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Unit 1 Practice Test

Total questions: 87

Worksheet time: 4hrs 35mins

Name
Class
Date
1.

Find the midpoint of the line segment with endpoints (-2,0) & (9,-1).

a)

(1, 3)

b)

(3.5, -.5)

c)

(-.5, 3.5)

d)

(6, -.5)

2.
B is the midpoint of AC.  Find AB.
a)
2
b)
16
c)
8
d)
4
3.

If T is the midpoint of SU, find x.

(a)  

4.

Given two points (x1, y1), (x2, y2) the distance between them is:

a)
b)
c)
d)
5.

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

a)
b)
c)
d)
6.

The length between (3, 8) and (-2, -4) is ______?

d=(x2−x1)2+(y2−y1)2d=\sqrt{\left(x_2^{ }-x_1\right)^2+\left(y_2-y_1\right)^2}  

a)

√17

b)

13

c)

17

d)

169

7.

What is the distance between JK, where J(4,3) and K(2, -3)?

d=(x2−x1)2+(y2−y1)2d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}  

a)

√ ̅3̅2̅

b)

40

c)

32

d)

√ ̅4̅0̅

8.
How far is point A from point B?
a)
7.1
b)
7.8
c)
8.7
d)
8.9
9.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
10.
Find the distance between the points (4, 3) and (0, 6).
a)
3
b)
4
c)
5
d)
7
11.

What is the midpoint between (3, -1) and (7, -5)?

(x1+x22,y1+y22)\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)  

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

12.

What is the midpoint between (3, -1) and (7, -5)?

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

13.

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)

14.

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)

15.

What is the midpoint between (3, -1) and (7, -5)?

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

16.

Find the midpoint of the line segment with endpoints (-2,0) & (9,-1).

a)

(1, 3)

b)

(3.5, -.5)

c)

(-.5, 3.5)

d)

(6, -.5)

17.

Find the y-coordinate of the midpoint of the line.

a)

1

b)

2

c)

-2

d)

3

18.

What is the midpoint between (3, -1) and (7, -5)?

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

19.
Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?
a)
(1,5)
b)
(2,10)
c)
(7,2)
d)
(1,2)
20.
Find the y-coordinate of the midpoint of the line
a)
1
b)
2
c)
-2
d)
3
21.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
22.
What is the center of MN given M(3, -1) and N(7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
23.
What point is halfway between (3, -1) and (8, -6)?
a)
(11, -7)
b)
(-5.5, -3.5)
c)
(5.5, -3.5)
d)
(2, -2)
24.
What is the midpoint between (-4,4) and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
25.

What is the midpoint of the segment with endpoints (1, 9) and (-3, 5)?

a)

(-1, 7)

b)

(2, 7)

c)

(7, -1)

d)

(2, 2)

26.

How is the distance formula correctly written:

a)

d = (y1 − y2)2 −(x2 − x1)2 d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\

b)

d = (x2 − x1)2 + (y2 − y1 )2d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)2}

c)

d = (y1 − y 2)2 + (x2 − x1)2d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2

d)

d = (x)2− (y)2\sqrt{\left(x\right)^2-\ \left(y\right)^2}

27.

A(3,1) B(-2,-1) written correctly is:

a)

(−2−3)2 + (−1−1)2\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}

b)

(1−3)2 + (−1−2)2\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}

c)

(−2−3)2 − (−1−1)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

d)

(−2−3)2 − (−1−1)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

28.

A(2,0) B(-2,4) is written as

a)

d = (4−2)2 − (0−2)2d\ =\ \sqrt{\left(4-2\right)^2\ -\ \left(0-2\right)^2}

b)

d = (4−0)2 − (−2−2)2d\ =\ \sqrt{\left(4-0\right)^2\ -\ \left(-2-2\right)^2}

c)

d = (−2 +0)2 + (4+2)2d\ =\ \sqrt{\left(-2\ +0\right)^2\ +\ \left(4+2\right)^2}

d)

d = (−2−2)2 + (4−0)2d\ =\ \sqrt{\left(-2-2\right)^2\ +\ \left(4-0\right)^2}

29.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
30.
Find the distance between (3, 24) and (7, 56).
a)
32.1
b)
32.2
c)
32.4
d)
33.2
31.
Find the distance between (-5, -8) and (-1, -16).
a)
8.9
b)
9.8
c)
10.3
d)
11
32.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
33.
Find the distance between ( 1, 3) and (5, 6) 
a)
3
b)
4
c)
5
d)
6
34.
Find the distance between (-5, -8) and (-1, -16).
a)
8.9
b)
9.8
c)
10.3
d)
11
35.
Find the distance between (-4, 5) and (7, 18).
a)
15.96
b)
16.08
c)
16.23
d)
17.03
36.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
37.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
38.
Find the distance between (-12, 1) and (12, -1).
a)
24.05
b)
24.06
c)
24.07
d)
24.08
39.
Find the distance between (-5, -8) and (-1, -16).
a)
8.9
b)
9.8
c)
10.3
d)
11
40.
Find the distance between (2, -75) and (10, 235).
a)
305.5
b)
308.6
c)
310.1
d)
315.3
41.
Find the distance between (3, 24) and (7, 56).
a)
32.1
b)
32.2
c)
32.3
d)
32.4
42.
Find the distance between (-3, -11) and (8, -42).
a)
32.1
b)
32.3
c)
32.7
d)
32.9
43.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
44.
Find KL.
a)
18
b)
15
c)
6
d)
20
45.
Given that A is between B and C, which Segment Addition statement is correct?
a)
AB + BC = AC
b)
BC + BA = BC
c)
BA + AC = BC
d)
AB + BC = AC
46.
Find KL.
a)
18
b)
15
c)
6
d)
20
47.

