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WorksheetsCongruence of Triangle
Total questions: 221
Worksheet time: 6hrs 36mins
A Square and a Circle are congruent to each other.
True
False
Line segments AB & PQ are congruent to each other. Length of AB = 7cm. What is the length of PQ?
(a)
A Square and a Circle are congruent to each other.
True
False
All equilateral triangles are congruent to each other.
True
False
How will you represent the two triangles in congruence?
△ABC ≅ △PQR
△BAC ≅ △PQR
△ABC ≅ △RPQ
△ACB ≅ △PQR
∆ABC ≅ ∆XYZ. By which critieria?
SAS
ASA
SSS
SSA
Line segments AB & PQ are congruent to each other. Length of AB = 7cm. What is the length of PQ?
(a)
∆PRT ≅ ∆ZPQ. Then side PT will be equal to?
ZQ
QZ
ZP
PQ
∆PQR ≅ ∆NLM by which criteria?
SAS
ASA
RHS
SSS
Are ∆ABD and ∆ACD congruent to each other?
No
Yes, By SAS
Yes, By ASA
Yes, By SSS
Figures that have the same _____ and size are congruent triangles
corresponding
angles
shape
corner
∆HSM ≅ ∆VLK
which of the following is true?
HS ≅ VL
HS ≅ VK
SM ≅ VL
HM ≅ KL
Two plane figures are said to be congruent if they have :
same length and same breadth
same length but different breadth
same size and same shape
different size but same shape
Among two congruent angles, one has a measure of 70°. What will be the measure of the other angle?
140°
35°
70°
110°
The symbol for congruence is :
=
#
~
≅
Two students drew a line segment each. What is the condition for them to be congruent?
They should be drawn with a scale.
They should be drawn on the same sheet of paper.
They should have different lengths.
They should have the same length.
If ∆DEF ≅ ∆ACB, then the part of ∆ACB that corresponds to angle F is :
Angle A
Angle B
Angle C
None of these
Which of the following is a pair of congruent figures :
A regular pentagon and a regular hexagon.
A rhombus and a square
Two equilateral triangles of the same length of their sides.
Two equilateral triangles having different length of their sides from each other.
Which angle is included between the sides QR and PR of ∆PQR?
Angle R
Angle P
Angle Q
None of these
What is the side included between the angles M and N of ∆MNP?
MN
NP
MP
None of these
Under a given correspondence, two triangles are congruent if the three sides of the first are equal to the three corresponding sides of the other.
The above is known as :
SSS congruence of two triangles.
SAS congruence of two triangles.
ASA congruence of two triangles.
None of these.
Under a given correspondence, two triangles are congruent if two sides and the angle included between them of the first are equal to the corresponding sides and the angle included between them of the other triangle.
The above is known as :
SSS congruence of two triangles.
SAS congruence of two triangles.
ASA congruence of two triangles.
None of these.
∆ABC and ∆RQP are congruent with the same correspondence. Write the parts of ∆ ABC that corresponds to RP.
AB
BC
AC
None of these
In congruent triangles ABC and PQR, AB = 5cm, BC = 4cm, angle B = 30°, PQ = 5cm, QR = 4cm and angle Q = 30°. By which congruence rule, the triangles are congruent?
SSS
ASA
SAS
None of these
which is true?
<F = ___
The two triangles are congruent. Find the value of c.
(Diagrams are not to scale.)
4
5
3
38
If ∆MNO ≅ ∆PQR, which of the following can you NOT conclude as being true? [Hint: DRAW A PICTURE!!]
MN = PR
∠M ≅ ∠P
NO = QR
∠N ≅ ∠Q
△BAC ≅ △QPR. If ∠B = 2x and ∠Q = 10, find the value of x.
2
4
5
-5
Are the triangles congruent?
Yes, by AAS
Yes, by AA
Yes, by ASA
Yes, by SAS
Not enough information
Are the triangles congruent?
Yes, by SSA
Yes, by HL
Yes, by SSS
Yes, by SAS
Not enough information
Are the triangles congruent?
Yes, by AAS
Yes, by ASA
Yes, by AA
Yes, by SAS
Not enough information
Identify the missing statement or reason
Reflexive Property
Definition of Midpoint
Given
Vertical Angles Theorem
a
b
c
d
a
b
c
d
a
b
c
d
a
b
c
d
a
b
c
d
a
b
c
d
a
b
c
d
a
b
c
d
a
b
c
d
a
b
c
d
If ∆DEF ≅ ∆ACB, then the part of ∆ACB that corresponds to angle F is :
Angle A
Angle B
Angle C
None of these
Which of the following is a pair of congruent figures :
A regular pentagon and a regular hexagon.
A rhombus and a square
Two equilateral triangles of the same length of their sides.
Two equilateral triangles having different length of their sides from each other.
Which angle is included between the sides QR and PR of ∆PQR?
Angle R
Angle P
Angle Q
None of these
What is the side included between the angles M and N of ∆MNP?
MN
NP
MP
None of these
Under a given correspondence, two triangles are congruent if the three sides of the first are equal to the three corresponding sides of the other.
The above is known as :
SSS congruence of two triangles.
SAS congruence of two triangles.
ASA congruence of two triangles.
None of these.
Under a given correspondence, two triangles are congruent if two sides and the angle included between them of the first are equal to the corresponding sides and the angle included between them of the other triangle.
The above is known as :
SSS congruence of two triangles.
SAS congruence of two triangles.
