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WorksheetsCongruent Similar Triangles
Total questions: 50
Worksheet time: 4hrs 37mins
Name
Class
Date
1.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not enough information
2.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not enough information
3.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not enough information
4.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not enough information
5.
Name the postulate, if possible, that makes the triangles congruent.
a)
AAA
b)
ASA
c)
AAS
d)
Not enough information
6.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
AAS
d)
Not enough information
7.
Name the postulate, if possible, that makes triangles AED and CEB congruent.
a)
SSA
b)
SAS
c)
HL
d)
Not enough information
8.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not enough information
9.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
10.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
11.
Which of the following cannot be used to prove triangles congruent?
a)
HL
b)
AAA
c)
SSS
d)
SAS
12.
All of the following prove triangles similar except
a)
AA
b)
SSS
c)
AAS
d)
SAS
13.
What similarity theorem would prove that these triangles are similar?
a)
SAS ∼
b)
SSS ∼
c)
AA ∼
d)
Cannot be proven similar
14.
A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?
a)
x = 19 cm
b)
x = 11 cm
c)
x = 16 cm
d)
x = 16.5 cm
15.
Solve for f.
a)
6
b)
4
c)
3
d)
8
16.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
17.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
18.
Find side length X.
a)
30
b)
25
c)
15
d)
40
19.
Find side length X.
a)
30
b)
10
c)
9
d)
7.5
20.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
21.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
22.
Find x.
a)
54/7
b)
56/3
c)
11
d)
21/2
23.
What is the "statement" for step 2 of the proof?
a)
AH=AN
b)
AD=AD
c)
HD=ND
d)
∠HAD ≅ ∠NAD
24.
What is the "statement" for step 3 of the proof?
a)
HA=HA
b)
∆AMD ≅ ∆ATH
c)
MA=TA
d)
MA=MA
25.
What is the "statement" for step 3 of the proof?
a)
∠D ≅ ∠C
b)
∠A ≅ ∠B
c)
AE = BE
≅ thrm
≅ thrm
d)
∠AED ≅ ∠BEC
26.
What is the "reason" for step 3 of the proof?
a)
vertical angles are congruent
b)
given
c)
reflexive property
d)
CPCTC
27.
What is the "reason" for step 4 of the proof?
a)
AAS
b)
ASA
c)
SAS
d)
SSS
28.
If the "reason" for step 4?
a)
AAS
b)
ASA
c)
SAS
d)
SSS
29.
Fill in the two missing reasons in the proof.
a)
Transitive Property, SAS
b)
Reflexive Property, SAS
c)
Reflexive Property, ASA
d)
Transitive Property, ASA
30.
Identify the missing statement for the given reason
a)
LN≅MJ
b)
JK≅NK
c)
MK≅LK
d)
∠JKM≅∠NKL
31.
What would be the correct "given" statements for this diagram?
a)
∡A≅∡C, and segment DB is the angle bisector of ∡CDA
b)
BD=BD, and DB=DB
c)
∡A≅∡C, and segment DB is the angle bisector of ∡CBA
d)
∡B≅∡D, segment DB is the angle bisector of ∡DCA.
32.
Find the value of x
a)
72
b)
67
c)
65
d)
54
33.
Find m∠A
a)
60
b)
120
c)
15
d)
30
34.
Find x
a)
180
b)
57
c)
61.5
d)
32.7
35.
If an Isosceles triangle has two angles that are 76°. Then what is the measure of the vertex angle?
a)
39°
b)
28°
c)
76°
d)
152°
36.
Find the measure of the indicated angle.
a)
145⁰
b)
24⁰
c)
20⁰
d)
Cannot be determined
37.
AB is a midsegment. Find the length of AB
a)
6
b)
11
c)
17
d)
68
38.
If G is the centroid of ΔABC and BE= 18. Find the length of BG.
a)
6
b)
12
c)
9
d)
Cannot be determined
39.
If G is the centroid of ΔABC and GF= 4. Find the length of GC.
a)
4
b)
8
c)
12
d)
Cannot be determined
40.
If G is the centroid of ΔABC and GE= 7. Find the length of BE.
a)
7
b)
14
c)
21
d)
Cannot be determined
41.
Find SV
a)
18
b)
36
c)
21
d)
9
42.
Find m∠JKL
a)
90
b)
76
c)
38
d)
83
43.
Find HG
a)
28
b)
14
c)
41
d)
7
44.
Find PQ
a)
10
b)
3
c)
-2
d)
5
45.
Find AD AND BC
a)
AD=12; BC=5
b)
AD=5; BC=12
c)
AD=12; BC=16
d)
AD=5; BC=16
46.
Find JM
a)
5
b)
12
c)
6
d)
Cannot be determined
47.
Find QR
a)
20
b)
4
c)
5
d)
10
48.
State if the two triangles are congruent. If they are, state which theorem you would use.
a)
Yes, SAS
b)
Yes, ASA
c)
Yes, HL
d)
Not congruent
49.
What information is missing to determine if the triangles are congruent by HL?
a)
∠G ≅ ∠X
b)
∠H ≅ ∠W
c)
GI ≅ XV
d)
GH ≅ XW
50.
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
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