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WorksheetsAll Questions - Acad Geometry
Total questions: 213
Worksheet time: 9hrs 48mins
How would you name the triangle congruent to triangle ABC?
Triangle FMN
Triangle NMF
Triangle MNF
Triangle MFN
The interior angles of a triangle add to (a) degrees.
What type of angles are highlighted above?
Alternate Exterior Angles
Consecutive Interior Angles
Corresponding Angles
Alternate Interior Angles
Which of the following CAN you conclude from the diagram?
lines l and m are perpendicular
<a and <b are adjacent
<a and <b are complementary
m<a = m<b
What is the length of DE?
(a)
Which triangle congruence theorem can be used to prove the triangles are congruent?
SSS
ASA
AAS
SAS
Which triangle congruence theorem can be used to prove the triangles are congruent?
ASA
SAS
SSS
Not enough information
Which triangle congruence theorem can be used to prove the triangles are congruent?
ASA
SSS
SAS
SSA
Which triangle congruence theorem can be used to prove the triangles are congruent?
AAS
SAS
HL
ASA
Which of the following is NOT a triangle congruence theorem?
SSS
SAS
ASA
AAA
Which triangle congruence theorem can be used to prove the triangles are congruent?
SAS
Not enough information
SSS
ASA
Which of the following are NOT sufficient to prove two triangles are congruent? Choose all that apply.
SSS
AAA
ASA
SSA
SAS
Are the following triangles congruent? If so, how do you know?
Yes, SSS
Yes, SAS
Yes, ASA
Yes, AAS
No, insufficient information given
What property states that a side or angle is congruent to itself?
Substitution POE
Addition POE
Reflexive POE
Transitive POE
Name the postulate or theorem, if possible, that makes the triangles congruent.
SSS
SAS
ASA
Not Congruent
Vertical Angles are...
complementary
supplementary
congruent
none of these
Name 3 collinear points.
S, Q, R
T, Q, R
S, Q, P
P, Q, R
How many pets do you have at home?
0-2
3-4
5-6
7+
I am an angle that measures
exactly 90 degrees. Who am I?
acute
obtuse
right
straight
Parallel lines have the ______ slope.
opposite reciprocal
same
negative
Which of the following are NOT sufficient to prove two triangles are congruent? Choose all that apply.
SSS
AAA
ASA
SSA
AAS
Solve for x. (Just type the number, not x = )
(a)
How many FULL weeks do we have left in the semester?
1
2
3
4
Vertical Angles are...
complementary
supplementary
congruent
none of these
The interior angles of a triangle add to (a) degrees.
Which is your favorite? (You MUST pick ONE)
Breakfast
Lunch
Dinner
Midnight Snack
An angle bisector cuts and angle into two pieces that are NOT congruent.
True
False
What type of angles are highlighted above?
Alternate Exterior Angles
Consecutive Interior Angles
Corresponding Angles
Alternate Interior Angles
What is the length of DE?
(a)
Name 3 collinear points.
S, Q, R
T, Q, R
S, Q, P
P, Q, R
How many pets do you have at home?
0-2
3-4
5-6
7+
I am an angle that measures
exactly 90 degrees. Who am I?
acute
obtuse
right
straight
Parallel lines have the ______ slope.
opposite reciprocal
same
negative
Which of the following are NOT sufficient to prove two triangles are congruent? Choose all that apply.
SSS
AAA
ASA
SSA
AAS
Solve for x. (Just type the number, not x = )
(a)
How many FULL weeks do we have left in the semester?
1
2
3
4
Colinear
Intersection
Parallel Planes
Coplanar
Having the same size and shape, (check all that apply)
Congruent
≅
=
Similarity
a straight path that has no thickness and extends forever
point
line
ray
plane
Two rays that have a common endpoint and form a line.
Linear Pair
Opposite Rays
Right Angle
Supplementary Angles
flat surface that has no thickness and extends forever.
point
line
plane
ray
part of a line that starts at an endpoint and extends forever in one direction
line
segment
ray
vertex
A basic figure that is not defined in terms of other figures. (Check all that apply)
Undefined term
Point
Line
Ray
Which of the following is named by a lower case letter?
point
line
segment
ray
plane
Which of the following is named by a single Upper case letter?
point
line
segment
ray
plane
How many noncollinear points are needed to name a plane?
