Similarity and Congruence:
Similar triangles :
If two triangles are similar then their corresponding angles are equal and the corresponding sides will be in proportion.
For any two similar triangles :
▪ Ratio of sides = Ratio of medians = Ratio of heights = Ratio of circumradii = Ratio of Angular bisectors.
▪ Ratio of areas = Ratio of the square of the sides.
Tests of similarity : (AA / SSS / SAS)
Congruent triangles
If two triangles are congruent then their corresponding angles and their corresponding sides are equal.
Tests of congruence : (SSS / SAS / AAS / ASA)
