Similar Figures
Angles
What do you notice about the angles?
What angle corresponds with angle A?
What angle corresponds with angle B?
What angle corresponds with angle G?
Sides
What is the shortest side on triangle ABC?
What is the shortest side on triangle EFG?
Because and
are the shortest sides on each figure, they are corresponding sides.
What side corresponds with
and why?
What side corresponds with and why?
What do you notice about the relationship between the corresponding sides of the triangles?
Which is the correct extended proportion for the side lengths in the triangle?
What is the simplified ratio of triangle ABC to EFG? Choose all correct answers.
Scale
The side lengths show a proportional relationship.
This ratio of the corresponding sides is the scale factor.
Is this true for all cases?
Move the points around for triangle ABC. The angles and side lengths should change.
What do you notice? Do they maintain the same relationships?
For each different triangle that you make, you should have corresponding angles that have the same measure, and each set of corresponding sides should be the same simplified fraction or decimal.
SUMMARY
In similar figures, corresponding angles are _____.
In similar figures, corresponding side lengths are ____.
Similarity Statements
The similarity statement tells you which angles and sides correspond. For example, 
tells us that angle A is congruent to angle E, because they are both the first letters in the name of the triangles.
This also tells us that 
corresponds with
, because C and A are the third and first position, and G and E are in the same location on the other part of the statement.