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Term 1 Basic Geometry Review

Total questions: 151

Worksheet time: 13hrs 35mins

Name
Class
Date
1.

Give another name for line k.

a)

Line BC

b)

Line BCE

c)

Line ED

d)

Line k is the only name, there isn't another name.

2.

Give another name for line k.

a)

Line BC

b)

Line BCE

c)

Line ED

d)

Line k is the only name, there isn't another name.

3.
A plane containing point A.
a)
Plane DEA
b)
Plane k
c)
Plane CDF
d)
Plane F
4.
Points that lie on the same plane are ________. 
a)
collinear
b)
coplanar
c)
parallel
d)
perpendicular
5.
A _______ consists of an infinite number of points which form a flat surface that extends in all directions forever.
a)
Point
b)
Line
c)
Line segment
d)
Plane
6.

Name 3 collinear points

a)

M, N, H

b)

K, N, O

c)

H, N, r

d)

K, I, N

7.

A line that contains point M.

a)

Line q

b)

Line p

c)

Line r

d)

Line NH

8.
What is a point?
a)
your finger tip
b)
an exact location in space
c)
a poke
d)
the end of your pencil
9.
A line is named by...
a)
Any 2 points on the line, or a lowercase script letter.
b)
Any 3 points on the line.
c)
Any 1 point on the line.
d)
Any 3 points on the line, or a uppercase script letter.
10.
A plane is named by...
a)
Any 1 point on the plane.
b)
Any 3 collinear points on the plane or a lowercase script letter.
c)
Any 3 non-collinear points on the plane or an uppercase script letter.
d)
All points on the plane that aren't part of a line.
11.
Identify this geometric figure
a)
Point
b)
Line
c)
Ray
d)
Plane
12.
Identify this geometric figure
a)
Point
b)
Line
c)
Line segment
d)
Plane
13.
Identify this geometric figure
a)
Point
b)
Plane
c)
Line
d)
Ray
14.
Points that lie on the same line are _________.
a)
coplanar
b)
collinear
c)
parallel
d)
perpendicular
15.

Name 4 coplaner points.

a)

X, W, R, Y

b)

V, Z, X, Y

c)

V, W, X, Y

d)

None of these.

16.

Where does plane M intersect line j.

a)

on all points on line j

b)

E

c)

A

d)

M

17.

How would you describe points I, L, C?

a)

collinear but not coplanar

b)

collinear and coplanar

c)

not coplanar and not collinear

d)

coplanar but not collinear

18.

In geometry, two planes intersect....

a)

in a line

b)

at a point

c)

in a plane

d)

in two points

19.

Which description BEST describes this figure?

a)

Two lines and a plane intersect at a point.

b)

A plane intersects two parallel lines.

c)

two planes intersect in a line.

d)

A plane contains A, B, and C but not D and E.

20.

Which of the following statements is NOT true?

a)

F, E, G, and D are noncoplanar

b)

F, E, and G are collinear

c)

l and m intersect at D.

d)

Q and l intersect at E.

21.

Where does line l intersect plane Q?

a)

F

b)

E

c)

I

d)

D

22.

Where does line plane P intersect Plane Q?

a)

They do not intersect.

b)

E

c)

line l

d)

line FG

23.

Which is NOT another name for line j?

a)

line DE

b)

line FE

c)

line EB

d)

Line DF

24.

How many lines are in Plane Z?

a)

2

b)

1

c)

4

d)

Infinitely many

25.
a)
b)
c)
d)
26.

Two lines that never intersect are called....

a)

parallel

b)

perpendicular

c)

coincident

d)

planes

27.

Name this line.

a)

AB\overrightarrow{AB}

b)

AB\overline{AB}

c)

AB\overleftarrow{A}\overrightarrow{B}

d)

BA\overleftarrow{BA}

e)

CB\overleftarrow{C}\overrightarrow{B}

28.

Name a ray:

a)

AB\overline{AB}

b)

BA\overrightarrow{BA}

c)

AB\overleftarrow{A}\overrightarrow{B}

d)

AB\overrightarrow{AB}

29.