ASA congruence of two triangles.
None of these.
In congruent triangles ABC and PQR, AB = 5cm, BC = 4cm, angle B = 30°, PQ = 5cm, QR = 4cm and angle Q = 30°. By which congruence rule, the triangles are congruent?
SSS
ASA
SAS
None of these
Which is NOT a test to prove triangles congruent?
ASA
SSS
AAA
SAS
How are the triangles congruent?
RHS
SSS
SAS
AAS
How are the triangles congruent?
SAS
ASA
RHS
SSS
The symbol for congruence is :
=
#
~
≅
If ∆DEF ≅ ∆ACB, then the part of ∆ACB that corresponds to angle F is :
Angle A
Angle B
Angle C
None of these
Are the triangles congruent?
Yes, by AAS
Yes, by AA
Yes, by ASA
Yes, by SAS
Not enough information
How are the triangles congruent?
SAS
SSS
AAS
HL(RHS)
How are the triangles congruent?
HL(RHS)
SAS
ASA
AAS
What are the five ways to prove triangles congruent?
SSS, ASA, AAS, SAS, HL(RHS)
SSS, SSA, HL(RHS), AAS, SAS
SAS, SSA, HL(RHS), AAS, SSS
HL(RHS), SAS, SSA, SSS, ASA
If ∆DEF ≅ ∆ACB, then the part of ∆ACB that corresponds to angle F is :
Angle A
Angle B
Angle C
None of these
ΔWXY≅ΔGIY
XY≅?
GI
IY
YI
GY
Are ASA And SAS same
No
Yes
Maybe
Don't know
IF triangle ADB and ACB are congruent angle ADB=60 degree,ACB=60 degree ,DAB=CAB=60 degree then ABD=ACB=x degree x=
50 degree
45 degree
60 degree
75 degre
Are ASA And SAS same
No
Yes
Maybe
Don't know
IF triangle ADB and ACB are congruent angle ADB=60 degree,ACB=60 degree ,DAB=CAB=60 degree then ABD=ACB=x degree x=
50 degree
45 degree
60 degree
75 degre
IF triangle ADB and ACB are congruent angle ADB=60 degree,ACB=60 degree ,DAB=CAB=60 degree then ABD=ACB=x degree x=
50 degree
45 degree
60 degree
75 degre
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
which is true?
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, not enough information provided
<F = ___
which is true?
△BAC ≅ △QPR. If ∠B = 2x and ∠Q = 10, find the value of x.
2
4
5
-5
Which triangle congruence theorem proves the two triangles congruent?
SSS
SAS
not enough information
Which triangle congruence theorem proves the two triangles congruent?
SAS
SSS
Not enough information given
Which triangle congruence theorem proves the two triangles congruent?
SSS
SAS
not enough information
Which triangle congruence theorem proves the two triangles congruent?
SAS
SSS
not enough information
Find the measure of angle A.
75o
60o
30o
38o
k2+7x+10
3v2 - 4v - 7
3a2 + 4a + 1
2x² - 3x - 2
6x2 + 17x + 12 = 0
x2 + 9x + 20 = 0
2x² - 3x - 2 = 0
y = 16x2 - 8x - 24
What are the zeros to the equation
x2 - 2x = 8?
x = 2 or x = -4
x = 1 or x = -8
x = 4 or x = -2
x = 8 or x = -1
The triangle sum theorem states that the sum of the interior angles of all triangles equals ________.
100*
180*
90*
360*
<2 and <8 are ____________________.
Alternate exterior angles
Alternate interior angles
Same side exterior angles
Vertical angles
Name a pair of alternate interior angles.
<c & <d
<a & <b
<a & <c
<a & <d
<1 and <2 are ________________ angles.
Same side interior
Same side exterior
Alternate exterior
Alternate interior
Name the relationship of <1 and <2
Vertical angles
Corresponding angles
Supplementary angles
Complementary angles
<a and <f are _______________ angles
Same side interior
Alternate interior
Same side exterior
Alternate exterior
Name a pair of same side interior angles.
<3 and <4
<3 and <6
<2 and <7
< 2 and <3
Name the transversal on the image.
Line m
Line l
Line t
Corresponding angles formed by a transversal cutting through parallel lines are _________________.
Congruent
Supplementary
Complementary
Linear pairs
Name a pair of corresponding angles.
< a and <b
<d and <f
<g and <b
<b and <c
Are triangle ABC and triangle DEF similar?
No
Yes
If <a = 63* and <b = 88*, what is the measure of <c?
29*
30*
90*
180*
Determine the measure of <5 if <3 = 120*
120*
60*
180*
90*
The measure of <g = 71*, what is the measure of <a?
109*
71*
19*
151*
If the measure of <c = 35*, what is the measure of <d?
55*
45*
145*
180*
Why are <b and <f congurent?
They are alternate interior angles formed on parallel lines cut by a transversal.
They are alternate exterior angles formed on parallel lines cut by a transversal.
They are vertical angles formed on parallel lines cut by a transversal.
They are same side exterior angles formed on parallel lines cut by a transversal.
<3 and <6 are same side interior angles, if <6 = 60*, what is the measure of <3?
60*
180*
150*
120*
Corresponding angles formed on parallel lines cut by a transveral are always congruent.
True
False
Sometimes
The measure of <7 = 125*, what is the measure of <2?
125*
180*
15*
55*
<DBE = 90*; <BED = 75*. What is the measure of <EDB
15*
25*
35*
45*
