Worksheetscongruent Triangles
Total questions: 26
Worksheet time: 46mins
Name
Class
Date
1.
State if the two triangles are congruent. If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
2.
State if the two triangles are congruent. If they are, state which theorem you would use.
a)
Yes, SAS
b)
Yes, SSS
c)
Yes, HL
d)
No
3.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
4.
Are these two triangles congruent? If so, how?
a)
Yes, by ASA
b)
Yes, by AAS
c)
Yes, by SAS
d)
Yes, they look congruent
e)
No they are not congruent
5.
What additional information is required to say these two triangles are congruent by ASA?
a)
DE ≅ LJ
b)
<F ≅ <L
c)
FE ≅ LK
d)
DE ≅ JK
6.
Find the measure of the indicated angle.
a)
34
b)
46
c)
62
d)
36
7.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
8.
What is the correct congruence statement? ΔDEC ≅________
a)
ΔAEB
b)
ΔEAB
c)
ΔBEA
d)
Not Congruent
9.
What additional information is needed to show these triangles are congruent by AAS?
a)
<L ≅ < T
b)
<K ≅ <U
c)
MK ≅ SU
d)
<L ≅ <U
10.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
11.
Which method will not prove triangles are congruent?
a)
ASA
b)
SAS
c)
SSA
d)
AAS
12.
a)
Congruent by HL
b)
Congruent by SAS
c)
Congruent by SSS
d)
Not Necessarily Congruent
13.
Use the congruence statement to find the missing part of the statement
(a)
14.
What is #3 Reason?
4 lines
15.
What is #4 Statement?
a)
∠MNL ≌ ∠ONP
b)
MN ≌ ON
c)
N ≌ N
d)
MO ≌ OM
16.
When using hypotenuse leg (HL) in a proof, you must first state ...
a)
CPCTC.
b)
there are right triangles.
c)
that vertical angles are congruent.
d)
the reflexive property.
17.
What is the justification (reason)?
a)
reflexive property
b)
definition of segment bisect
c)
definition of a midpoint
d)
substitution property
18.
What triangle congruence criteria is shown in the given diagram?
a)
ASA
b)
AAS
c)
SSA
d)
HL
19.
What is statement #1?
a)
BC≅DC
b)
AC≅EC
c)
BC≅DC, AC≅EC
d)
∆BCA≅∆DCE
20.
What is statement #2?
a)
∠ABC≅∠EDC
b)
∠BCA≅∠DCE
c)
BC≅CD
d)
∠E≅∠A
21.
What is reason #3?
(a)
22.
What is the "statement" for step 3 of the proof?
(a)
23.
The hypotenuse of a triangle is...
a)
Invisible
b)
A myth
c)
The side opposite the right angle in a right triangle
24.
Vertical angles are congruent.
a)
True
b)
False
25.
The sum of all three angles in a triangle is 180 degrees.
a)
True
b)
False
26.
Solve for x.
a)
x = 5
b)
x = 20
c)
x = 3
d)
x = 9
100 %