Name this line.

a)

CB\overrightarrow{CB}

b)

CB\overline{CB}

c)

ABC\overleftarrow{A}\overrightarrow{BC}

d)

BC\overleftarrow{B}\overrightarrow{C}

e)

CB\overleftarrow{C}\overrightarrow{B}

30.

Name a Segment:

a)

AB\overline{AB}  

b)

BC\overline{BC}  

c)

CD\overline{CD}  

d)

AD\overline{AD}  

31.

Name this plane:

a)

Plane AEh

b)

Plane g

c)

Plane F

d)

Plane CBD

32.

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  y2)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}

33.

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

a)

(23)2 + (11)2\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}

b)

(13)2 + (12)2\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}

c)

(23)2  (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

d)

(23)2  (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

34.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
35.
Find the distance between (-3, -11) and (8, -42).
a)
32.1
b)
32.3
c)
32.7
d)
32.9
36.

Find the midpoint:

a)

(1,3)\left(-1,-3\right)

b)

(2,32)\left(-2,-\frac{3}{2}\right)

c)

(1,52)\left(-1,-\frac{5}{2}\right)

d)


(52,1)\left(-\frac{5}{2},-1\right)

37.

Find the midpoint:

a)

(32,52)\left(-\frac{3}{2},-\frac{5}{2}\right)

b)

(1,3)\left(-1,-3\right)

c)

(12,52)\left(-\frac{1}{2},-\frac{5}{2}\right)

d)

(3,1)\left(-3,-1\right)

38.

Find the midpoint of the line segment with the given endpoints.

(0, 2), (-2, -8)

a)

(1, 5)

b)

(-4, -18)

c)

(-1, -3)

d)

(1, -5)

39.

Find the midpoint of the line segment with the given endpoints.

(0, -3), (-2, -4)

a)

(-1.5, -3)

b)

(1, 0.5)

c)

(-1, -3.5)

d)

(-4, -5)

40.

Find the midpoint of the line segment with the given endpoints.

(8, 6), (1, 0)

a)

(3.5, 3)

b)

(7, 0.5)

c)

(-6, -6)

d)

(4.5, 3)

41.

Find the midpoint of the line segment with the given endpoints.

(8, -1), (6, -1)

a)

(4, -1)

b)

(7, -1)

c)

(1, 0)

d)

(3.5, 2.5)

42.

Find the midpoint of the line segment with the given endpoints.

(-6, -1), (-6, -3)

a)

(-3.5, -4.5)

b)

(-6, -5)

c)

(-6, -2)

d)

(0, 1)

43.

What angle corresponds to 4\angle4 ?

a)

4\angle4

b)

5\angle5

c)

3\angle3

d)

2\angle2

44.

What angle corresponds to 1\angle1 ?

a)

4\angle4

b)

5\angle5

c)

3\angle3

d)

2\angle2

45.

What angle corresponds to  1\angle1  ?

a)

4\angle4  

b)

5\angle5  

c)

8\angle8  

d)

2\angle2  

46.

What angle corresponds to  6\angle6  ?

a)

4\angle4  

b)

5\angle5  

c)

8\angle8  

d)

7\angle7  

47.

What angle corresponds to  7\angle7  ?

a)

4\angle4  

b)

5\angle5  

c)

8\angle8  

d)

7\angle7  

48.

What angle corresponds to  3\angle3  ?

a)

4\angle4  

b)

5\angle5  

c)

8\angle8  

d)

7\angle7  

49.

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

50.

Which angle is a vertical angle to with 7\angle7  ?

a)

1\angle1  

b)

5\angle5  

c)

3\angle3  

d)

6\angle6  

e)

9\angle9  

51.

Which angle is congruent (equal) to the marked 

54°54\degree  angle?

a)

1\angle1  

b)

2\angle2  

c)

3\angle3  

52.

What is the measure of angle y?

a)

76

b)

104

53.

What is the measure of the missing angle

a)

47

b)

133

54.

Are these vertical angles?

a)

yes

b)

no

55.

