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WorksheetsMidterm Geometry Honors
Total questions: 96
Worksheet time: 4hrs 5mins
Name
Class
Date
1.
Answer the following question:
a)
A
b)
B
c)
C
d)
D
2.
Answer the following question:
a)
A
b)
B
c)
C
d)
D
3.
Two planes intersect at a...
a)
line
b)
point
c)
plane
d)
letter
4.
True or False: Points A, B, and C are coplanar.
a)
True
b)
False
5.
Find the distance between (-12, 1) and (12, -1).
a)
24.05
b)
24.06
c)
24.07
d)
24.08
6.
Find the distance.
a)
7.1
b)
7.8
c)
8.7
d)
8.9
7.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
8.
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)
9.
Find the endpoint of the segment with the endpoint of (-4, 5) and midpoint of (7, -9)
a)
(18, 13)
b)
(13, 18)
c)
(11,4)
d)
(1.5, -2)
10.
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)
11.
Find the value of x.
a)
14
b)
60
c)
35
d)
180
12.
Using the Law of Detachment, what can you conclude?
If you earn more than $14, then you can buy a new CD.
You earn $15.
If you earn more than $14, then you can buy a new CD.
You earn $15.
a)
you can buy a new CD
b)
you cannot buy a new CD
c)
no conclusion can be made
d)
you earn more than $14
13.
When taking the inverse we _____________ the hypothesis and conclusion
a)
negate
b)
switch
c)
switch and negate
d)
keep the same
14.
When taking the converse we ___________ the hypothesis and conclusion
a)
negate
b)
switch
c)
highlight
d)
switch and negate
15.
What is the measure of ∠3?
a)
55
b)
155
c)
45
d)
135
16.
What is the measure of ∠6?
a)
55
b)
155
c)
45
d)
135
17.
What type of angle pair is ∠1 and ∠3?
a)
alternate interior angles
b)
supplementary angles
c)
corresponding angles
d)
vertical angles
18.
Find x.
a)
130
b)
50
19.
What is the slope in the equation: y=4x+3
a)
3
b)
4x
c)
4
d)
3x
20.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
21.
y = 3x +2
y = 3x - 3
These lines are...
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
22.
Find the value of x.
a)
134
b)
67
c)
46
d)
78
23.
Find the measure of the indicated angle.
a)
22 degrees
b)
130 degrees
c)
20 degrees
d)
25 degrees
24.
Find the point P that partitions the line segment AB given the ratio.
A (-5, 8) B(9, 3) with the ratio 2:5
A (-5, 8) B(9, 3) with the ratio 2:5
a)
(12, 11/7)
b)
(-1, 53/7)
c)
(-1, 46/7)
d)
(13, 11/7)
25.
Find the point P that partitions the line segment AB given the ratio.
A (3, 5) B(4, 3) with the ratio 3:1
A (3, 5) B(4, 3) with the ratio 3:1
a)
(15/4, 5/2)
b)
(15/4, 7/2)
c)
(19/4, 3/2)
d)
(23/4, 3/2)
26.
Solve for x
a)
x = 2
b)
x = 4
c)
x = 6
d)
x = 8
27.
Let B be between A and C.
a)
7
b)
24
c)
13
d)
14
28.
Solve
a)
25°
b)
125°
c)
145°
d)
45°
29.
Solve
a)
x = 6
b)
x = 7
c)
x = 12
d)
x = 144
30.
B is the midpoint of AC. Find AB.
a)
2
b)
16
c)
8
d)
4
31.
Find the value of x.
a)
15
b)
16
c)
18
d)
19
32.
Find the value of x.
a)
18°
b)
28°
c)
38°
d)
118°
33.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
34.
Find the measure of the indicated angle.
a)
145
b)
113
c)
102
d)
78
35.
Find the measure of the indicated angle.
a)
34
b)
46
c)
62
d)
36
36.
What does CPCTC stand for?
a)
Congruent parts of congruent triangles are congruent
b)
Corresponding parts of congruent triangles are congruent
c)
Corresponding parts of corresponding triangles are corresponding
d)
Corresponding parts of congruent triangles are Canadian.
37.
Find x.
a)
x = 118
b)
x = 31
c)
x = 23
d)
x = 62
38.
Which statement is the congruence statement for the 2 triangles?
a)
∆EFG ≅ ∆MLF
b)
∆EFG ≅ ∆MFL
c)
∆EGF ≅ ∆FML
d)
∆GEF ≅ ∆FML
39.
∆ABC≅∆XYZ
which is true?
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
40.
∠A = ≅
a)
∠M
b)
∠N
c)
∠L
41.
a)
30 degrees
b)
45 degrees
c)
105 degrees
42.
Find the value of x.
a)
A
b)
B
c)
C
d)
D
43.
What is the sum of the Exterior angles of a Polygon?
a)
360/n
b)
S = (n-2)360
c)
S = (n-2)180
d)
360
44.
What is the formula for the sum of the interior angles of a polygon?
a)
S = (n-2)
b)
S = (n-2) 180
c)
S = 360 / n
d)
S = (n-2) 360
45.
Find the value of X
a)
112°
b)
116°
c)
90°
d)
244°
46.
What is the measure of each exterior angle of a 20-gon?
a)
14°
b)
15°
c)
17°
d)
18°
47.
What is the sum of the exterior angles of an octagon?
a)
240
b)
360
c)
180
d)
1080
48.
QR is a midsegment of triangle BCD. Solve for the value of x.
a)
11
b)
18
c)
9
d)
-7
49.
IJ is a midsegment of triangle MLN. What is the length of segment IJ?
a)
9
b)
6
c)
18
d)
0
50.
Determine if the triangles are congruent, if "yes" state the theorem.
a)
not congruent
b)
yes, SSS
c)
yes, SAS
d)
yes, ASA
51.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
52.
