1. Similarity Transformation
Standard: G. SRT.2

2. Definition: Similar polygons are polygons in which:
The ratios of the measures of corresponding sides are equal.
Corresponding angles are congruent.

3. Similar figures: figures that have the same shape but not necessarily the same size.
Dilation: when a figure is enlarged to be similar to another figure.
Reduction: when a figure is made smaller it also produces similar figures.

4. Proving shapes similar:
Similar shapes will have the corresponding sides are Proportional.
Similar shapes will have all pairs of corresponding angles congruent.

5. ∆ABC ~ ∆DEF Similarity Statement = = =8 12 4 6 B C E F 5 10
Therefore: A corresponds to D, B corresponds to E, and C corresponds to F.
The measures of all pairs of corresponding sides are Proportional. = = =

6. Each pair of corresponding angles are congruent.
<B <E <A <D <C <F

7. ∆RST ~ ∆LMN Similarity Statement
1. Write the measures of all pairs of corresponding sides .
2. Write measures of all pairs of corresponding angles.

8. Given ∆BAT ~ ∆DOT OT = 15, BT = 12, TD = 9 Find the value of x(AO).
AT = BT OT TD O 15
x = D
x = 5 B 12 9 T
Hint: set up and use Means-Extremes Product Theorem.