Download 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
mABC = 90
A
mBAD = 135
m BC = 8.5 cm
mBCE = 135
m DA = 7.0 cm
C
m CE = 7.0 cm
mADE = 90
mDEC = 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?