7cmp06se_SS3.qxd 5/18/06 3:07 PM Page 39
mp06se_SS3.qxd 5/18/06 3:07 PM Page 39
Rep-Tile
Rep-TileQuadrilaterals
Quadrilaterals
3.1
3.1
Name_________________________________________________ HR#__________ 3.1 Rep-Tile Quadrilaterals
next
problem,
youwill
will see
see ififrectangles
and
non-rectangular
I n the
n the
next
problem,
you
rectangles
and
non-rectangular
Rep-Tile
Quadrilaterals
3.1n Iquadrilaterals
quadrilaterals
are
also
rep-tiles.
are also
rep-tiles.
Rep-Tile
Quadrilaterals
next problem, you
will see if rectangles and non-rectangular
I the
3.1
Rep-Tile
Quadrilaterals
are also rep-tiles.
3.1Iquadrilaterals
n the next problem, you will see if rectangles and non-rectangular
Forming Rep-Tiles With Similar Quadrilaterals
Problem also
3.1rep-tiles.
Rep-Tile
n the nextare
problem,
you will seeRep-Tiles
if rectangles and
non-rectangular
IProblem
Forming
With
Similar Quadrilaterals
3.1Quadrilaterals
3.1Iquadrilaterals
n quadrilaterals
the next
problem,
you
will
see
if
rectangles
and
non-rectangular
are
also
rep-tiles.
Sketch and make several copies of each of the following shapes:
mp06se_SS3.qxd 5/18/06 3:07 PM Page 39
Forming
Rep-Tiles
With
Similar
Problem
quadrilaterals
are
also
rep-tiles.
3.1
Sketch
make
several
copies
of each of the
following
shapes:Quadrilaterals
non-square
rectangle
• aand
n the
problem,rectangle
you will
see if rectangles and non-rectangular
ISketch
a•non-square
parallelogram
• next
Forming
Rep-Tiles
With Similar
Problem
anda non-rectangular
make
several
copies
of
each of the following
shapes: Quadrilaterals
3.1
quadrilaterals are also rep-tiles.
a
trapezoid
a
non-rectangular
parallelogram
•
Forming Rep-Tiles With Similar Quadrilaterals
3.1
a•non-square
rectangle
•Problem
Forming
Rep-Tiles
With
Problem
Sketch
and
make
several
copiescan
of each
of thetofollowing
shapes:
3.1
Which of these shapes
fit together
make a Similar
larger
shape Quadrilaterals
that is
aA.
trapezoid
a•non-rectangular
parallelogram
•Sketch
similar
to
the
original?
Make
a
sketch
to
show
how
the
copies
fit
and
make
several
copies
of
each
of
the
following
shapes:
non-square
rectangle
• aaA.
Which
ofseveral
these shapes
can
fit together
to make ashapes:
larger shape that is
Sketch
and
make
copies
of
each
of
the
following
together.
trapezoid
• non-rectangular
Forming
Rep-Tiles With Similar Quadrilaterals Problem
3.1
a non-square
rectangle
parallelogram
similar
to the
original? Make a sketch to show how the copies fit
• aa•non-square
*Use t
he t
able o
n t
he n
page to torA.
ecord results. rectangle
B. Look
at your
sketches
Question
•A.•Which
of these
shapes
canfrom
fitext together
make yaour larger
shape that is
a
non-rectangular
parallelogram
together.
a
trapezoid
•
a non-rectangular
Sketch
and
make
several
copies
of
each
of
the
following
shapes:
is the
scaleMake
factor afrom
the original
thecopies
larger fit
figure?
similar1.toWhat
the original?
sketch
to showfigure
howto
the
parallelogram
• •B.
a trapezoid
Look
at
your
sketches
from
Question
A.
Explain.
A.
Which
of
these
shapes
can
fit
together
to
make
a
larger
shape
that
is
non-square
together. rectangle
trapezoid
•• aaA.
1. What
isoriginal?
theparallelogram
scale
factor
from
figure
the
larger
figure?
similar
toHow
thethese
Make
sketch
tooriginal
show
how
copies
fit that
Which
of
shapes
can afit
together
to make
a the
larger
shape
is
2.
does
the perimeter
of
thethe
new
figure
relate
to to
the
perimeter
of
non-rectangular
•A.B.aWhich
Look at
your
sketches
from
Question
A.make a larger shape that is
of
these
shapes
can
fit
together
to
the
original?
Explain.
similar
to
the
original?
Make
a
sketch
to
show
how
the
copies
fit
together.
trapezoid
• asimilar
to How
thethe
original?
Make
a sketch
to show
how
the
copies
1. together.
What
is
scale
the figure
original
figure
toarea
the
larger
figure?
3.
does
thefactor
area
offrom
the
new
relate
torelate
the
of
thefit
2.
How
does
the
perimeter
of
the
new
figure
to
the
perimeter
of
B. Look at your sketches from Question A.
Explain.
A. together.
Which
of original?
these
shapes can fit together to make a larger shape that is
the
original?
B.
Look
at
yourscale
sketches
from
Question
A. figure to the larger figure?
1.
What
is
the
factor
from
thenew
original
similar
to
the
original?
