Triangle Similarity

similarity transformation

a combination of transformations that produce a figure similar to the original

To determine similarity

Determine transformations or verify congruent angles & proportional sides

Similarity criteria

AA, SAS, SSS

Triangle Proportionality Theorem

a line parallel to one side of a triangle divides the other 2 sides of the triangle proportionally

Angle Bisector Theorem

If a point is on the bisector of an angle, then the point is equidistant from the sides of the angle

Triangle Angle Bisector Theorem

the angle bisector of one angle of a triangle divides the opposite side of the triangle into segments proportional to the lengths of the other two sides of the triangle

equal sign with a caret over it

symbol for “corresponds to”