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WorksheetsSimilar Figures
Total questions: 50
Worksheet time: 5hrs 53mins
Name
Class
Date
1.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
2.
Which side length corresponds with EF?
a)
MN
b)
LM
c)
OL
d)
EH
3.
Which angle corresponds with ∠X?
a)
∠N
b)
∠W
c)
∠E
d)
∠Y
4.
Triangle ABC is congruent to Triangle XYZ. What side corresponds to XZ?
a)
BC
b)
AB
c)
AC
d)
XY
5.
What side corresponds to ED?
a)
TA
b)
NA
c)
TN
d)
RD
6.
Which segment is congruent to EF?
a)
HG
b)
HF
c)
GF
d)
IE
7.
Use the congruency statement to answer the following:
<F = ___
<F = ___
a)
<H
b)
<I
c)
<G
d)
not congruent to another angle
8.
If ∆XYZ ≅ ∆KLM, then
∠Y≅ _____
∠Y≅ _____
a)
∠K
b)
∠M
c)
∠L
d)
∠Z
9.
If ∆LMK ≅ ∆LMT, then
∠K ≅ ____
∠K ≅ ____
a)
T
b)
∠T
c)
∠M
d)
∠L
10.
If ∆XYZ ≅ ∆KLM, then
∠Y≅ _____
∠Y≅ _____
a)
∠K
b)
∠M
c)
∠L
d)
∠Z
11.
If ∆LMK ≅ ∆LMT, then
∠K ≅ ____
∠K ≅ ____
a)
T
b)
∠T
c)
∠M
d)
∠L
12.
Matching angles are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Angles
13.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
14.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary
15.
If ⊿ABC ∼⊿XYZ, then AB/XY = __/YZ.
a)
XY
b)
AB
c)
BC
d)
AC
16.
Which side length corresponds with EF?
a)
MN
b)
LM
c)
OL
d)
EH
17.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
18.
Which angle corresponds with ∠X?
a)
∠N
b)
∠W
c)
∠E
d)
∠Y
19.
∆ABC≅∆XYZ
which is true?
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
20.
Triangle ABC is congruent to Triangle XYZ. What side corresponds to XZ?
a)
BC
b)
AB
c)
AC
d)
XY
21.
What side corresponds to ED?
a)
TA
b)
NA
c)
TN
d)
RD
22.
Which is a correct congruence statement.
a)
A
b)
B
c)
C
d)
D
23.
Which is a correct congruence statement.
a)
A
b)
B
c)
C
d)
D
24.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
25.
Remember order matters. Which of the following is true?
a)
∆FGH ≅ ∆VHW
b)
∆HFG ≅ ∆HWV
c)
∆HGF ≅ ∆VHW
d)
∆FGH ≅ ∆VWH
26.
If ∆LMK ≅ ∆LMT, then
∠K ≅ ____
∠K ≅ ____
a)
T
b)
∠T
c)
∠M
d)
∠L
27.
ABCDE ∼ GHJDF. ∠B ≅
a)
∠H
b)
∠D
c)
∠F
d)
∠J
28.
ABCDE ∼ GHJDF. EA ≅
a)
FG
b)
BC
c)
DJ
d)
∠J
29.
The following triangles are similar.
∠B ≅
∠B ≅
a)
D
b)
A
c)
E
d)
F
30.
The following triangles are similar.
AC ≅
AC ≅
a)
DF
b)
AB
c)
ED
d)
FC
31.
What is the similarity statement for the triangle pair?
a)
∠Y~∠W
b)
∠X~∠N
c)
∠Z~∠E
d)
∠Z~∠W
32.
If ΔABC ~ ΔXYZ, which statement is always true?
a)
AB = YZ
b)
∠C ≅ ∠Z
c)
∠B ≅ ∠C
d)
AC≅ XY
33.
If ΔABC ~ ΔXYZ, which statement is always true?
a)
BC = XZ
b)
∠B ≅ ∠Z
c)
∠A ≅ ∠X
d)
AB = YZ
34.
If ΔABC ~ ΔXYZ, which statement is always true?
a)
BC = AZ
b)
∠C ≅ ∠A
c)
∠B ≅ ∠A
d)
AC ≅ XZ
35.
If ΔABC ~ ΔXYZ, which statement is always true?
a)
AB = AZ
b)
∠B ≅ ∠Y
c)
∠X ≅ ∠C
d)
AC = XC
36.
If ΔABC ~ ΔXYZ, which statement is always true?
a)
BC ≅ YZ
b)
∠C ≅ ∠Y
c)
∠Z ≅ ∠Y
d)
AC = YZ
37.
If ΔDEF ~ ΔRST, then we can conclude that DE ≅ what?
a)
ST
b)
RS
c)
DF
d)
RT
38.
If ΔDEF ~ ΔRST, then we can conclude that ST ≅ what?
a)
ST
b)
RT
c)
EF
d)
RF
39.
If ΔDEF ~ ΔRST, then we can conclude that EF ≅ what?
a)
ST
b)
RT
c)
DF
d)
RS
40.
If ΔDEF ~ ΔRST, then we can conclude that ∠T ≅ ____.
a)
∠F
b)
∠E
c)
∠D
d)
EF
41.
If ΔDEF ~ ΔRST, then we can conclude that ∠S ≅ ____.
a)
∠F
b)
∠E
c)
∠D
d)
DE
42.
Which of the following is saying the same thing as ΔXYZ ≅ ΔLMN?
a)
ΔXZY ≅ ΔLNM
b)
ΔXMN ≅ ΔLZY
c)
ΔZYX ≅ ΔLMN
43.
Which of the following is saying the same thing as ΔXYZ ≅ ΔLMN?
a)
ΔXYZ ≅ ΔLNM
b)
ΔXMN ≅ ΔLZY
c)
ΔZYX ≅ ΔNML
44.
Which of the following is saying the same thing as ΔXYZ ≅ ΔLMN?
a)
ΔXYZ ≅ ΔLNM
b)
ΔXMN ≅ ΔLZY
c)
ΔZYX ≅ ΔNML
45.
All corresponding angles are congruent in similar figures.
a)
True
b)
False
46.
All corresponding sides are proportional (same ratio) in similar figures.
a)
True
b)
False
47.
Tell whether the two figures are congruent.
a)
Yes, same size and same shape
b)
No, same shape but different sizes
c)
No, different size and different shapes
48.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
49.
Some of the corresponding sides are proportional (same ratio) in similar figures.
a)
True
b)
False
50.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary
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