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WorksheetsCongruent Triangles Review
Total questions: 45
Worksheet time: 2hrs 41mins
Name
Class
Date
1.
Are the two triangles congruent? If yes, by what postulate or theorem?
a)
A
b)
B
c)
C
d)
D
2.
Are the triangles congruent? If yes, by what postulate or theorem?
a)
A
b)
B
c)
C
d)
D
3.
Are the triangles congruent? If yes, by what postulate or theorem?
a)
A
b)
B
c)
C
d)
D
4.
Are the triangles congruent? If yes, by what postulate or theorem?
a)
A
b)
B
c)
C
d)
D
5.
What other piece of information is needed to show the triangles congruent by SSS?
a)
A
b)
B
c)
C
d)
D
6.
What other piece of information is needed to prove the triangles congruent by SSS?
a)
A
b)
B
c)
C
d)
D
7.
What other piece of information is needed to prove the triangles congruent by AAS?
a)
A
b)
B
c)
C
d)
D
8.
What other piece of information is needed to prove the two triangles congruent by SAS?
a)
A
b)
B
c)
C
d)
D
9.
What is the "statement" for step 2 of the proof?
a)
segment AD is congruent to segment AD
b)
segment AD is congruent to segment DA
c)
segment HD is congruent to segment DN
d)
Segment HD is congruent to segment ND
10.
What is the "statement" for step 3 of the proof?
a)
segment AD is congruent to segment DA
b)
segment AD is congruent to segment AD
c)
Segment HD is congruent to segment ND
d)
segment HD is congruent to segment DN
11.
What is the "reason" for step 4 of the proof?
a)
SAS
≅ theorem
≅ theorem
b)
ASA
≅ theorem
≅ theorem
c)
SSA
≅ theorem
≅ theorem
d)
CPTCT
theorem
theorem
12.
What is the "reason" for step 5 of the proof?
a)
Vertical Angle Theorem
b)
proof
c)
def. of angle bisector
d)
CPCTC Theorem
13.
What does SSA prove?
a)
Nothing
b)
Triangles similar
c)
Triangles congruent
d)
Triangle angle sum
14.
What does AAS prove?
a)
Nothing
b)
Triangles similar
c)
Triangles congruent
d)
Triangle angle sum
15.
What does ASA stand for?
a)
Another Small Angle
b)
Angle Side Angle
c)
Angle Small Angle
d)
A Small Angle
16.
What does SAS prove?
a)
Nothing
b)
Triangles similar
c)
Triangles congruent
d)
Triangle angle sum
17.
What does ASA prove?
a)
Nothing
b)
Triangles similar
c)
Triangles congruent
d)
Triangle angle sum
18.
What does SSS prove?
a)
Nothing
b)
Triangles similar
c)
Triangles congruent
d)
Triangle angle sum
19.
What does SSS stand for?
a)
Small Small Small
b)
Side Side Side
c)
Small Side Small
d)
Sam's Silly Side
20.
State if the two triangles are congruent. If they are, state how you know.
a)
Yes, A
b)
No, B
c)
Yes, C
d)
Yes, D
21.
State if the two triangles are congruent. If they are, state how you know.
a)
Yes, A
b)
No, B
c)
Yes, C
d)
Yes, D
22.
State if the two triangles are congruent. If they are, state how you know.
a)
Yes, A
b)
No, B
c)
Yes, C
d)
Yes, D
23.
Which of the following is not a valid reason to prove congruent triangles?
a)
SSA
b)
ASA
c)
SAS
d)
SSS
24.
What is statement #1?
a)
BC≅DC
b)
AC≅EC
c)
BC≅DC, AC≅EC
d)
∆BCA≅∆DCE
25.
What is statement #2?
a)
∠ABC≅∠EDC
b)
∠BCA≅∠DCE
c)
BC≅CD
d)
∠E≅∠A
26.
What is reason #3?
a)
SAS
b)
ASA
c)
SSS
d)
AAS
27.
What is reason #1?
a)
Reflexive Property
b)
Definition of Bisect
c)
Prove
d)
Given
28.
What is reason #2?
a)
Definition of Midpoint
b)
Definition of Perpendicular
c)
Definition of Bisect
d)
Definition of Right Triangle
29.
What is statement #3?
a)
FH≅FH
b)
GF≅GF
c)
IH≅IH
d)
GF≅FI
30.
What is statement #4?
a)
∆HFG≅∆IHF
b)
∆FHG≅∆IHF
c)
∆GFH≅∆IFH
d)
∆HFG≅∆IFH
31.
What is reason #4?
a)
ASA
b)
SAS
c)
HL
d)
AAS
32.
What is statement #1?
a)
AB≅DC
b)
AC≅AC
c)
AB∥DC
d)
∠A≅∠C
33.
What is reason #2?
a)
Vertical angles are congruent.
b)
Consecutive angles are congruent.
c)
Alternate interior angles are congruent.
d)
Definition of Bisect
34.
What is statement #3?
a)
AD≅BC
b)
∠B≅∠D
c)
AC≅AC
d)
∠DCA≅∠BAC
35.
What is reason #4?
a)
Reflexive Property
b)
Definition of Midpoint
c)
Vertical angles are congruent.
d)
Given
36.
What is reason #5?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
37.
What is statement #6?
a)
BC≅BC
b)
BC≅DA
c)
∠BCD≅BAC
d)
AB≅CD
38.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
39.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
40.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
AAS
d)
Not Possible
41.
Is Angle-Angle-Angle (AAA), a valid rule for proving triangles congruent?
a)
No
b)
Sometimes
c)
Yes
d)
What's a triangle?
42.
The sum of all three angles in a triangle is __________ degrees.
a)
180
b)
90
c)
360
d)
100
43.
Name the postulate, if possible, that makes the triangles congruent. Given: AM ≈ MB and everything that is marked congruent.
a)
SAS
b)
ASA
c)
AAS
d)
HL
44.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
SSA
d)
HL
45.
Fill in the missing parts of the proof.
a)
Transitive Property, SAS(Side-Angle-Side)
b)
Reflexive Property, SAS(Side-Angle-Side)
c)
Reflexive Property, Vertical Angles Thm.
d)
Transitive Property, SSS(Side-Side-Side)
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