WorksheetsCongruent and Similar Triangles
Total questions: 30
Worksheet time: 1hrs 22mins
Name
Class
Date
1.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
2.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
3.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
4.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
5.
∠U ≅ ?
a)
∠F
b)
∠G
c)
∠E
6.
Solve the proportion.
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
7.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
8.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
9.
In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)
a)
congruent, proportional
b)
proportional, congruent
c)
congruent, congruent
d)
proportional, proportional
10.
Find missing side
a)
5
b)
7
c)
9
d)
11
11.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
12.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
13.
Complete each proportion.
CB / DM = AC / ?
CB / DM = AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
14.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
15.
Which of the following is NOT true about similar figures?
a)
A) Similar figures always have the same shape.
b)
B) Similar figures always have the same size.
c)
C) Similar figures always have corresponding angles that are equal.
d)
D) Similar figures always have corresponding sides that are proportional.
16.
What does SSS stand for?
a)
Small Small Small
b)
Side Side Side
c)
Small Side Small
d)
Sam's Silly Side
17.
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
18.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
SSS
d)
Not Possible
19.
Are the two triangles congruent?
a)
Not enough information
b)
Yes, by SSA
c)
Yes by AAS
d)
Yes By ASA
20.
Given the two triangles, which congruence statement is NOT true?
a)
AB ≅ DF
b)
DE ≅ AC
c)
Δ ABC ≅ ΔDFE
d)
ΔABC ≅Δ DEF
21.
∆ABC≅∆XYZ
which is true?
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
22.
Find side length X.
a)
22.5
b)
10
c)
9
d)
7.5
23.
Are the triangles similar?
a)
Yes
b)
No
24.
What does it mean for two shapes to be similar?
a)
Same shape, but different size.
b)
Same size and same shape.
c)
Their angles add up to 180o.
d)
They are congruent.
25.
Which triangles are similar to triangle A?
a)
B
b)
C
c)
Both
d)
None
26.
Find the value of X.
a)
4
b)
6
c)
12
d)
7
27.
What is a proportion?
a)
When two ratios can be simplified
b)
When two ratios are equivalent and show the same value
c)
When two ratios have the exact same numbers
d)
When two ratios can be multiplied by 2
28.
Pick one
a)
fifty-seven
b)
1
c)
one
d)
57
29.
Do you say, "Nine and five is thirteen," or "Nine and five are thirteen" ?
a)
Both of them, the grammar is correct of both
b)
"Nine and five is thirteen"
c)
Neither. Nine and five is fourteen.
d)
"Nine and five are thirteen"
30.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
100 %