Find the length indicated.

(a)  

48.

Find the length indicated.

(a)  

49.

Find the length indicated.

(a)  

50.

Write an equation that correctly models the lengths shown.

a)

2x + 20 + x + 21 = 9

b)

2x + 20 + 9 = x + 21

c)

9 + x + 21 = 2x + 20

d)

2x + 20 - 9 = x + 21

51.

Write an equation that correctly models the lengths shown.

a)

3x + 2 + 6 = 2x - 2

b)

2x - 2 + 6 = 3x + 2

c)

6 - 3x - 2 = 2x - 2

d)

2x + 2 + 3x + 2 = 6

52.

Write an equation that could be used to relate the lengths of the segments shown.

a)

8 + x + 3 = -17 + 2x

b)

x + 3 + -17 + 2x = 8

c)

8 + -17 + 2x = x + 3

53.

Write an equation that could be used to relate the lengths of the segments shown.

a)

9 - x = 2x - 19

b)

9 + x = 2x -19

c)

x + 2x - 19 = 9

d)

9 + 2x - 19 = x

54.

What is the value of x?

a)

x= 8

b)

x= 3

c)

x= 4

d)

x= 12

55.
Find AC
a)
7
b)
8
c)
22
d)
23
56.

If RT=36, find the value of x.

a)

3

b)

4

c)

5

d)

6

57.

If HJ=7x-27, find the value of x.

a)

4

b)

5

c)

6

d)

7

58.

If DF=9x-39, find EF.

a)

16

b)

58

c)

116

d)

23

59.

If AB = 2x+3, BC = 3x-5, and AC = 38, what is the value of x ?

a)

11

b)

12

c)

8

60.

If R is the midpoint of segment QS, find QS.

a)

4

b)

6

c)

17

d)

34

61.

Given the diagram, which is correct?

a)

BC+CD=BD

b)

BD+BC=CD

c)

BD+BC=BC

d)

BC+BD=CD

62.
Find AC
a)
7
b)
8
c)
22
d)
23
63.

If RT=36, find the value of x.

a)

3

b)

4

c)

5

d)

6

64.

If G is the midpoint of segment FH, find FG.

a)

15

b)

30

c)

12

d)

24

65.
a)
4
b)
5
c)
8
d)
6
66.

Write an equation that correctly models the lengths shown.

a)

2x + 20 + x + 21 = 9

b)

2x + 20 + 9 = x + 21

c)

9 + x + 21 = 2x + 20

d)

2x + 20 - 9 = x + 21

67.
What is the measure of the following angle?  
a)
21 degrees.
b)
34 degrees.
c)
70 degrees.
d)
172 degrees. 
68.

Solve

a)

25°

b)

125°

c)

145°

d)

45°

69.
Find the value of ∠A.
a)
25 degrees
b)
30  degrees
c)
35 degrees
d)
90 degrees
70.
Find the value of ∠A.
a)
39 degrees
b)
49 degrees
c)
51 degrees
d)
59 degrees
71.
What is m∠ABD
a)
80
b)
120
c)
20
d)
100
72.

Calculate m∠ABC.

a)

45°

b)

60°

c)

105°

d)

15°

73.

Calculate m∠DEF.

a)

180°

b)

60°

c)

120°

d)

80°

74.
a)

x = 6°

b)

x = 7°

c)

x = 12°

d)

x = 144°

75.
a)

x = 5°

b)

x = 11°

c)

x = 33°

d)

x = 55°

76.
a)

50°

b)

58°

c)

115°

d)

226°

77.

If m∠RST = (12x -1)°, m∠RSU = (9x -15)°,

and m∠UST = 53°, find each measure.

a)

x = 13

m∠RST = 155°

m∠RSU = 102°

b)

x = 3

m∠RST = 35°

m∠RSU = 12°

c)

x = 22

m∠RST = 263°

m∠RSU = 183°

d)

x = 8

m∠RST = 95°

m∠RSU = 57°

78.
Find the value of ∠A.
a)
25 degrees
b)
30  degrees
c)
35 degrees
d)
90 degrees
79.
a)

x = 5°

b)

x = 11°

c)

x = 33°

d)

x = 55°

80.
What is another name for ∠H
a)
∠KGH
b)
∠LGH
c)
∠LHG
d)
∠K
81.
a)

240

b)

660

c)

420

d)

180

82.
a)

370

b)

1490

c)

750

d)

1120

83.
a)

46

b)

130

c)

10

d)

176

84.
a)

85

b)

131

c)

46

d)

12

85.
a)

380

b)

80

c)

300

d)

1300

86.
a)

80

b)

280

c)

1200

d)

1480

87.
a)

20

b)

-20

c)

-300

d)

300