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Semester Exam Review - Geometry

Total questions: 126

Worksheet time: 11hrs 30mins

Name
Class
Date
1.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
2.

Which pair of angles is an example of corresponding angles?

a)

∠1 and ∠8\angle1\ and\ \angle8  

b)

∠3 and ∠7\angle3\ and\ \angle7  

c)

∠4 and ∠5\angle4\ and\ \angle5  

d)

∠2 and ∠5\angle2\ and\ \angle5  

3.

Which pair of angles is an example of alternate exterior angles?

a)

∠1 and ∠8\angle1\ and\ \angle8  

b)

∠3 and ∠7\angle3\ and\ \angle7  

c)

∠4 and ∠5\angle4\ and\ \angle5  

d)

∠2 and ∠5\angle2\ and\ \angle5  

4.

If  ∠5 and ∠4\angle5\ and\ \angle4  are one pair of Alternate Interior Angles, name the other pair of Alternate Interior Angles

a)

∠3 and ∠2\angle3\ and\ \angle2  

b)

∠6 and ∠8\angle6\ and\ \angle8  

c)

∠3 and ∠6\angle3\ and\ \angle6  

d)

∠1 and ∠9\angle1\ and\ \angle9  

5.

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

6.

Find the value of x if the  m∠1 = 11x − 9°m\angle1\ =\ 11x\ -\ 9\degree and the  m∠5 = 7x +9°m\angle5\ =\ 7x\ +9\degree .

a)

-4.5

b)

4.5

c)

1

d)

0

7.

Find x

a)

15 degrees

b)

12 degrees

c)

24 degrees

d)

10 degrees

8.
What value of x will make m parallel to n?
a)
113
b)
166
c)
19
9.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
10.
WHICH IS THE CORRECT EQUATION TO SOLVE FOR X? 
a)
16X+180 = 90
b)
12X - 19 = 4X +1
c)
12X - 19 + 4X +1=90
d)
12X - 19 + 4X +1=180
11.

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

12.

What is the relationship between angle 1 and angle 5?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Same Side Exterior Angles

d)

Vertical angles

13.

A line that intersects at least two other lines is called a ...

a)

Supplementary Angle

b)

Parallel Line

c)

Transversal

d)

Tarantula

14.
Angle S and A are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
15.
a)

acute

b)

obtuse

c)

right

16.
a)

acute

b)

obtuse

c)

right

17.
a)

acute

b)

obtuse

c)

right

18.
a)

equilateral

b)

isosceles

c)

scalene

19.
a)

equilateral

b)

isosceles

c)

scalene

20.
a)

equilateral

b)

isosceles

c)

scalene

21.
Name this triangle
a)
Acute, Scalene
b)
Obtuse, Scalene
c)
Right, Isosceles
d)
Acute, Equilateral
22.
Which type of triangle is pictured?
a)
Equilateral Triangle
b)
Right Isosceles Triangle
c)
Obtuse Scalene Triangle
d)
Obtuse Equilateral Triangle
23.

Find the measure of the missing angles.

a)

A

b)

B

c)

C

d)

D

24.
Solve for the missing angle with the question mark. 
a)
A
b)
B
c)
C
d)
D
25.

Find the measure of the missing angles.

a)

A

b)

B

c)

C

d)

D

26.

Solve for x.

a)

24

b)

25

c)

36

d)

48

27.
Find x
a)
90
b)
45
c)
22
d)
35
28.
Find x
a)
10
b)
32
c)
116
d)
16
29.
Solve for x 
a)
x = 16
b)
x = 28
c)
x = 1/26
d)
x = 26
30.
What segment is parallel to EF?
a)
Segment PM
b)
Segment MN
c)
Segment NP
d)
Segment FG
31.
If LN = 5, then AC = ______.
a)
5
b)
10
c)
15
d)
25
32.

When AB = 16, what is QS?

a)

8

b)

16

c)

24

d)

32

33.
Find the length of AB
a)
6
b)
11
c)
17
d)
68
34.

Find x.

a)

52

b)

104

c)

26

35.

AD is a perpendicular bisector. Solve for x

a)

8

b)

4

c)

20

d)

11

36.
Find m< JKM
a)
90
b)
76
c)
38
d)
83
37.

Find the length of the missing side

a)

17

b)

15

c)

22

d)

13

38.
9. Which of these lengths CANNOT represent the sides of a triangle?
a)
32, 34, 60
b)
28, 30, 58
c)
13, 20, 27
d)
2, 4, 5
39.
Can the following side measures form a triangle?
  4 cm, 7 cm, 10 cm 
a)
Yes
b)
No
40.
What is the range of values of x for a triangle's third side given side measures of 4 and 12?
a)
between 8 and 16
b)
less than 4, greater than 12
c)
between 4 and 12
41.

