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Unit 4- Test ReviewTriangle Congruence

Total questions: 28

Worksheet time: 5hrs 13mins

Name
Class
Date
1.
Remember order matters. Which of the following is true?
a)
∆FGH ≅ ∆VHW
b)
∆HFG ≅ ∆HWV
c)
∆HGF ≅ ∆VHW
d)
∆FGH ≅ ∆VWH
2.
a)
ΔABC≅ΔDCB by HL
b)
ΔABC≅ΔDCB by SAS
c)
ΔABC≅ΔDCB by SSA
d)
ΔABC≅ΔDCB by SSS
3.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
4.
Are these triangles congruent?
a)
Yes, by AAS
b)
Yes, by SAS
c)
Yes, by SSS
d)
No, this is the SSA one!!
5.

Are the triangles congruent?

a)

Yes, by SS≅

b)

Yes, by HL≅

c)

Yes, by SSS≅

d)

Yes, by SAS≅

e)

Not enough information

6.
What additional information is required for the 2 triangles to be congruent by ASA?
a)
A
b)
B
c)
C
d)
D
7.
What additional information is required for the 2 triangles to be congruent by SSS?
a)
A
b)
B
c)
C
d)
D
8.
Solve for x THEN find the degrees for angle A.
a)
44o
b)
96o
c)
-14o
d)
63o
9.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SSS
c)
SAS
d)
SSA
10.
What information is missing to determine if the triangles are congruent by SAS?
a)
CA≅ NL
b)
∠C ≅ ∠N
c)
∠A ≅ ∠L
d)
∠B ≅ ∠M
11.
If EF = 3x - 1 and HG = 2x + 4, what is EF? 
a)
-5
b)
5
c)
14
d)
28
12.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
SSS
b)
SAS
c)
ASA
d)
Not necessarily congruent
13.
Name the angles from SMALLEST to LARGEST
a)
Q, R, P
b)
P, Q, R
c)
R, P, Q
d)
R, Q, P
14.
Find the largest angle in Δ PRQ
a)
∠R
b)
∠P
c)
∠Q
d)
∠S
15.
Name the sides from LARGEST to SMALLEST
a)
KJ, KH, JH
b)
JH, KH, KJ
c)
KH, KJ, JH
d)
KH, JH, KJ
16.
Can a triangle be formed with side lengths:
4, 7, 10
a)
yes
b)
no
c)
not enough information
17.
Can a triangle be formed with side lengths:
10, 12, 22
a)
yes
b)
no
c)
not enough information
18.
Does a triangle with these side lengths exist?
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
19.
Can the sides of a triangle have lengths 3, 4, and 9?
a)
Yes
b)
No
20.
Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?
a)
12 < x < 17
b)
12 < x < 29
c)
5 < x < 17
d)
5 < x < 29
21.
What is statement #1?
a)
BC≅DC
b)
AC≅EC
c)
BC≅DC, AC≅EC
d)
∆BCA≅∆DCE
22.
What is statement #2?
a)
∠ABC≅∠EDC
b)
∠BCA≅∠DCE
c)
BC≅CD
d)
∠E≅∠A
23.
What is reason #3?
a)
SAS
b)
ASA
c)
SSS
d)
AAS
24.

What is the "statement" for step 3 of the proof?

a)

HA=HA

b)

HA=AH

c)

MA=AM

d)

MA=MA

25.
What is the "statement" for step 3 of the proof? 
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
26.

What is #3 Reason?

a)

Same Line

b)

Perpendicular Lines

c)

Segment Bisector

d)

Reflexive Property

27.
What is the justification (reason)?
a)
reflexive property
b)
definition of segment bisect
c)
definition of a midpoint
d)
substitution property
28.

What postulate or theorem proves that ΔALTΔRTL\Delta ALT\cong\Delta RTL  ?

a)

AAS Theorem

b)

ASA Postulate

c)

SAS Postulate

d)

SSS Postulate