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4-6 Practice
By Patrick Silvey
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Last updated almost 3 years ago
23 questions
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Question 1
1.
Select
all
of the following that would correct the errors made by the student.
The triangles are congruent, but by AAS.
The triangles are not congruent.
The congruence statement should say triangle
LMN
is congruent to
RSQ
.
The triangles are congruent, but by SAS.
There are no errors.
Question 2
2.
What additional information is necessary to prove the triangles congruent by ASA?
Segment
JK
is congruent to segment
NO
.
Segment
KL
is congruent to segment
OM
.
Segment
LJ
is congruent to segment
MN
.
Angle
L
is congruent to angle
M
.
The triangles are already congruent by ASA.
Question 3
3.
What additional information is necessary to prove the triangles congruent by AAS?
Segment
JK
is congruent to segment
NO
.
Segment
KL
is congruent to segment
OM
.
Segment
LJ
is congruent to segment
MN
.
Angle
L
is congruent to angle
M
.
The triangles are already congruent by AAS.
Question 4
4.
Select
all
of the tranformations that could be used to attempt to map figure
DEF
to figure
JKL
.
Rotate around point
J
until
E
coincides with
K
.
Rotate around point
J
until
D
coincides with
K
.
Translate along directed line segment
EJ
.
Rotate around point
J
until
C
coincides with
K
.
Translate along directed line segment
DJ
.
Question 5
5.
Fill in the blank:
Triangles with angle-side-side congruence are __________ congruent.
Question 6
6.
Triangle
ADC
is congruent to triangle _______ by _______. Triangle
CAB
is congruent to triangle _______ by _______.
Question 7
7.
Would figures
ABCD
and
GHJK
have to be congruent?
The figures must be congruent.
The figures may be congruent, but don't have to be.
The figures definitely are not congruent.
Question 8
8.
What is the value of
x
?
Question 9
9.
What is the value of
y
?
Question 10
10.
What is the measure of angle
E
?
Question 11
11.
What is the length of segment
AC
?
Question 12
12.
If the triangles are congruent, fill in the blank to complete the congruence statement. If not, write "not congruent".
Triangle
JLK
is congruent to triangle ______.
Question 13
13.
Select
all
of the following that would be necessary to prove the triangles congruent by ASA.
A. Segment
JK
is congruent to segment
NO
.
B. Segment
KL
is congruent to segment
OM
.
C. Segment
LJ
is congruent to segment
MN
.
D. Angle
L
is congruent to angle
M
.
E. The triangles are already congruent by ASA.
Question 14
14.
Select
all
of the following that would be necessary to prove the triangles congruent by AAS.
A. Segment
JK
is congruent to segment
NO
.
B. Segment
KL
is congruent to segment
OM
.
C. Segment
LJ
is congruent to segment
MN
.
D. Angle
L
is congruent to angle
M
.
E. The triangles are already congruent by AAS.
Question 15
15.
If the triangles are congruent, fill in the blank to complete the congruence statement. If not, write "not congruent".
Triangle
QPR
is congruent to triangle ______.
Question 16
16.
Select
all
of the following that would be necessary to prove the triangles congruent by ASA.
A. Segment
PR
is congruent to segment
SU
.
B. Segment
PQ
is congruent to segment
ST
.
C. Angle
R
is congruent to angle
U
.
D. The triangles are already congruent by ASA.
Question 17
17.
Select
all
of the following that would be necessary to prove the triangles congruent by AAS.
A. Segment
PR
is congruent to segment
SU
.
B. Segment
PQ
is congruent to segment
ST
.
C. Angle
R
is congruent to angle
U
.
D. The triangles are already congruent by AAS.
Question 18
18.
If the triangles are congruent, fill in the blank to complete the congruence statement. If not, write "not congruent".
Triangle
XWZ
is congruent to triangle ______.
Question 19
19.
Select
all
of the following that would be necessary to prove the triangles congruent by ASA.
A. Segment
WZ
is congruent to segment
YX
.
B. Segment
ZX
is congruent to segment
XZ
.
C. Segment
XW
is congruent to segment
ZY
.
D. Angle
XZW
is congruent to angle
ZXY
.
E. The triangles are already congruent by ASA.
Question 20
20.
Select
all
of the following that would be necessary to prove the triangles congruent by AAS.
A. Segment
WZ
is congruent to segment
YX
.
B. Segment
ZX
is congruent to segment
XZ
.
C. Segment
XW
is congruent to segment
ZY
.
D. Angle
XZW
is congruent to angle
ZXY
.
E. The triangles are already congruent by AAS.
Question 21
21.
Are the triangles congruent?
Yes, they must be congruent.
No, they are not congruent.
They may be congruent, but do not have to be.
Question 22
22.
Add a congruency symbol to both triangles that would make them congruent by ASA.
visibility
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Question 23
23.
Add a congruency symbol to both triangles that would make them congruent by AAS.
visibility
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