Dilation
Shrink or Enlarge
Dc,k (x,y)
(Kx, Ky)
C=center of dilation
K = scale factor or constant of dilation
Scale Factor
(K =)
To find the center of dilation on a graph
Extend lines from corresponding vertices & where they meet is the center of dilation
Similarity
Symbol: ~
Polygons are when corresponding angles are congruent & sides are proportional
3 ways to prove shapes are ~
AA~ ( 2 column proofs)
SSS~ (2 proportions)
SAS~ (1 proportion and the included angle)
Midsegment
Formed by connecting the midpoints of 2 sides of a triangle.
· Half the measurement of the corresponding side
· Parallel to the corresponding side.
Ratio of sides is ________________
To the ratio of the perimeter
Equal
Ratio of sides is _________________
and then set equal to the ratio of areas
Ratio of sides is _________________
and then set equal to the ratio of volumes
CSSTP
In a proof how do you say to cross multiply?
"Cross Product Property" -
In a proportion the product of the means = the product of the extremes
*work backwards- when this is what you need to prove*
Geometric Mean or
mean proportional