3
1
2
4
This geometric object has no dimension and is represented as a single dot in space
point
line
plane
ray
These two lines will never intersect
Parallel Lines
Perpendicular lines
Bisector
Not possible
This is a......
an obtuse triangle
an equilateral triangle
a scalene triangle
a right triangle
Formed by two rays that share a common end point
Angle
Opposite Rays
Congruent
Line
Two angles that add to be 90 degrees
Supplementary
Complementary
Angles
Right Angle
The Pythagorean Theorem only works on what type of triangle?
Scalene
Isosceles
Obtuse
Right
All Triangles
If the measure of ∠ABC=98∘ and BD is an angle bisector. What is the measure of ∠ABD and ∠DBC ?
196
98
49
Can't be determined
The symbol ⊥ is used for which of the following notations?
Parallel Lines
Perpendicular lines
Congruency
Opposite Rays
If the angles of one of two similar triangles are 30, 60, and 90 degrees, what are the angles for the other triangles?
60, 120, 180
30, 60, 90
45, 45, 90
Not enough information
Two angles that add to be 180 degrees
Supplementary
Complementary
Angles
Straight Line
Name the angle in the image
∠OAB
∠OBA
∠AOB
∠BOA
If the measure of two angles of a triangle are 60 and 100 degrees, what is the measure of the third angle?
30°
60°
90°
20°
Which shapes represents the sides of a pyramid?
trapezoid
square
triangle
rectangle
The vertical cross section of a cube is a ________
circle
square
triangle
parallelogram
means having the same shape and size
congruent
small
large
equal
What is the opposite of squaring a number?
divide
square root
fractions
multiply
What is the perimeter of this polygon?
36
80
33
43
The space inside of a 3-dimensional figure is called:
surface area
volume
circumference
mass
Which of the following represents pi?
3.5
3.1
3.14
3.1867
Angles on a line add up to......
90
180
160
360
(9, 3) and (7, 8).
Solve for x.
Name the angle with three arcs. Choose all that apply.
< FIE
< EIF
< I
< EIR
A part of a line consisting of two points and all points between them.
ray
endpoint
line segment
plane
A flat surface that has no thickness
and extends forever.
point
line
plane
ray
If points A, B, C are collinear with B between A and C, the segment addition postulate is:
AB + BC = AC
BA + CB = AC
CA + CB = AB
BC + AC = CA
Name 3 collinear points.
S, Q, R
T, Q, R
S, Q, P
P, Q, R
I am a location in space. I have no dimension. Who am I?
Plane
Point
Segment
Line
I am part of a line. I have one end point and continue forever in one direction. What am I?
segment
line
ray
opposite ray
I am made up of a minimum of 2 points with no thickness or width. What am I?
plane
line segment
line
ray
I am an angle that measures
exactly 90 degrees. Who am I?
acute
obtuse
right
straight
Name the angle that is pictured.
Acute
Right
Obtuse
Straight
Lines that intersect and create a
right angle are called:
line segments
parallel lines
perpendicular lines
ray
Q is the midpoint of PR.
PQ = 6x – 7 and QR = 5x + 1.
Find the length of PR.
8
16
41
82
I am a line, ray or segment that intersects a segment at its midpoint. What am I?
congruent segments
perpendicular line
angle bisector
segment bisector
Find the m ∠A.
79 degrees
87 degrees
90 degrees
97 degrees
If ray OR is the angle bisector of ∠POQ, and m∠POR = 38°, what is the m∠POQ?
19°
38°
62°
76°
If ∠ABC= 103⁰, find m∠ ABD
45
13
57
46
Find the missing angle measure.
43 degrees
47 degrees
57 degrees
67 degrees
What is the measure of the
missing angle?
92 degrees
102 degrees
82 degrees
72 degrees
Which triangle congruence theorem can be used to prove the triangles are congruent?
SSS
ASA
AAS
SAS
Which triangle congruence theorem can be used to prove the triangles are congruent?