Make
a the
sketch
tofigure
show
how the
copies
fit
2. How
does
the
perimeter
of
relate
toA.
the
perimeter
of
C.at1.your
Extend
the
rep-tile
patterns
youA.
made
in Question
Do
this
B. Look
sketches
from
Question
3. What
How is
does
the
area
of the
new
figure
relate
to the
area
of by
the
1.
the
scale
factor
from
the
original
figure
to
the
larger
Explain.
together.
adding copies of the original figure to make larger figures that arefigure?
the
original?
1. What
is the scale factor from the original figure to the larger figure?
original?
Explain.
similar
to the original.of the new figure relate to the perimeter of
2. How
does
the
B. Look
at your
A. relate to the area of the
3. Explain.
How
doessketches
the perimeter
area from
of theQuestion
new figure
C. 2.
1. How
Extend
the
rep-tile
patterns
you
made
Question
A. Do
this by of
does
the
perimeter
of the
new
figure
relate to the
perimeter
the
original?
2.
Make
sketches
showing
how
the
figures
fitintogether.
original?
2.
1. How
What
is
the
scale
factor
from
the
original
figure
to
the
larger
figure?
does
the
perimeter
of
the
new
figure
relate
to
the
perimeter
adding
copies
of
the
original
figure
to
make
larger
figures
thatof
are
the
original?
3. does
Find
the scale
original
figure
to each
figure.
3. Explain.
How
the
areafactor
of thefrom
neweach
figure
relate
to the
areanew
of the
the
original?
C. 1. Extend
thetorep-tile
patterns you made in Question A. Do this by
similar
the area
original.
Explain.
3.
How
does the
of the new figure relate to the area of the
original?
adding
copies
of
the
original
figure
make
larger
figures
that are
2. How
How
does
the
perimeter
of
the
new
figure
relate
to
theof
perimeter
of
3.
does
the
area
of
the
new
figure
relate
to
the
area
the
2. original?
Make
sketches
showing
how
theto
figures
fit
together.
4. Explain
what the
scale
factor
indicates
about
the
corresponding
1. original?
C.
Extend
the
rep-tile
patterns
you
made
in
Question
A.
Do
this
by
similar
to
the
original.
the
original?
side lengths, perimeters, and areas.
3. Extend
Find
thethe
scale
factor
fromfigure
each
to
each
new
figure.
C. 1.
rep-tile
patterns
you original
made
infigure
Question
A. Do
this
adding
copies
of
the
original
to
make
larger
figures
that
areby
2.
Make
sketches
showing
how
the
figures
fit
together.
3.
How
does
the
area
of
the
new
figure
relate
to
the
area
of
the
C. 1. Extend
the
rep-tile
patterns
you
made
in
Question
A.
Do
this
by
Explain.
Homework
starts
on
page
44.
adding
copies
of the original figure to make larger figures that are
similar
to the
original.
original?
copies
offactor
the
figure
to make
larger
figures
are
3. adding
Find
the
scale
from factor
each
original
figure
to the
each
newthat
figure.
similar
to
the
original.
4.
Explain
what
theoriginal
scale
indicates
about
corresponding
2. similar
Make
sketches
showing
how
the
figures
fit
together.
to
the
original.
Explain.
C. 1. Extend
the
rep-tile
patterns
you
made
in
Question
A.
Do this by
Make l
arger r
eptiles t
han y
ou d
id i
n Q
uestion A
. side
lengths,
perimeters,
and
areas.
2. Make sketches showing how the figures fit together.
3. Make
Find
the
scale of
factor
from
each
original
figure
to each
newthat
figure.
copies
the
original
figure
to make
larger
figures
are
2.
sketches
showing
how
the
figures
fit
together.
4. adding
Explain
what
the
scale
factor
indicates
about
the
corresponding
3.
Find
the
scale
factor
from
each
original
figure
to
each
new
figure.
Homework
starts
on
page
44.
Explain.
similar
to theperimeters,
original.
side the
lengths,
areas.
3. Find
scale factor fromand
each
original figure to each new figure.
Explain.
4. Explain.
Explain
what the
scale factor
indicates
the corresponding
2.
Make
sketches
showing
how the
figuresabout
fit together.
Homework
starts
page
44.
4.
Explain
theonscale
factor
indicates about the corresponding side
lengths,what
perimeters,
and
areas.
3. Explain
Find thewhat
scalethe
factor
from
each
originalabout
figurethe
to each
new figure.
scale
factor
indicates
corresponding
4.
side lengths,
perimeters,
and
areas.
Explain.
side
lengths, perimeters,
and 44.
areas.
Homework
starts on page
Homework
starts
on
page
44.
3 Similar Polygons
39
4. Explain what the scale factor indicates
about the Investigation
corresponding
Homework starts on page 44.
side lengths, perimeters, and areas.
Homework starts on page 44.
Investigation 3 Similar Polygons
39
Investigation 3 Similar Polygons
39
Investigation 3 Similar Polygons
39
Investigation 3 Similar Polygons
39
Investigation 3 Similar Polygons
39
Shape Larger Shape Number Of Tiles Scale Factor