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WorksheetsCh 4 Triangles
Total questions: 103
Worksheet time: 10hrs 21mins
Are the two triangles congruent?
If so, which Triangle Congruence Theorem proves they are congruent?
No, they are not congruent
Yes, SAS
Yes, SSS
Yes, ASA
Yes, AAS
Are the two triangles congruent?
If so, which Triangle Congruence Theorem proves they are congruent?
No, they are not congruent
Yes, SAS
Yes, SSS
Yes, ASA
Yes, AAS
Are the two triangles congruent?
If so, which Triangle Congruence Theorem proves they are congruent?
No, they are not congruent
Yes, SAS
Yes, SSS
Yes, ASA
Yes, AAS
Are the two triangles congruent?
If so, which Triangle Congruence Theorem proves they are congruent?
No, they are not congruent
Yes, SAS
Yes, SSS
Yes, ASA
Yes, AAS
Are the two triangles congruent?
If so, which Triangle Congruence Theorem proves they are congruent?
No, they are not congruent
Yes, SAS
Yes, SSS
Yes, ASA
Yes, AAS
Are the two triangles congruent?
If so, which Triangle Congruence Theorem proves they are congruent?
No, they are not congruent
Yes, SAS
Yes, SSS
Yes, ASA
Yes, AAS
What addition piece of information would allow you to conclude that ΔDEF≅ΔPQR using SAS?
∠D≅∠P
∠E≅∠Q
∠D≅∠Q
∠F≅∠R
Which congruency statement can be written for the triangles pictured?
ΔACB≅ΔABD
ΔBAC≅ΔBAD
ΔCAB≅ΔDBA
ΔADB≅ΔBCA
Including the Reflexive Property, state whether the triangles are congruent and why.
yes, SSS
yes, ASA
yes, AAS
yes, HL
State if the triangles are congruent and why.
Yes, AAS
Yes, ASA
Not congruent
Yes, SSS
What is the name of this kind of triangle?
Scalene
Isosceles
Equilateral
Look at the sides of this triangle. What type of triangle is this?
Equilateral
Isosceles
Scalene
Look at the sides of this triangle. What type of triangle is this?
scalene
isosceles
equilateral
Equilateral
Isosceles
Scalene
Classify the triangle by its sides.
Scalene
Equialteral
Isosceles
Classify the triangle by its angles.
Acute
Obtuse
Equiangular
right
Classify the triangle by its angles.
acute
obtuse
equiangular
right
Classify the triangle by its angles.
acute
obtuse
equiangular
right
WHAT TYPE OF TRIANGLE IS THIS
RIGHT EQUILATERAL
RIGHT SCALENE
RIGHT ISOSCELES
OBTUSE SCALENE
Identify the triangle by its sides and angles.
Obtuse Equilateral
Obtuse Isosceles
Isosceles
Acute Scalene
What is the value of the missing angle?
105
80
55
25
Solve for x
49
58
70
94
Which of the following statements about this figure are true?
m∠1=24°, m∠2=45°, and m∠3=62°
m∠1=118°, m∠2=73°, and m∠3=49°
m∠1=62°, m∠2=45°, and m∠3=24°
m∠1=38°, m∠2=69°, and m∠3=19°
A
B
C
D
A
B
C
D
A
B
C
D
What is the value of y?
14
98
41
5
Find x
10
32
116
16
64
Which additional piece of information would be needed to prove the triangles congruent using ASA?
m<A = m<F
AB = FE
m<C = m<D
AC = FD
For the given picture, EF = BC and AB = DE. Which postulate can be used to prove the triangles congruent?
SAS
ASA
AAS
HL
Solve for x.
A
B
C
D
What is Side AB corresponding side?
PR
QR
PQ
AC
The corresponding angle to angle C is:
Angle Q
Angle P
Angle R
none of the answers
What angle is the corresponding angle to angle B?
Angle P
Angle R
Angle Q
Angle A
Which angles corresponds to ∠A
Which angles corresponds to ∠B
Which side corresponds to QR
Which side corresponds to QT
What angle corresponds to Angle E?
Angle S
Angle T
Angle R
Which congruence statement is written accurately for the figures?
ΔABC≅ΔRDS
ΔABC≅ΔDSR
ΔABC≅ΔSRD
ΔABC≅ΔDRS
∠A corresponds with which ∠ in the other triangle ?
∡L
∡M
∡N
None
If ΔABC ≅ Δ EFD , what is the length of DF?
17cm
15cm
8cm
If ΔABC ≅ Δ EFD , What is the length of DE?
17cm
15cm
8cm
Given: ΔABC≅ΔDEF Select ALL the true statements.
∠C≅∠E
CA≅DF
∠E≅∠B
BC≅DF
∠A≅∠D
DC ≅
AB
BC
CE
AC
What are Corresponding Parts
The same triangle.
When two figures are congruent.
Sides or angles that are in the same or matching position.
Another word for perimeter.
ΔXYZ≅ΔTRS
Which side corresponds to side ZX?
TR
ST
SR
What kind of angles are ∠1 and ∠2 ?
Exterior angles
Vertical angles
A Linear Pair
Corresponding angles
Alternate Interior angles
What are the ways that we can use to prove two triangles are congruent? (Mark all that apply)
SSS
SAS
ASA
AAS
SSA
Name the angle with three letters.
∠e
∠f
∠FED
∠FDE
Name the angle with three letters.
∠LMK
∠KML
∠KLM
Name the angle with three letters.
∠XZY
∠ZXY
∠XYZ
What is another name for ∠STU?
<TSU
<TUS
<SUT
<UTS
Which is the vertex of the angle?
X
Y
Z
D is the vertex of the angle.
True
False
Which is the vertex of the angle?
E
D
F
Which is the correct way to name ∠q?
∠QPO
∠NRQ
∠PQR
Choose the correct name for the angle marked ∠6.
∠KVL
∠LKV
∠V
∠JKV
Choose the correct name for the angle marked ∠3.
∠V
∠4
∠IVH
∠JVI
Name the angle.
∠STR
∠RST
∠RTS
Point RST
Which names an obtuse angle in the figure?
Angle JHG
Angle FHJ
Angle GHK
Angle FHK
Choose the correct name for the angle marked ∠4.
∠K
∠KVJ
∠LVK
∠JKV
Choose the correct name for the angle marked ∠5.
∠V
∠JVK
∠IJK
∠IVJ
3, 5, 8
Will these three sides form a triangle?
yes
no
Will these line segments form a triangle?
yes
no
Will these side lengths form a triangle?
yes
no
Determine if it is possible to form a triangle with the given side lengths. 7 yd, 8 yd, 9 yd
yes
no
Can the following side measures form a triangle?
3, 5, 8
Yes
No
