, 2)
b)
(5.5, -7)
c)
(-2, 1.5)
d)
(1.5, -2)
56.
Find the midpoint of the segment with the endpoints:(1, 7) and (9, 0) 
a)
(4, 3.5)
b)
(3.5, 5)
c)
(3.5, 4.5)
d)
(5, 3.5)
57.
A point that divides, or bisects, a segment into two congruent segments is called a ___________________.
a)
midpoint
b)
congruent segment
c)
angle bisector
d)
endpoint
58.
Find the midpoint of the segment with the endpoints:(1, 7) and (9, 0) 
a)
(4, 3.5)
b)
(3.5, 5)
c)
(3.5, 4.5)
d)
(5, 3.5)
59.
What is the midpoint between (3, -1) and (8, -6)
a)
(11, -7)
b)
(-5.5, -3.5)
c)
(5.5, -3.5)
d)
(2, -2)
60.
Find the missing endpoint  if one endpoint is at (-9, -1) and the midpoint is at (-2, -6).
a)
(5, -11)
b)
(5, -13)
c)
(-5, 11)
d)
(-5, -11)
61.
  Find the missing endpoint if the midpoint is at (2, -5) and one endpoint is at (12, -5).
a)
(2, -5)
b)
(10, -8)
c)
(-8, -5)
d)
(12, -5)
62.
Find the endpoint given the midpoint (3,4) and the other endpoint (-1,6)
a)
(1,5)
b)
(2,10)
c)
(7,2)
d)
(1,2)
63.

Find the missing ENDPOINT given one end point ( 6,2) and the midpoint (-2 , 5)

a)

( 2, 3.5)

b)

( -1, 7)

c)

(-10, 8)

d)

( -5, 4)

64.

Find the missing endpoint

a)

( 0, -2)

b)

( 3, 0)

c)

( -2, 0)

d)

( 0, -3)

65.

Find the missing ENDPOINT given one endpoint (11, 15) and the midpoint ( 3, 8)

a)

( 10, 1)

b)

( -5, 1)

c)

( 7, 21.5)

d)

( 5, 0 )

66.

Find the missing ENDPOINT given the endpoint ( 2, 4) and the midpoint (0, 0)

a)

( -2 , -4)

b)

( 2, 4)

c)

(-2, 4)

d)

(-4, 2)

67.

Suppose a line segment starts at -4 and has a midpoint at 0. What is the value of the other endpoint?

a)

2

b)

5

c)

4

d)

Not enough information

68.

Suppose C is the midpoint of a segment BD. If B is at 1 and C is at 6, what is the coordinate of D?

a)

-2

b)

3.5

c)

11

d)

2

69.

If a segment has one endpoint at (-4, 5) and its midpoint is at (7, -9), what are the coordinates of its other endpoint?

a)

(18, -23)

b)

(13, 18)

c)

(11, 4)

d)

(1.5, -2)

70.

Point M with coordinates (3, 4) is the midpoint of the line segment AB. A has the coordinates (-1, 6). What are the coordinates of B?

a)

(1, 5)

b)

(7, 2)

c)

(2, 10)

d)

(1, 2)

71.
G is the midpoint of HK.  If G is located at (-2, 4) and H is located at (3, 5), find the coordinates of K.
a)
Not Enough Information
b)
(0.5, 4.5) 
c)
(-7, 3)
d)
(2.5, -0.5)
72.

Find the missing endpoint of a segment if the midpoint is at (2, -5) and the other endpoint is at (12, -5).

a)

(2, -5)

b)

(10, -8)

c)

(-8, -5)

d)

(12, -5)

73.
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8)   Midpoint (0,9)
a)
(-9, 10)
b)
(1.5, -1)
c)
(4.5, -0.5)
d)
(8.5, 4.5)
74.

A race starts at coordinates ( -10, -6). There is a water stop halfway through the race at ( 7, 4). What are the coordinates of the finish line?

a)

(-27, -16)

b)

(24, 14)

c)

(-1.5, -1)

d)

(-8.5, -5)

75.
Toni is located halfway between the Pizzeria and the Taco Shop.  Toni is at (-8, 10).  The Pizzeria is located at (-2, 8).  Where is the Taco Shop located?
a)
(-5, 9)
b)
(-3, 1)
c)
(-14, 12)
d)
(18, -12)
76.

A cake was located in the center of a room at (9, -3). A dog was located at (-5, 7). The dog's owner was the same distance from the cake as the dog. Where was the owner located?

a)

(2, 2)

b)

(7, -5)

c)

(13, 1)

d)

(23, -13)

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