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=__Chapter 8__=

=**__8.1 Dilations and Scale Factors Objectives__**=

Dilation** - preserves the shape but will usualy change the size.
 * __Vocab-__
 * Scalefactor** - is //n// in this equasion D(x,y)(//nx,ny)//
 * Center of dialation** - a point and an image lie on a straight line that passes through a point.
 * Contraction** - a dialation that reduces the picture.
 * Exspantion** - a dialation that enlarges the picture

=**__8.4 The Side-Splitting Theorem.__**=

__**Objectives**-__
 * Develop and prove the Side-Splitting Theorem.
 * Use the Side-Splitting Theorem to solve problems.

__Side Splitting Theorem-__** A line parallel to one side if the triangle that divides the other two sides proportionally.
 * __Vocab__
 * __Two Transversal Proportionality Corollary-__** Three lines or more parallel lines divide two intersecting transversals proportionally.

http://commons.wikimedia.org/wiki/Image:Hjconstruction.svg**
 * __Example__:

=__8.5 Indirect measurement and Additional Similarity Theorems.__= Objectives-
 * Use triangle similartity to measure distanse from one point to another.
 * Develop and use the similarity theorem for altitudes and medians.

__**Vocab Proportional Medians Theorem-**__ If two Triangles are similar then their Corresponding medians will have the same ratios.
 * __Proportional Altitudes Theorem-__** If two Triangles are similar then their corresponding Altitudes have the same ratio as their corresponding sides.
 * __Proportional Angle Bisectors Theorem-__** If two Triangles are similar then their corresponding angle bisectors have the same ratio as the corresponding sides.
 * __Proportional Segments Theorem-__** An angle bisector of a triangle divides the opposite side into twosegments that have the same ratio as the other two sides.

http://commons.wikimedia.org/wiki/Image:SimilarTriangles.jpg**
 * __Example__:

=__8.6 Area and Volume Ratios.__= Objectives-
 * Develop and use ratios for areas of similar figures.
 * Develop and use ratios for volumes of similar solids.
 * Explore relationships between cross-sectional area, weight, and height.


 * __Vocab-__ None**