Dilation

Shrink or Enlarge

D_{c,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