Are these vertical angles?

a)

yes

b)

no

56.

Are these Vertical Angles?

a)

yes

b)

no

57.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
58.

Check all TRUE statements.

a)

These angles are congruent.

b)

These angles are not congruent.

c)

These angles are adjacent.

d)

These angels are non-adjacent.

59.

Check all TRUE statements.

a)

The name of this angle is ZYX\angle ZYX

b)

The name of this angle is Y\angle Y

c)

The name of this angle is YXZ\angle YXZ

d)

The name of this angle is 53°\angle53\degree

e)

The name of this angle is XYZ\angle XYZ

60.

Which statement is TRUE?

a)

These are congruent angles.

b)

These are supplementary angles.

c)

These are complementary angles.

d)

These are adjacent angles.

e)

These are vertical angles.

61.

Check all TRUE statements.

a)

These are non-adjacent angles.

b)

These are adjacent angles.

c)

These are supplementary angles.

d)

These angles form a linear pair.

e)

These are congruent angles.

62.

Which statement is TRUE?

a)

These angles are congruent.

b)

These angles are complementary.

c)

These angles are adjacent.

d)

These are supplementary.

63.

Check all TRUE statements.

a)

ABD+DCB=CBA\angle ABD+\angle DCB=\angle CBA

b)

mCBD+mABD=mABCm\angle CBD+m\angle ABD=m\angle ABC

c)

BCA\angle BCA has been bisected.

d)

BD\overline{BD} is the angle bisector.

e)

ABDABC\angle ABD\cong\angle ABC

64.

Check all TRUE statements.

a)

Line l & Line mLine\ l\ \&\ Line\ m  are intersecting lines.

b)

13\angle1\cong\angle3  

c)

2+4=180°\angle2+\angle4=180\degree  

d)

2 & 3\angle2\ \&\ \angle3  are supplementary angles.

e)

2 & 4\angle2\ \&\ \angle4  are vertical angles.

65.

Adjacent angles can be...

(select all that apply)

a)

congruent

b)

non-congruent

c)

supplementary

d)

complementary

e)

vertical

66.

Supplementary angles can be...

(check all that apply)

a)

congruent

b)

adjacent

c)

non-adjacent

d)

vertical

e)

non-congruent

67.

Congruent angles can be...

(check all that apply)

a)

non-adjacent

b)

different measures

c)

adjacent

d)

supplementary

e)

complementary

68.

What type of angles are these?

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

69.

What type of angles are these? (select 3)

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

70.

Supplementary angles always add up to

(a)  

71.

Complementary angles always add up to

(a)  

72.

Which angles are vertical angles?

a)

8 & 7\angle8\ \&\ \angle7

b)

8 & 6\angle8\ \&\ \angle6

c)

8 & 5\angle8\ \&\ \angle5

73.

Which angle is complementary to LJM\angle LJM  

a)

MJN\angle MJN  

b)

NJP\angle NJP  

c)

FGE\angle FGE  

d)

LJK\angle LJK  

74.

Which of the following angles is  90°90\degree  ?

a)

FGH\angle FGH  

b)

KJL\angle KJL  

c)

PJK\angle PJK  

d)

EGH\angle EGH  

75.

Which angle is a linear pair with 1\angle1  ?

a)

2\angle2  

b)

3\angle3  

c)

4\angle4  

d)

5\angle5  

e)

6\angle6  

76.

Which angle is a vertical angle to with 7\angle7  ?

a)

1\angle1  

b)

5\angle5  

c)

3\angle3  

d)

6\angle6  

e)

9\angle9  

77.

