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Worksheets

Unit 1 Test Review

Total questions: 90

Worksheet time: 23hrs 30mins

Name
Class
Date
1.

Congruence 1: Which description best fits the definition of an angle?

a)

the shape formed by two rays which meet at a common endpoint

b)

the set of all points equidistant from a given point

c)

two lines on a plane which do not intersect

d)

a line with a start but no endpoint

2.

Congruence 1: Which is a correct definition of perpendicular lines?

a)

a part of a line that is bounded by two distinct endpoints

b)

a set of points that extends indefinitely in two directions

c)

two lines that intersect at a right angle

d)

two lines that never cross

3.

A line is defined by a minimum of how many points?

a)

1 point

b)

2 points

c)

3 points

d)

infinitely many points

4.

which best describes the geometric figure created when 2 distinct, non-parallel lines intersect?

a)

arc

b)

line segment

c)

point

d)

ray

5.

which of these statements describes a ray?

a)

a ray has two points

b)

a ray is part of a line segment

c)

a ray has one end point and extends to infinity in one direction

d)

a ray is a group of points on a straight path that extends to infinity on both sides

6.

consider the definition: a geometric figure formed by two distinct rays that begin at a single point. What geometric figure is being described?

a)

angle

b)

arc length

c)

line segment

d)

point

7.

which statement best describes parallel lines?

a)

parallel lines intersect at exactly one point

b)

parallel lines intersect infinitely many times

c)

parallel lines have equal slopes

d)

parallel lines have negative reciprocal slopes

8.

Lines A and B are parallel. Lines C and D are parallel. Line D is perpendicular to line B. Therefore, line C must be _______ to line A.

a)

collinear

b)

congruent

c)

parallel

d)

perpendicular

9.

which statement best describes perpendicular lines?

a)

perpendicular lines never intersect

b)

perpendicular lines intersect infinitely many times

c)

perpendicular lines have equal slopes

d)

perpendicular lines have negative reciprocal slopes

10.

which of these is true about the figure?

a)

QR represents a line

b)

QRS represents an angle

c)

QS represents a line segment

d)

QRS represents a line

11.

Lines A and B are parallel. Lines C and D are parallel. Line D is perpendicular to line B. Therefore, line C must be ______ to line A.

a)

collinear

b)

congruent

c)

parallel

d)

perpendicular

12.

which of these is true about the figure shown?

a)

m represents a ray

b)

the distance from A to B represents a ray

c)

m represents a line segment

d)

the distance from A to B represents a line segment

13.

Which statement is true?

a)

a line always contains a ray

b)

a line segment always contains a line

c)

a line segment always contains a ray

d)

a ray always contains a line

14.

which statement is true?

a)

a line is a finite portion of a finite line segment that is bound by two distinct endpoints

b)

a line is a finite portion of an infinite line segment that is bound by two distinct endpoints

c)

a line segment is a finite portion of an infinite line that is bounded by two distinct endpoints

d)

a line segment is an infinite portion of a finite line that is bound by two distinct endpoints

15.

two lines are perpendicular if they meet at an angle of ....

a)

0 degrees

b)

45 degrees

c)

90 degrees

d)

180 degrees

16.

which statement is always true?

a)

perpendicular lines have negative reciprocal slopes

b)

perpendicular lines have reciprocal slopes

c)

parallel lines have negative reciprocal slopes

d)

parallel lines have reciprocal slopes

17.

Which statement is true?

a)

angles always form perpendicular lines

b)

Arcs always contain circles

c)

Line segments always contain lines

d)

lines always contain line segments

18.

which statement is true?

a)

parallel lines always intersect

b)

parallel lines always intersect at 90 degree angles

c)

parallel lines never intersect

d)

parallel lines sometimes intersect at 90 degree angles

19.

what is the best definition of a plane?

a)

a plane is a two-dimensional surface defined by at least 2 non-collinear points

b)

a plane is a two-dimensional surface defined by at least 3 non-collinear points

c)

a plane is a three-dimensional surface defined by at least 3 non-collinear points

d)

a plane is a three-dimensional surface defined by at least 4 non-collinear points

20.

