Vocabulary
Dilations 1
Dilation 2
Similarity
Random
100
To "flip" a figure.
Reflection
100
True or False? Dilations always make a figure smaller.
False
100
Is a dilation of 3/2 an enlargement or reduction?
Enlargement (Gets bigger)
100
Draw an example of similar squares. Side lengths MUST be included!
100
Give a real life example of a non-rigid transformation.
Examples: any dilation that takes place OR scaled copy of an image
-When the doctor dilates your eye.
-When you cast a shadow using the sun or a flashlight.
-When you zoom in and out on an image- using the computer.
200
To "slide" a figure.
Translation
200
A dilation might change the size of a figure's side lengths but never the _______.
angles
200
If the image is dilated at (0,0) with a scale factor of 4. Find the new order pairs:
A (-3,6) A' ( )
B (6,1) B' ( )
A (3,6) A' ( -12, 24)
B (6,1) B' ( 24, 4)
200
These two triangles are similar. Find the Value of a/b, if the scale factor is 2.
a = 2.8
b = 4.2
200
The sum of all interior angles in a triangle will always equal this number.
180^o
300
preserves a figure's shape but no necessarily the size
non-rigid transformation
300
Dilations always produce ___________ figures.
similar
300
If the scale factor is greater than 1 (ex:2) then the dilated image is ______________ from the original figure.
Enlarged
300
Congruent figures are _____ similar.
(sometimes, always)
always
300
Similar or not similar?
Not similar - angles are not the same.
400
a fixed reference point on a plane used as the anchor to resize a figure larger or smaller.
center of dilation
400
What are TWO things you need to know when dilating a figure?
1) Center Point of Dilation
2) Scale Factor
400
If the scale factor is less than 1 (ex:1/4) then the dilated image is ____________ from the original figure.
Reduced
400
What happens to the angles when you enlarge a figure?
They stay the same.
400
Find the scale factor. Figure JKLM is the original.
Scale factor = 1/2
500
The ratio of a new, scaled measurement to the corresponding measurement of the original object.
new divided by original
scaled factor
500
How will dilating a figure with a scale factor of 1/3 change a figure? How many times bigger or smaller will it get?
It will make the figure 3 times smaller from the center of dilation.
500
Dilations can result in a congruent figure if their scale factor is this number.
1
500
These two triangles are similar. Find the missing side lengths.
s=12
t=15
500
What is the value of X and Y when the scale factor is 1/4?
X= 32 (8x4)
Y= 9 (36x1/4) or (36/4)
600
What is the scale factor of this dilation:
3
600
Describe this dilation:
This is a reduction. The center of dilation is (0,0) and the scale factor is 1/5. *Double points for naming the original coordinate points!*
600
Describe this dilation:
This is an enlargement. The center is at (-5, 1) and the scale factor is 3.
600
What is the scale factor for this reduction?
1/2
600
If point (x,y) is dilated by a scale factor of k, with the center of dilation at (0,0), what are the generalized coordinates of the image?
(x,y) --> (kx, ky)