Which angles are non-adjacent with 8\angle8  ?
 (mark all that apply)

a)

9\angle9  

b)

3\angle3  

c)

7\angle7  

d)

6\angle6  

e)

1\angle1  

78.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
79.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
80.
The angle relationship shown is - 
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
81.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
82.
Find the value of x.
a)
38°
b)
52°
c)
142°
d)
152°
83.
Identify the type of angle shown.
a)
Complementary
b)
Supplementary
84.
Supplementary Angles measure _____ degrees.
a)
180
b)
55
c)
100
d)
90
85.
State the angle relationship and find the measure of angle 1
a)
Corresponding
110
b)
Alternate Exterior
110
c)
Corresponding
70
d)
Alternate Exterior
70
86.
State the angle relationship and find the measure of angle 1
a)
Alternate Interior
37
b)
Alternate Interior
143
c)
Corresponding
143
d)
Corresponding
37
87.
If lines are parallel, then alternate interior angles are _____________
a)
congruent
b)
parallel
c)
complementary
d)
supplementary
88.
What word describes line Z?
a)
Transversal
b)
Parallel
c)
Corresponding
d)
Same side interior
89.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
90.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
91.
Angle 1 = 27o
Find the measure of angle 2
a)
27o
b)
153o
c)
63o
d)
90o
92.
Find L
a)
∠L=51°
b)
∠L=129°
c)
∠L=180°
d)
∠L=39°
93.
Find C 
a)
∠C=116°
b)
∠C=64°
c)
∠C=180°
d)
∠C=26°
94.
What is the supplement angle to 45°?
*REMEMBER WHAT SUPPLEMENTARY ANGLES ADD TOO!
a)
45°
b)
180°
c)
135°
d)
100°
95.
a)
100°
b)
80°
c)
90°
d)
180°
96.
State the angle relationship and find the measure of angle 1
a)
Alternate Interior
49
b)
Same Side Interior
131
c)
Same Side Interior
49
d)
Alternate Interior
131
97.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
98.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
 Corresponding
d)
Vertical Angles
99.
Name the angle relationship.
a)
Consecutive Interior
b)
Alternate Interior
c)
Corresponding
d)
Vertical Angles
100.
What type of angle pair is ∠1 and ∠3?
a)
alternate interior angles
b)
 supplementary angles
c)
corresponding angles
d)
vertical angles 
101.
What is the measure of ∠2?
a)
38
b)
58
c)
71
d)
142
102.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
103.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
104.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
105.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
106.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles
107.
Angles 4 and 6 are
a)
Corresponding
b)
Alternate Interior
c)
Alternate Exterior
d)
Vertical
108.
Angles 2 and 8 are
a)
Corresponding
b)
Alternate Interior
c)
Alternate Exterior
d)
Vertical
109.
Angles 4 and 5 are
a)
Consecutive interior
b)
Alternate Interior
c)
Alternate Exterior
d)
Vertical
110.
State the angle relationship and find the measure of angle 1
a)
Corresponding
110
b)
Alternate Exterior
110
c)
Corresponding
70
d)
Alternate Exterior
70
111.
What word describes line Z?
a)
Transversal
b)
Parallel
c)
Corresponding
d)
Same side interior
112.
State the angle relationship and find the measure of angle 1
a)
Alternate Interior
37
b)
Alternate Interior
143
c)
Corresponding
143
d)
Corresponding
37
113.
State the angle relationship and find the measure of angle 1
a)
Alternate Interior
49
b)
Consecutive Interior
131
c)
Same Side Interior
49
d)
Alternate Interior
131
114.
What is the value of x?
a)
60
b)
26
c)
14
d)
10
115.

What is x?

a)

55

b)

155

c)

20

d)

45

116.
If angle 4 is x + 15 and angle 2 is 3x - 5, what is the value of x?
a)
5
b)
10
c)
25
d)
x + 15
117.
Name the angle relationship.
a)
Consecutive Interior
b)
Corresponding
c)
Alternate Interiors
d)
Linear Pairs
118.
Identify the angle relationship between angles 4 & 6
a)
Corresponding
b)
Alternate Interior
c)
Alternate Exterior
d)
Consecutive Interor
119.

Are these lines parallel?

y = (-1/2)x + 1

y = (1/2)x - 5

a)

YES

b)

NO

120.
Are these lines parallel?
y = 12x + 4
y = 12x +14
a)
YES
b)
NO
121.
If two lines are parallel their slopes are  ____________
a)
the same.
b)
negative reciprocals of each other.
122.