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
10,610,6  

a)

4<x<164<x<16  

b)

5<x<155<x<15  

c)

6<x<156<x<15  

d)

4<x<144<x<14  

42.

What is the angle relationship between

angles 1 and 2 ?

a)

Corresponding

b)

Alternate Interior

c)

Alternate Exterior

d)

Supplementary

43.
Find y.
a)
50
b)
130
44.
Solve for y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
45.

Convert the equation to slope-intercept form: y - 5 = 3 ( x + 2 )

a)

y = 3x + 8

b)

y = 3x + 11

c)

y = 3x + 1

d)

y = 3x - 8

46.

What is the equation in slope-intercept form of the line that passes through the points (-4, 2) and (12, 6)?

a)

y = 0.25x+3y\ =\ 0.25x+3  

b)

y = 0.25x−4.5y\ =\ 0.25x-4.5  

c)

y=4x+18y=4x+18  

d)

y=4x−42y=4x-42  

47.

Select all of the following equations in point-slope form.

a)

y - 2 = 5(x - 2)

b)

3x + 2y = 12

c)

y + 2 = 1/4(x + 4)

d)

y = 4x + 6

e)

2y = 5x - 7

48.

What is the slope of the graph y = 12x − 19y\ =\ 12x\ -\ 19  ?

a)

−19-19  

b)

−1219-\frac{12}{19}  

c)

1912\frac{19}{12}  

d)

1212  

49.

13) What is the reason for Statement 4?

a)

Substitution

b)

Converse of Alternate Exterior Angles Theorem

c)

Converse of Corresponding Angles Postulate

d)

Converse of Same-side Interior Angles Theorem

50.

1) Which statement restates the Given from the question?

a)
b)
c)
51.

Parallel lines have _________________ slope.

a)

The Same

b)

Opposite Reciprocal

52.

Perpendicular lines have _________________ slope.

a)

The Same

b)

Opposite Reciprocal

53.

If the lines are parallel to each other and the slope of the blue is -1, what is the slope of the purple line?

a)

1

b)

-1

c)

5

d)

-3

54.
Name the image
a)
Line segment
b)

Line

c)

Point

d)

Ray

55.
Name the Image
a)
Angle
b)
Line
c)
Line Segment
d)
Ray
56.

A flat surface made up of points that has two dimensions and extends without end.

a)
Point
b)
Plane
c)
Angle
d)
Line
57.
Points that lie on the same line are _________.
a)
coplanar
b)
collinear
c)
parallel
d)
perpendicular
58.
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.
59.
How many points do you need to make a line?
a)
1
b)
at least 2
c)
3
d)
4
60.
Two lines intersect at a ....
a)
angle
b)
point
c)
line
d)
intersection
61.
Two planes intersect at a...
a)
line
b)
point
c)
plane
d)
letter
62.
Name two points collinear to Point K
a)
H & M
b)
J & L
c)
N & J
d)
M & L
63.
Give another name for plane Q.
a)
Plane FEGI
b)
Plane FEG
c)
Plane m
d)
Plane FGI
64.
An example of coplaner points
a)
D, E, B
b)
C, B, A
c)
M, E, C
d)
A, F, E
65.
A line that contains point M.
a)

Line q

b)

Line p

c)

Line r

66.
Name the intersection of Plane ADE and Plane W
a)
Point E
b)
Point A
c)
Line AD
d)
Line EA
67.
Name 3 coplaner points.
a)
ZRW
b)
VZX
c)
VWX
d)
WYZ
68.
A plane containing point A.
a)
Plane DEA
b)
Plane k
c)
Plane CDF
d)
Plane F
69.
Are points D and E collinear or coplanar?
a)
Collinear
b)
Coplanar
70.
True or False: Line DE lies in plane ABC
a)
True
b)
False
71.
True or False: Line AB lies in plane ABC
a)
True
b)
False
72.