Parallel lines m and n are cut by transversal t. Which statement is always true?

a)

∠1 and ∠6 are complementary, and ∠3 and ∠7 are congruent

b)

∠1 and ∠6 are complementary, and ∠3 and ∠7 are supplementary

c)

∠1 and ∠6 are supplementary, and ∠3 and ∠7 are complementary

d)

∠1 and ∠6 are supplementary, and ∠3 and ∠7 are congruent

21.

which statement is true?

a)

Complementary angles always add up to 90 degrees

b)

complementary angles always add up to 180 degrees

c)

complementary angles are always congruent

d)

complementary angles are always vertical angles

22.

what is the equation of the line parallel to

 8x16y=148x-16y=-14  and passing through  (3, 0)\left(3,\ 0\right)  ?

a)

 6x12y=186x-12y=18  

b)

 6x+12y=186x+12y=18  

c)

 12x6y=1812x-6y=-18  

d)

 12x+6y=1812x+6y=-18  

23.

what is the equation of the line that is perpendicular to the line  y=12x+5y=\frac{1}{2}x+5  and passes through the point  (2, 3)\left(-2,\ 3\right)  ?

a)

 y=2x1y=-2x-1  

b)

 y=12x+2y=-\frac{1}{2}x+2  

c)

 y=12x+4y=\frac{1}{2}x+4  

d)

 y=2x+7y=2x+7  

24.

which line is perpendicular to the line  y=2x+5y=2x+5  and passes through the point  (2, 0)\left(2,\ 0\right)  

a)

 y=12x1y=-\frac{1}{2}x-1  

b)

 y=12x+1y=-\frac{1}{2}x+1  

c)

 y=12x1y=\frac{1}{2}x-1  

d)

 y=12x+1y=\frac{1}{2}x+1  

25.
Are these lines parallel?
y = 12x + 4
y = 12x +14
a)
YES
b)
NO
26.

Are these lines parallel?

y = (-1/2)x + 1

y = (1/2)x - 5

a)

YES

b)

NO

27.
What slope is perpendicular to:  
m = 3
a)
-3
b)
-1/3
c)
1/3
d)
3
28.
What slope is perpendicular to:  
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
29.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

a)

y=1/6x +25/6

b)

y = 1/6x + 4

c)

y = -6x - 2

d)

y = -6x + 4

30.

Which of the following lines is PARALLEL to the graph of 5x + 2y = 8?

a)

2x + 5y = 8

b)

5x - 2y = 6

c)

-10x - 4y = 7

d)

-10x + 4y = 9

31.

Determine the equation of the line that is PERPENDICULAR to the line 3x + 12y = 1 and contains the point (-2, 6).

a)

y = 4x + 6

b)

y = 4x + 14

c)

y = 3x + 12

d)

y = -1/4x + 11/2

32.

 y=27x+4y=\frac{-2}{7}x+4  and  y=72x3y=\frac{7}{2}x-3  are parallel lines

a)

True

b)

False

33.

If I am looking for a line parallel to y=3x2y=-3x-2  which one of these equations could it be?

a)

 y=2x1y=-2x-1  

b)

 y=3x4y=3x-4  

c)

 y=3x+6y=-3x+6  

d)

 y=2x3y=-2x-3  

34.

Write the equation of a line PARALLEL to that passes through the point (3, 1).  y=52x+10y=-\frac{5}{2}x+10  

a)

 y=52x + 6y=-\frac{5}{2}x\ +\ 6  

b)

 y =52x+172y\ =-\frac{5}{2}x+\frac{17}{2}  

c)

 y=25x+6y=\frac{2}{5}x+6  

d)

 y=25x+ 8y=\frac{2}{5}x+\ 8  

35.

Write the equation of a line PARALLEL to 5x + 2y = 1 that passes through the point (-2, -3).

a)

y=52x2y=-\frac{5}{2}x-2

b)

y=52x8y=-\frac{5}{2}x-8

c)

y=52x+8y=-\frac{5}{2}x+8

d)

y=25x+195y=\frac{2}{5}x+\frac{19}{5}

36.

