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Geometric Proportions
Mathematics, Grade 7
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Study Guide Geometric Proportions Mathematics, Grade 7
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GEOMETRIC
PROPORTIONS
•
Geometric
proportions
compare
two
similar
polygons.
Similar
polygons
have
equal
corresponding
angles
and
corresponding
sides
that
are
in
proportion.
•
A
proportion
equation
can
be
used
to
prove
two
figures
to
be
similar.
If
two
figures
are
similar,
the
proportion
equation
can
be
used
to
find
a
missing
side
of
one
of
the
figures.
•
Scale
drawings
and
scale
models
also
use
proportion
equations
to
determine
missing
information.
Scale
drawings
refer
to
maps,
blueprints
and
the
like.
Scale
models
refer
to
models
of
any
life
size
objects
whether
it
is
buildings,
cars,
or
planes
for
example.
How
to
use
geometric
proportions:
•
When
two
figures
are
said
to
be
similar,
it
means
that
their
sides
are
in
proportion
and
their
angles
are
equal.
If
two
rectangles
are
similar,
what
is
the
length
of
the
missing
side?
•
The
proportion
equation
can
be
used
to
determine
the
missing
side
to
be
3
m.
To
solve
similar
figures,
a
proportion
can
also
be
used.
It
is
important
to
make
sure
the
proper
sides
of
the
figure
match
up
with
the
proportion.
For
example,
are
the
figures
shown
similar?
•
By
using
the
proportion
equation,
you
can
discover
that
the
triangles
are
not
similar
because
the
lengths
of
their
sides
are
not
in
proportion.
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Permission
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for
the
purchaser
to
print
copies
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non-commercial
educational
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•
Scale
drawings
also
use
proportion
equations.
If
a
map
has
a
scale
of
1
inch
equal
5
miles,
how
far
would
6.5
inches
be?
Ex.
5
miles
=
x
miles
(5)(6.5)
=
1x
1
inch
6.5
inches
32.5
=
x,
so
6.5
inches
equals
32.5
miles
•
With
proportional
equations,
it
is
very
important
that
the
correct
units
are
lined
up
in
order
to
find
the
correct
result.
The
same
proportion
equations
can
be
use
with
scale
models.
If
a
model
car
has
the
scale
of
10
cm
=
1
foot
and
a
real
car
is
15
feet
long,
how
long
will
the
model
car
be?
•
Ex.
2
cm
=
x
cm
(2)(15)
=
1x
1
foot
15
feet
30
=
x,
so
model
will
be
30
cm
Try
This!
1.
Two
rectangles
are
similar.
What
is
the
length
of
the
missing
side?
2.
Are
the
two
triangles
similar?
3.
A
map
has
a
scale
of
1/2
inch
=
10
miles.
If
two
cities
are
65
miles
apart,
how
far
is
that
on
a
ruler?
4.
A
model
truck
has
a
length
of
15
cm.
If
the
scale
is
1cm
=
1.5
feet,
what
is
the
length
of
the
real
truck?
© Copyright NewPath Learning. All Rights Reserved.
Permission
is
granted
for
the
purchaser
to
print
copies
for
non-commercial
educational
purposes
only.
Visit
us
at
www.NewPathLearning.com.
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