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Worksheets

Unit 1 Test Review

Total questions: 61

Worksheet time: 1hrs 29mins

Name
Class
Date
1.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
2.
Find the distance between ( 1, 3) and (5, 6) 
a)
3
b)
4
c)
5
d)
6
3.
Find the distance between (3, 24) and (7, 56).
a)
32.1
b)
32.2
c)
32.3
d)
32.4
4.
What is the distance between (2,9) and (1,5)?
a)
15
b)
17
c)
4.12
d)
3.87
5.

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}

6.

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}

7.

Use the Distance Formula to find the distance between:

(8,8) and (3,-4)

(a)  

8.

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

a)
b)
c)
d)
9.

The middle of a line is called the _______________.

a)

endpoint

b)

midpoint

c)

slope

d)

distance

10.

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)

11.
What is the midpoint between (-4,4) and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
12.

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)

13.

Which figure below illustrates the statement "J is the midpoint of segment DK"?

a)
b)
c)
d)
14.

What is the distance between AB

a)

0

b)

8

c)

9

d)

7

15.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
16.
What formula do you use to measure the entire length of a diagonal? 
a)
midpoint formula
b)
slope
c)
distance formula
d)
midpoint theory
17.
a)

1/6

b)

1

c)

-1/6

d)

-1

18.
a)

1/-2

b)

5/14

c)

1/2

d)

-1/2

19.

Find the slope of the line that goes through the points


(−11,−5) and (1,−12)

a)

−58-\frac{5}{8}

b)

1611\frac{16}{11}

c)

16\frac{1}{6}

d)

−712-\frac{7}{12}

20.

Find the slope of the line that goes through the points


(−1,−2) and (−3,−4).

a)

1

b)

2

c)

3

d)

4

21.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
22.
What type of slope?
a)
zero slope
b)
undefined
c)
negative
d)
positive
23.

What does "m" stand for in the slope formula?

a)

y axis

b)

slope

c)

y coordinate

d)

x coordinate

24.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
25.

Which is the correct setup to find the slope of a line that goes through the points (6,2) and (-8,12)

a)

12−6−8−2\frac{12-6}{-8-2}  

b)

12−2−8−6\frac{12-2}{-8-6}  

c)

−8−612−2\frac{-8-6}{12-2}  

d)

6+812−2\frac{6+8}{12-2}  

26.

Which is the correct setup to find the slope of a line that goes through the points (6,2) and (-8,12)

a)

12−6−8−2\frac{12-6}{-8-2}  

b)

12−2−8−6\frac{12-2}{-8-6}  

c)

−8−612−2\frac{-8-6}{12-2}  

d)

6+812−2\frac{6+8}{12-2}  

27.

Which is the correct setup to find the slope of a line that goes through the points (4,-7) and (6,-2)

a)

−2−(−7)6−4\frac{-2-\left(-7\right)}{6-4}  

b)

−2−76−4\frac{-2-7}{6-4}  

c)

−7−24−6\frac{-7-2}{4-6}  

d)

−2−46−(−7)\frac{-2-4}{6-\left(-7\right)}  

28.

Two angles with a sum of 90 degrees

a)
Supplementary
b)
Complementary
c)
Right
d)
Vertical
29.

Angles whose measure sum up to 180 degrees.

a)

Vertical

b)

Adjacent

c)

Complementary

d)

Supplementary

30.

What is the measure of the missing angle?

a)

60°60\degree  

b)

70°70\degree  

c)

50°50\degree  

d)

140°140\degree  

31.
What is the measure of the missing angle?
a)

82 degrees

b)

72 degrees

c)

43 degrees

d)

52 degrees

32.

What is the measure of angle x?

a)
20o
b)
70o
c)
160o
d)
180o
33.

What is the measure of the unidentified angle?

a)

43 degrees

b)

157 degrees

c)

57 degrees

d)

67 degrees

34.
What is the measure of the missing angle?
a)

76 degrees

b)

86 degrees

c)

166 degrees

d)

156 degrees

35.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
36.

Which equation would you use to solve for the missing angle measure?

a)

x + 115 = 180

b)

x + 115 = 90

c)

x + 115 = 115

d)

x + 115 = 270

37.

What equation could be used to solve for the missing angle measure?

a)

x + 19 = 180

b)

x + 19 = 19

c)

x + 19 = 60

d)

x + 19 = 90

38.

Find the supplementary angle for 104 degrees...

a)

70 degrees

b)

74 degrees

c)

76 degrees

39.
What is an example of a pair of complementary angles?
a)
13° and 45°
b)
10° and 170°
c)
81° and 9°
d)

90° and 90°

40.
If ∠H and ∠J are complementary, and the measure of ∠H is 35°, what is the measure of ∠J?
a)
145
b)
55
c)
60
d)
65
41.
If ∠A and ∠B are supplementary, and the measure of ∠A is 120°, what is the measure of ∠B?
a)
180
b)
50
c)
60
d)
80
42.
 What is the measure of angle B?
a)
100°
b)
80°
c)
90°
d)
180°
43.
Name the vertical angle to
∠h.
a)
∠f
b)
∠i
c)
∠g
d)
∠j
44.

∠1 and ∠2 are _____________

a)

Complementary

b)

Supplementary

c)

Adjacent

d)

Vertical

45.

What angle is adjacent and supplementary to angle 5?

a)

∠4

b)

∠1

c)

∠3

d)

∠2

46.

Which equation will help you solve for x?

a)

2x=x+92x=x+9  

b)

2x+x+9=1802x+x+9=180  

c)

2x+x+9=902x+x+9=90  

47.
Find what the value of x.
a)
15
b)
30
c)
45
d)
60
48.

Which equation will help you solve for x?

a)

9x+3x=909x+3x=90  

b)

9x+3x=1809x+3x=180  

c)

9x=3x9x=3x  

49.

Name the angle relationship. 

a)
Complementary
b)
Supplementary
c)
Adjacent
d)
Vertical
50.

Calculate m∠ABC.

a)

45°

b)

60°

c)

105°

d)

15°

51.

Calculate m∠DEF.

a)

180°

b)

60°

c)

120°

d)

80°

52.
a)

x = 6°

b)

x = 7°

c)

x = 12°

d)

x = 144°

53.
a)

x = 5°

b)

x = 11°

c)

x = 33°

d)

x = 55°

54.
a)

50°

b)

58°

c)

115°

d)

226°

55.

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°

56.
Find the value of ∠A.
a)
25 degrees
b)
30  degrees
c)
35 degrees
d)
90 degrees
57.
What is another name for ∠H
a)
∠KGH
b)
∠LGH
c)
∠LHG
d)
∠K
58.

∠1 and ∠2 form a linear pair.

If m∠1 = (5x + 9)° and m∠2 = (3x + 11)°, find the measure of each angle.

a)

m∠1 = 110° and m∠2 = 70°

b)

m∠1 = 109° and m∠2 = 71°

c)

m∠1 = 70° and m∠2 = 110°

d)

m∠1 = 71° and m∠2 = 109°

59.

∠K and ∠L are complementary angles.

If m∠K = (3x + 3)° and m∠L = (10x -- 4)°, find the measure of each angle.

a)

m∠K = 24° and m∠L = 66°

b)

m∠K = 66° and m∠L = 24°

c)

m∠K = 40° and m∠L = 50°

d)

m∠K = 30° and m∠L = 60°

60.

Name a point in the interior of <PQR.

a)

P

b)

Q

c)

W

d)

R

61.
a)

43 and 86

b)

20 and 40

c)

5 and 10

d)

86 and 172