A median of a triangle connects the ___________ of a side to the opposite vertex.
a)
midpoint
b)
right angle
c)
end point
d)
angle
53.
What triangle congruence criteria is shown in the given diagram?
a)
AAS
b)
ASA
c)
SSA
d)
SAS
54.
A triangle with two congruent sides and two congruent angles (base angles) is called ...
a)
scalene
b)
equilateral
c)
isosceles
d)
obtuse
55.
Which of the following is NOT a triangle congruence criteria?
a)
SAS
b)
AAS
c)
SSA
d)
ASA
56.
Rigid Motions preserve ...
a)
angle measure and side lengths
b)
angle measure
c)
side lengths
d)
they do not preserve anything
57.
What is the "statement" for step 3 of the proof?
a)
HT=TA
b)
HA=AH
c)
MA=AM
d)
MA=MH
58.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
59.
Are the triangles congruent, if yes, why?
a)
SSS
b)
ASA
c)
AAS
d)
Not Congruent
60.
Identify the missing statement or reason
a)
Definition of Angle Bisector
b)
Alternate Interior Angles Theorem
c)
Reflexive Property
d)
Definition of Midpoint
61.
What is the "statement" for step 3 of the proof?
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
62.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
63.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
64.
What is statement #4?
a)
∆HFG≅∆IHF
b)
∆FHG≅∆IHF
c)
∆GFH≅∆IFH
d)
∆HFG≅∆IFH
65.
Which transformation is NOT a rigid motion (the size changes)?
a)
reflection
b)
rotation
c)
dilation
d)
translation
66.
What are the series of rigid motions that would map ∆ABC onto ∆A''B''C''?
a)
a reflection followed by a rotation
b)
a reflection followed by a translation
c)
a translation followed by a rotation
d)
a translation followed by a reflection
67.
A rigid motion creates figures that are ____________.
a)
congruent
b)
different sizes
c)
similar
d)
larger
68.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
right two, down five
b)
right two, down 9
c)
left two, down 9
d)
left two, down 5
69.
Determine whether it is possible to draw a triangle with sides of the given measures. 18cm, 20cm, 40 cm.
a)
yes
b)
no
70.
Does a triangle with these side lengths exist?
15, 12, 9
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
71.
6
a)
A
b)
B
c)
C
d)
D
72.
8
a)
A
b)
B
c)
C
d)
D
73.
The first step of an indirect proof is to ____?
a)
write the given
b)
assume the negation of the given
c)
assume the negation of what you are trying to prove
d)
contradict the given
74.
In a triangle, the longest side is across from the _________ angle.
a)
smallest
b)
greatest
c)
middle
75.
The exterior angle of a triangle is ______________ than either of its remote interior angles.
a)
<
b)
>
c)
≤
d)
≥
76.
What is the point equally distant from the three sides of a triangle?
a)
point of concurrency
b)
angle bisector
c)
incenter
77.
What construction forms an incenter point of concurrency?
a)
medians
b)
altitudes
c)
perpendicular bisectors
d)
angle bisectors
78.
Fill in the blank.
The circumcenter is equidistant to the _______.
The circumcenter is equidistant to the _______.
a)
sides
b)
perpendiculars
c)
vertices
d)
medians
79.
Which one is the orthocenter?
a)
A
b)
B
c)
C
d)
D
80.
If segment EB = 18, what is the length of EG?
a)
18
b)
6
c)
12
d)
9
81.
Where is the circumcenter of this image?
a)
Point O
b)
Point A
c)
The red circle
d)
The triangle
82.
At which point of this right triangle would the altitudes of the triangle intersect?
a)
A
b)
B
c)
C
83.
Find x if GD = x +6 and AG = 4x-2.
a)
x = 6
b)
x = 12
c)
x = 4
d)
x = 7
84.
a)
Circumcenter
b)
Incenter
c)
Centroid
d)
Othrocenter
85.
a)
Circumcenter
b)
Incenter
c)
Centroid
d)
Othrocenter
86.
a)
Circumcenter
b)
Incenter
c)
Centroid
d)
Othrocenter
87.
a)
Circumcenter
b)
Incenter
c)
Centroid
d)
Othrocenter
88.
a)
Circumcenter
b)
Incenter
c)
Centroid
d)
Othrocenter
89.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
90.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
91.
Determine whether a triangle with side lengths 5, 8, 10 is acute, right, or obtuse.
a)
Acute
b)
Right
c)
Obtuse
Obtuse
Obtuse
d)
Scalene
92.
Classify the given triangle by its angles if it has side lengths of 8, 10, 12.
a)
Acute
b)
Right
c)
Obtuse
d)
Isosceles
93.
What is the name of the following format of logical argument?
If A, then B.
Not A.
Therefore not B.
a)
Modus Ponens (Law of Detachment)
b)
Modus Tollens
c)
Law of Syllogism (Chain Rule)
d)
Disjunctive Inference
94.
What is the name of the following format of logical argument?
If A, then B.
A.
Therefore B.
a)
Modus Ponens (Law of Detachment)
b)
Modus Tollens
c)
Law of Syllogism (Chain Rule)
d)
Disjunctive Inference
95.
What is the name of the following format of logical argument?
If A, then B.
If B, then C
Therefore, if A then C.
a)
Modus Ponens (Law of Detachment)
b)
Modus Tollens
c)
Law of Syllogism (Chain Rule)
d)
Disjunctive Inference
96.
What is the name of the following format of logical argument?
Either A or B.
Not A.
Therefore B.
a)
Modus Ponens (Law of Detachment)
b)
Modus Tollens
c)
Law of Syllogism (Chain Rule)
d)
Disjunctive Inference
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