True or False: Points B, C, and D are coplanar.

a)

True

b)

False

73.
True or False: Points A, B, and C are collinear.
a)
True
b)
False
74.
Which is NOT a shortcut to prove triangles congruent?
a)
SAA
b)
SSS
c)
SSA
d)
SAS
75.
Which segment is congruent to EF? 
a)
HG
b)
HF
c)
GF
d)
IE
76.
Use the congruency statement to answer the following: 
<F = ___
a)
<H
b)
<I
c)
<G
d)
not congruent to another angle
77.
What shortcut would you use to prove the triangles congruent?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
78.
What shortcut would you use to prove the triangles congruent?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
79.
What shortcut would you use to prove the triangles congruent?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
80.
What shortcut would you use to prove the triangles congruent?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
81.
State if the two triangles are congruent.  If they are, state which theorem you would use.
a)
Yes, SAS
b)
Yes, SSS
c)
Yes, HL
d)
Not enough information
82.
How are these two triangles congruent?
a)
AAS
b)
ASA
c)
Not enough information
d)
SAS
83.
How are these triangles congruent?
a)
AAS
b)
ASA
c)
SAS
d)
Not enough information
84.

ΔABC ≅ Δ_____ by _____

a)

ΔDFE , SAS

b)

ΔDFE , SSA

c)

ΔDEF , SSA

d)

Cannot Be Determined

85.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
86.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
87.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
88.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
89.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
AAS
d)
Not Possible
90.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
91.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
92.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
93.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
94.
∠A ≅∠?
a)
∠B
b)
∠E
c)
∠D
d)
∠F
95.

If ∠1 ≅ ∠3, which of the following can be used to determine lines are parallel?

a)

Corresponding Angles Converse

b)

Alternate Interior Angles Converse

c)

Alternate Exterior Angles Converse

d)

Interiors on Same Side Converse

e)

None of the above

96.

Two angles with a sum of 90 degrees

a)
Supplementary
b)
Complementary
c)
Right
d)
Vertical
97.
What is the measure of the missing angle?
a)

82 degrees

b)

72 degrees

c)

43 degrees

d)

52 degrees

98.

What is the measure of the missing angle?

a)

60°60\degree  

b)

70°70\degree  

c)

50°50\degree  

d)

140°140\degree  

99.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
100.

Angles with the same measure are called ...

a)

Congruent

b)

Similar

c)

Supplementary

d)

Transversal

101.
Name two points collinear to Point K
a)
H & M
b)
J & L
c)
N & J
d)
M & L
102.
An example of coplaner points
a)
D, E, B
b)
C, B, A
c)
M, E, C
d)
A, F, E
103.
A line that contains point M.
a)

Line q

b)

Line p

c)

Line r

104.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
105.
Find the distance between ( 1, 3) and (5, 6) 
a)
3
b)
4
c)
5
d)
6
106.
Find the distance between (-4, 5) and (7, 18).
a)
15.96
b)
16.08
c)
16.23
d)
17.03
107.

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)

108.
What is the midpoint between (-4,4) and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
109.

Suppose AC =  48, find the value of x. Then, find the length of AB.

a)

13

b)

16

c)

12

d)

15

110.

If DF=9x-39, find EF.

a)

16

b)

58

c)

116

d)

23

111.

If m∠ABC = 103° find x.

(a)  

112.

Given m∠QST = 135°, find the value of x.

a)

x = 26

b)

x = 28

c)

x = 27

d)

x = 29

113.

Line l bisects the segment. Find the value of x.

a)

x = 15

b)

x = 6

c)

x = 9

d)

x = 3

114.

Solve for x.

a)

2

b)

3

c)

4

d)

5

e)

7.4

115.
Identify the property of equality.
If 9=x, then x=9
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Substitution
116.
Identify the property used here:
39=39
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Substitution
117.
For any numbers a, b, and c, if a = b and b = c, then a = c.
a)
Transitive Property         
b)
Symmetric Property
c)
Reflexive Property
d)
Substitution Property
118.
What is reason 1?
a)
Subtraction Property of Equality
b)
Transitive Property of Equality
c)
Given
d)
Prove
119.
Step 2 is what
a)
Substitution property (simplify)
b)
Multiplication property of equality
c)
Division property of equality
d)
Distributive Property
120.
What is reason 3?
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
121.
What is reason 2?
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
122.
Fill in the reason for 5. 
a)
Addition Postulate
b)
Substitution property
c)
Definition of midpoint
d)
Segment Addition Postulate
123.
Fill in the statement for number 4. 
a)
RA=RE +AE
b)
EL = EA + AL
c)
RE +EA= EA +AL
d)
RA = EL
124.
What is the justification (reason)?
a)
reflexive property
b)
definition of segment bisect
c)
definition of a midpoint
d)
substitution property
125.

Given: B is the midpoint of AC. What should you conclude?

a)

AB + BC = AC

b)

AB = BC

c)

A is the segment bisector of BC

d)

ABC is a straight angle

126.
Name the property of equality or congruence that justifies going from the first statement to the second statement.
a)
Reflexive Property of Congruence
b)
Symmetric Property of Congruence
c)
Distributive Property
d)
Transitive Property of Congruence