Write the equation of a line PERPENDICULAR to 3x + y = 1 that passes through the point (3, -1).

a)

y=13xy=\frac{1}{3}x

b)

y=13x2y=\frac{1}{3}x-2

c)

y=3x+8y=-3x+8

d)

y=13x+103y=\frac{1}{3}x+\frac{10}{3}

37.

Write the equation of a line PERPENDICULAR to -2x + 5y - 3 = 0 that passes through the point (2, -3). 

a)

 =52x112=-\frac{5}{2}x-\frac{11}{2}  

b)

 y=52x+2y=-\frac{5}{2}x+2  

c)

 y=52x+8y=-\frac{5}{2}x+8  

d)

 y=25x+195y=\frac{2}{5}x+\frac{19}{5}   

38.

Select the two lines that are parallel.

a)

y=4x2y=4x-2

b)

y=14xy=-\frac{1}{4}x

c)

y=4x+1y=-4x+1

d)

None are parallel.

39.
A line is perpendicular to    y = 2x - 7.
What is the slope of this line? 
a)
-2
b)
1/2
c)
-1/2
d)
2
40.
What slope is perpendicular to:  
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
41.
What slope is parallel to:  
m = 4
a)
4
b)
-1/4
c)
-4
d)
1/4
42.

what is the slope os a line parallel to the graph of y2=4(x+1)y-2=4\left(x+1\right)  ?

a)

 m=2m=2  

b)

 m=3m=3  

c)

 m=4m=4  

d)

 m=6m=6  

43.

what equation represents the equation for the perpendicular bisector of the line segment joining the two points (-1, 0) and (1, 4)?

a)

y=12xy=\frac{1}{2}x

b)

y=12x+2y=-\frac{1}{2}x+2

c)

y=2xy=2x

d)

y=2x+2y=2x+2

44.

What is the distance between (-5, 3) and (4, -5)?

a)

145\sqrt{-145}

b)

145\sqrt{145}

c)

145

d)

-145

45.
Becky leaves school to go home. She walks 6 blocks North and then 8 blocks west. How far is Becky from the school? 
a)
14 blocks
b)
12 blocks
c)
10 blocks
d)
8.5 blocks
46.
Find the distance between ( 1, 3) and (5, 6) 
a)
3
b)
4
c)
5
d)
6
47.
Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)
a)
(-1, 13)
b)
(13, 1)
c)
(13, -1)
d)
(5, 13)
48.
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)
49.

If point S is the midpoint of segment RT, what conclusion can you make?

a)
b)
c)
d)

It is not possible to make a conclusion from the given information.

50.
What does the word BISECT mean?
a)
To cut something into more than five pieces.
b)
It is a plane with two sets of wings.
c)
A shape that has three sides. 
d)
To cut something into two congruent pieces or in half.
51.
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)
52.
Find the missing endpoint given the midpoint (3,4) and the other endpoint (-1,6)
a)
(1,5)
b)
(2,10)
c)
(7,2)
d)
(1,2)
53.

On a map's coordinate gird, Sara has to walk to Kim's house to pick her up, go to the library, and then go to school. If each unit on the map = 100 feet, how many feet does Sara need to walk to get to school?

a)

2600 feet

b)

2100 feet

c)

1800 feet

d)

1100 feet

54.

Angle 3 and Angle 6 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

55.

Angle 1 and Angle 5 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

56.

Angle 6 and Angle 7 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

57.

Which of the following angles would NOT be congruent to the measure of  7\angle7 ?

a)

 2\angle2  

b)

 3\angle3  

c)

 6\angle6  

d)

 8\angle8  

58.

Which of the following is an example of corresponding angles?

a)

 8 and 4\angle8\ and\ \angle4  

b)

 5 and 7\angle5\ and\ \angle7  

c)

 1 and 7\angle1\ and\ \angle7  

d)

 3 and 5\angle3\ and\ \angle5  

59.

