WorksheetsCongruent & Similar Figures
Total questions: 10
Worksheet time: 30mins
Name
Class
Date
1.
If ΔABC ≅ ΔXYZ, which statement is always true? (≅means congruent)
a)
AB = YZ
b)
∠C ≅ ∠Z
c)
∠B ≅ ∠C
d)
AC = XY
2.
If ΔDEF ≅ ΔRST, then we can conclude that DE = which side? (≅ means congruent)
a)
ST
b)
RS
c)
DF
d)
RT
3.
EFGH∼MATB
Which angle corresponds to ∠E? (∼means similar)
a)
∠M
b)
∠T
c)
∠B
d)
∠A
4.
What is the similarity statement for the triangle pair? (use the arc marks to help write corresponding parts in the same order)
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
5.
If a scale factor is less than one, the new figure will be
a)
equal
b)
smaller
c)
inverse
d)
larger
6.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
7.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
8.
The polygons are similar.
Find x.
Find x.
a)
x = 2
b)
x = 6
c)
x = 4
d)
x = 8
9.
If ΔABC ≅ ΔXYZ, which statement is always true?
a)
AB = YZ
b)
∠C ≅ ∠Z
c)
∠B ≅ ∠C
d)
AC = XY
10.
A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., what is the length of the banner?
a)
72 in
b)
60 in
c)
62 in
d)
80 in
100 %
