How to Shrink it?
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Transcript How to Shrink it?
How to Shrink it?
Taylor Nicole’s House
This is Taylor
Nicole’s
illustration for a
house on
Geometry
Sketchpad.
Use your ruler
and protractor to
draw the house
on your paper.
B
m AB = 8.5 cm
mABC = 90
A
mBAD = 135
m BC = 8.5 cm
mBCE = 135
m DA = 7.0 cm
C
m CE = 7.0 cm
mADE = 90
mDEC = 90
E
D
m ED = 12.0 cm
Honey, I shrunk the house!
Lola, Lily, and Lulu love Taylor Nicole’s
house, but find it a little to large for their
liking.
In other words, they want to shrink the
house down to a smaller size while
keeping it exactly the same shape.
After a long discussion, each came up with
a strategy for drawing the smaller house.
Whose way to choose?
Lola’s Way: Keep all the angles as they
are and subtract five centimeters from the
length of each side.
Lily’s Way: Keep all the lengths as they
are and divide all the angles by two.
Lulu’s Way: Keep all the angles as they
are and divide the lengths of all the sides
by two.
What does it mean?
So after looking at Lola, Lily, and Lulu’s
methods, what rules must be followed to keep a
polygon similar?