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Plane Figures: Closed Figure Relationships
Mathematics, Grade 7
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Study Guide Plane Figures: Closed Figure Relationships Mathematics, Grade 7
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PLANE
FIGURES:
CLOSED
FIGURE
RELATIONSHIPS
Plane
figures
in
regards
to
closed
figure
relationships
refer
to
the
coordinate
plane
and
congruent
figures,
circles,
circle
graphs,
transformations
and
symmetry.
•
Congruent
figures
have
the
same
size
and
shape.
By
using
coordinates
on
the
coordinate
plane,
figures
can
be
proven
congruent.
•
Circles
are
figures
that
have
a
center,
a
diameter
and
radius.
Circles
can
be
congruent
if
the
diameter
is
the
same.
•
Circle
graphs
are
used
to
represent
1
unit
or
100%.
A
circle
graph
can
be
used
to
find
the
angle
measure
of
a
part
of
the
circle
or
the
percent
of
a
part
of
the
circle.
•
Transformations
are
made
up
of
translations,
rotations
and
reflections.
A
transformation
of
a
figure
can
be
shown
on
the
coordinate
plane.
A
translation
of
a
figure
keeps
the
size
and
shape
of
a
figure,
but
moves
it
to
a
different
location.
A
rotation
turns
a
figure
about
a
point
on
the
figure.
A
reflection
of
a
figure
produces
a
mirror
image
of
the
figure
when
it
is
reflected
in
a
given
line.
•
Lines
of
symmetry
break
a
figure
into
equal
parts
that
are
mirror
images
of
each
other.
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How
to
use
plane
figures:
closed
figure
relationships
Congruent
figures
have
the
same
size
and
shape.
Two
figures
drawn
on
a
coordinate
plane
can
be
congruent.
Circles
can
be
congruent
if
they
also
have
the
same
size
and
shape.
For
example,
are
the
circles
congruent?
The
circles
are
not
congruent
because
the
diameters
are
different.
One
has
a
diameter
of
10
and
the
other
has
a
diameter
of
8.
Circle
graphs
are
used
to
represent
1
unit
or
100%.
If
a
circle
graph
has
a
section
that
represents
45%,
the
angle
measure
can
be
found
by
multiplying
45%
·360°.
A
circle
graph
can
also
be
used
to
find
the
percent.
For
example,
if
a
circle
graph
represents
500
children
with
different
color
hair
and
350
have
brown
hair,
what
percent
would
that
be?
Ex.
350
÷
500
=
.7
or
70%
have
brown
hair.
Transformations
are
translations,
rotations
and
reflections.
•
A
translation
moves
a
figure
while
maintaining
its
size
and
shape.
If
a
figure
is
drawn
in
the
coordinate
plane,
the
coordinates
can
be
translated
or
moved.
A
translation
of
4
units
to
the
right
and
3
units
up
can
be
found
by
adding
4
to
the
x
coordinate
and
adding
3
to
the
y
coordinate
of
each
point
in
the
original
figure.
•
A
rotation
turns
a
figure
a
certain
number
of
degrees
about
a
point
in
a
figure.
For
example,
what
would
a
90°
counter-clockwise
rotation
about
point
A
look
like?
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educational
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The
rectangle
when
rotated,
retains
its
size
and
shape,
but
is
turned.
The
point
B
has
been
turned
90°
to
become
point
B'.
•
A
reflection
is
a
mirror
image
of
a
figure
about
a
line.
For
example,
the
letter
T
reflected
in
the
y-axis
would
look
as
follows:
Line
of
symmetry
breaks
a
figure
into
equal
parts
that
are
mirror
images.
A
heart
has
vertical
line
symmetry
because
it
is
the
only
way
to
break
a
heart
into
equal
parts
that
are
mirror
images
of
each
other.
© 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.
Try
This!
1.
Are
the
figures
shown
congruent?
2.
If
a
circle
graph
represents
150
students
and
99
are
girls,
what
percent
are
girls?
3.
The
coordinates
of
a
triangle
are
(1,
2),
(5,
2)
and
((3,
4).
What
are
the
coordinates
of
a
new
triangle
after
a
translation
of
3
to
the
left
and
5
down?
4.
Do
the
figures
show
a
90°
clockwise
rotation?
5.
What
does
the
letter
U
in
quadrant
I,
look
like
when
it
is
reflected
in
the
x-axis?
6.
How
many
lines
of
symmetry
does
the
letter
I
have?
© 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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