8.2+(winbr5)

Vocabulary
__Similar Figures__- Two figures that have the same shape, but not necessarily the same size; two figures are similar if and only if one is congruent to the other image of the other by dilation. __Proportional Sides__- The sides of two polygons are proportional if all of the ratios of the corresponding sides are equal. __Proportion__- A statment of equality of two ratios.

Polygon Similarity Postulate
Two polygons are similar if and only if there is a way of setting upa correspondence between their sides and angles such that the following conditions are met: -Each pair of corresponding angles is congruent -Each pair of corresponding sides is proportional

Properties of Proportions
If a/b = c/d and b cannot equal 0 then ad = bc If a/b = c/d and a,b,c, and d cannot equal 0 then b/a = d/c If a/b = c/d and a,b,c, and d cannot equal 0 then a/c = b/d If a/b = c/d and b and d cannot equal 0 then a+b/b = c+d/d
 * Cross - multiplication Property**
 * Reciprocal Property**
 * Exchange Property**
 * "Add-One" Property**

[[image:http://farm1.static.flickr.com/33/44722873_8e6ce899f9_m.jpg width="240" height="228" link="http://www.flickr.com/photos/20236836@N00/44722873/"]]
//This picture is an example of hiow different sized triangles can be similar.//

ST / PQ equals 28.5 / 19 equals 3 /2 TU / QR equals 15 / 10 equals 3 / 2 SU / PR equals 19.5 / 13 equals 3 / 2 because all the ratios are equal, triangle PQR is congruent to triangle STU
 * Are these triangles similar?**

x/24 is equal to 20/34 x(32)=24(20) __32x__=__480__ 32x 32x x= 15
 * Finding the missing length**

http://regentsprep.org/regents/Math/proport/Lprop.htm