ASA
SAS
SSS
Not enough information
Which triangle congruence theorem can be used to prove the triangles are congruent?
ASA
SSS
SAS
SSA
Which triangle congruence theorem can be used to prove the triangles are congruent?
AAS
SAS
HL
ASA
Which of the following is NOT a triangle congruence theorem?
SSS
SAS
ASA
AAA
Which triangle congruence theorem can be used to prove the triangles are congruent?
SAS
Not enough information
SSS
ASA
Congruent figures...
Have the same dimensions (side lengths and angle measures)
Are the same shape and size
Can be mapped onto one another using rigid motions
All of the above
Are the following triangles congruent? If so, how do you know?
Yes, SSS
Yes, SAS
Yes, ASA
Yes, AAS
No, insufficient information given
How would you name the triangle congruent to triangle ABC?
Triangle FMN
Triangle NMF
Triangle MNF
Triangle MFN
What property states that a side or angle is congruent to itself?
Substitution POC
Addition POC
Reflexive POC
Transitive POC
Name the postulate or theorem, if possible, that makes the triangles congruent.
SSS
SAS
ASA
Not Congruent
Fill in the blank.
Given
Reflexive POC
Transitive POC
Symmetric POC
What does CPCFC stand for?
Congruent parts of congruent figures are congruent
Corresponding parts of congruent figures are congruent
Corresponding parts of corresponding figures are corresponding
Corresponding parts of congruent figures are Canadian.
Is the red line a radius or diameter of the circle?
Radius
Diameter
What is this called?
Circumference
Minor Arc
Major Arc
Inscribed Angle
What is half of a circle
Semicircle
Center of a circle
Inscribed angles
What is the coefficient 2 mean?
original
Given: B is the midpoint of AC. What should you conclude?
AB + BC = AC
AB = BC
A is the segment bisector of BC
ABC is a straight angle
Given: OR ⊥ QP. What should you conclude by definition of perpendicular?
<ORP is a right angle
QR + RP = QP
<ORQ and <ORP are complementary
<QRP = 180 °
Given: <1 and <3 are vertical angles. What should you conclude by the vertical angles theorem?
<1 and <2 are a linear pair
<1 and <3 are right angles
<2 and <4 are vertical angles
<1≅<3
Given: <1 and <2 are supplementary. What can you conclude?
m<1 + m<2 = 180
m<1 + m<2 = 90
m<1 = m<2
nothing
Given: <1 and <2 are a linear pair. Conclusion: m<1 + m<2 = 180. What is the reason that allows you to draw that conclusion?
Angle addition postulate
Definition of straight angle
Linear Pair Postulate
Definition of supplementary
Which of the following is an example of the transitive property?
If x = 5 and and x = y, then y = 5.
If x = y then y = x
x = x
If 2x + 4 = 2, then x = -1
Given: AB is the segment bisector of PQ. What conclusion can you draw?
PF = QF
F is the midpoint of PQ
m<PFA = m<QFA
<PFQ is a straight angle
If an angle is a straight angle, then its measure is 180°
Given: <ABC is a straight angle.
What conclusion can you draw?
<ABC is not an acute angle
<ABC is supplementary to another angle
m<ABC = 180°
<ABC is a straight angle
An animal has spots if and only if it's a cheetah. True or false?
True because cheetahs have spots
False because cheetahs don't have spots
False because cheetahs are not the only animals that have spots
True because cheetahs are fast
Which of the following conclusions CANNOT be drawn just by looking at the diagram?
GH and AB intersect at D
<GDA and <HDB are vertical angles
D is the midpoint of GH
G, D, and H are collinear
Given: PL is the angle bisector of <RPQ
What can you conclude by definition of angle bisector?
m<RPL = m<LPQ
<RPL + m<LPQ = m<RPQ
<RPQ is acute
m<RPQ = 90
What is the missing statement in the proof?
Addition property
Segment Addition Postulate
Substitution property
Transitive property
When trying to prove two angles are supplementary, what must you show in your proof?
that the angles are equal
that the angles add up to 180 degrees
that the angles are a linear pair
that the angles are right angles
