Mr.
Belvedere
Math
9
Name:______________________________
Similarity
Problems
Worksheet
1. A
building
has
a
shadow
that
is
25
feet
long.
A
person
6
feet
tall
cast
a
similar
shadow.
How
long
is
the
person’s
shadow?
6
ft
200
ft
25
ft
???
2. A
model
train
is
made
at
a
scale
of
1
:
80.
The
real
train’s
measurements
are
shown
below.
Will
the
model
fit
into
packaging
18
cm
long
and
8
cm
tall?
540
cm
1350
cm
3. What
is
the
length
of
the
missing
side
if
the
two
triangles
(big
and
small)
are
similar?
8
4. A
picture
of
a
sailboat
is
as
shown.
What
is
the
scale
factor
if
the
real‐life
boat
is
7500
cm
long?
4
6
?
4
cm
5. A
group
of
engineers
are
building
a
bridge
across
a
river
and
they
need
to
determine
how
far
it
is
to
cross
the
river.
To
accomplish
this
they
will
use
similar
triangles.
Determine
the
length
across
the
river.
???
RIVER
175
m
125
m
6. A
photocopier
creates
images
at
a
75%
scale.
If
the
original
document
has
dimensions
of
8”
by
11.5”,
what
are
the
images
dimensions?
7. The
athletic
leadership
class
is
creating
a
banner
for
the
rugby
team.
The
drawing
they’re
using
is
50
cm
wide
and
15
cm
tall.
What
scale
would
be
used
if
the
real
banner
will
be
500
cm
wide?
8. The
box
for
a
50‐pack
of
greeting
cards
has
width
and
length
of
7.6
cm
and
5.1
cm.
Rebecca
is
making
her
card
from
a
20
cm
by
28.75
cm
photo.
What
is
the
maximum
scale
she
can
use
to
fit
the
cards
into
the
box?
25
m