Which of the following is NOT an example of supplementary angles?

a)

 7 and 8\angle7\ and\ \angle8  

b)

 2 and 3\angle2\ and\ \angle3  

c)

 1 and 7\angle1\ and\ \angle7  

d)

 6 and 4\angle6\ and\ \angle4  

60.

If the  m7 = 115°,m\angle7\ =\ 115\degree,  find the measure of  2.\angle2.  

a)

 115°115\degree  

b)

 65°65\degree  

c)

 180°180\degree  

d)

Cannot be determined

61.

If the  m5 = 63°,m\angle5\ =\ 63\degree,  find the measure of  3.\angle3.  

a)

 63°63\degree  

b)

 117°117\degree  

c)

 180°180\degree  

d)

Cannot be determined

62.

If the  m1 = 57°,m\angle1\ =\ 57\degree,  find the measure of  6.\angle6.  

a)

 123°123\degree  

b)

 57°57\degree  

c)

 180°180\degree  

d)

Cannot be determined

63.

Find the value of x if the  m1 = 11x  9°m\angle1\ =\ 11x\ -\ 9\degree and the  m5 = 7x +9°m\angle5\ =\ 7x\ +9\degree .

a)

-4.5

b)

4.5

c)

1

d)

0

64.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
65.
∠2 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
66.

1) Given the two parallel lines cut by a transversal.


What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

67.
a)
15
b)
16
c)
18
d)
19
68.
What is the measure of the missing angle?
a)
39°
b)
129°
c)
119°
d)
129°
69.
A pair of angles that add up to 90º
a)
Complementary
b)
Complimentary
c)
Supplementary
70.
That is a really beautiful sweater you have on today.
You did a fantastic job studying your math vocabulary!
Wow! Your perseverance is exemplary!
a)
Complementary
b)
Complimentary
c)
Supplementary
71.
The line that crosses two parallel lines.
a)
Vertical Angles
b)
Linear Pair
c)
Corresponding Angles
d)
Transversal
72.
Solve for y.
a)
y = 55
b)
y = 35
c)
y = 70
d)
y = 70
73.
What is the value of x?
a)
13
b)
6.2
c)
29.8
74.
How are these angles related?
a)
Vertrical
b)
Complementary 
c)
Adjacent
d)
Supplementary 
75.
The complement of an angle that is 25o. What is the measure of the angle?
a)
75o
b)
5o
c)
55o
d)
65o
76.
Name an angle supplementary to angle EOD. 
a)
Angle BOC
b)
Angle BOE
c)
Angle DOC 
d)
Angle BOA
77.
Which two angles have the same relationship as angles 2 and 3?
a)
Angles 1 & 5
b)
Angles 1 and 4
c)
Angles 1 and 2 
d)
Angles 1 and 3
78.
What is the measure of angle ZAX? 
a)
130o
b)
50o
c)
40o
d)
900
79.
What is the value of x?
a)
29
b)
2
c)
20
80.
If angle RZS measures 35o, what is the measure of angle SZT?
a)
55o
b)
145o
c)
80o
d)
65o
81.
Angles that share a common side and vertex are called...
a)
Vertical Angles
b)
Supplementary Angles
c)
Adjacent Angles
d)
Complementary Angles 
82.
Select the statement that is true if angle 1 is 93o
a)
Angle 2 is 93o
b)
Angle 7 is 93o
c)
Angle 3 is 87o
d)
Angle 8 is 93o
83.
Find the value of x
a)
-5
b)
28
c)
19
d)
-3
84.

Identify the relationship:

a)

vertical

b)

supplementary

85.

Identify the relationship:

a)

vertical

b)

supplementary

86.

Identify the angle relationship between a and b.

a)

alternate interior

b)

corresponding

c)

alternate exterior

87.

Find the measure of angle b.

Hint: Identify the angle relationship.

a)

25

b)

115

c)

65

88.
Angle 1 = 27o
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
89.
What is the value of x?
a)
22
b)
26
c)
24
d)
23
90.
What is the value of x?
a)
60
b)
26
c)
14
d)
10