If two lines are perpendicular to each other their slopes are ____________

a)

the same.

b)

negative reciprocals of each other.

123.
Are these lines perpendicular?
y = 4x + 2
y = (-1/4)x + 12
a)
YES
b)
NO
124.
Are these lines perpendicular?
y = (1/2)x + 2
y = -2x + 13
a)
YES
b)
NO
125.

Convert the standard form equation into slope-intercept form.

6x - 7y = -35

a)

y=76x5y=\frac{7}{6}x-5

b)

y=67x+5y=\frac{6}{7}x+5

c)

y=57x6y=\frac{5}{7}x-6

d)

y=67x5y=-\frac{6}{7}x-5

126.

REVIEW: What is the slope of the line:  y=23x+4y=\frac{2}{3}x+4  

a)

23\frac{2}{3}  

b)

23-\frac{2}{3}  

c)

32\frac{3}{2}  

d)

44  

e)

4-4  

127.

Which two lines are parallel?

a)

y=37x25y=\frac{3}{7}x-25

b)

y=37x+2y=\frac{3}{7}x+2

c)

y=73x25y=\frac{7}{3}x-25

d)

y=3x+13y=3x+13

e)

y=7x+9y=7x+9

128.

What is the reciprocal of:  85\frac{8}{5}  

a)

85\frac{8}{5}  

b)

85-\frac{8}{5}  

c)

58-\frac{5}{8}  

d)

58\frac{5}{8}  

129.

Which two lines are perpendicular?

a)

y=37x25y=\frac{3}{7}x-25

b)

y=37x+2y=-\frac{3}{7}x+2

c)

y=73x25y=-\frac{7}{3}x-25

d)

y=3x+13y=3x+13

e)

y=7x+9y=7x+9

130.

Which line is perpendicular to the line:  5x+6y=125x+6y=12  

a)

y=56x2y=-\frac{5}{6}x-2  

b)

y=56x+13y=\frac{5}{6}x+13  

c)

y=65x+11y=\frac{6}{5}x+11  

d)

y=65x100y=-\frac{6}{5}x-100  

131.
Find the slope of the line that passes through:
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
132.
Find the slope of the line that passes through: 
(2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
133.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
134.
Slope is know as rise/
a)
run
b)
fall
c)
none
d)
rise
135.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
136.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
137.

What does "b" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

138.

What is the slope of the line with the equation
y = 32x + 4y\ =\ -\frac{3}{2}x\ +\ 4  

a)

32-\frac{3}{2}  

b)

32\frac{3}{2}  

c)

44  

d)

4-4  

139.

What is the y-intercept of the line with the equation
y = 2x + 4y\ =\ -2x\ +\ 4  

a)

2-2  

b)

22  

c)

44  

d)

4-4  

140.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
141.

Graph the line with the equation
y = 13x  4y\ =\ -\frac{1}{3}x\ -\ 4  

a)
b)
c)
d)
142.

Are these two lines parallel, perpendicular or neither?

y = -1/4 x - 5

y = 4x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

143.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
144.

Classify the triangle shown in the picture by its angles.

a)

Obtuse

b)

Right

c)

Acute

d)

Equilateral

145.

Classify the triangle shown in the picture by its sides.

a)

Equilateral

b)

Scalene

c)

Obtuse

d)

Isosceles

146.

Classify the triangle shown in the picture by its sides.

a)

Isosceles

b)

Obtuse

c)

Equilateral

d)

Scalene

147.

Solve for x

a)

x = 12

b)

x = 4

c)

x = 3.33

d)

x = 10

148.

Find the measure of Angle A.

a)

40°40\degree

b)

140°140\degree

c)

80°80\degree

d)

100°100\degree

149.

Use the Exterior Angle Theorem to find the value of x.

a)

117

b)

94

c)

149

d)

31

150.

Find the measure of  T\angle\ T  

a)

71

b)

98

c)

109

d)

82

151.

Find the measure of  B\angle\ B  

a)

30

b)

45

c)

60

d)

90