Two triangles are similar if and only if the corresponding sides are in proportion and the corresponding angles are congruent. To show two triangles are similar, it is sufficient to show that two angles of one triangle are congruent (equal) to two angles of the other triangle.
How do you prove two overlapping triangles are similar?
- Side-side-side (SSS) – all three sides are congruent.
- Side-angle-side (SAS) – two sides and the included angle are congruent.
- Angle-side-angle (ASA) – two angles and the included side are congruent.
What are the two conditions for two triangles to be similar?
Two triangles are similar if they meet one of the following criteria. : Two pairs of corresponding angles are equal. : Three pairs of corresponding sides are proportional. : Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.
