Conditions for Similarity:
Angle-Angle (AA) Rule: Two shapes are similar if two pairs of their matching angles are equal.
Side-Angle-Side (SAS) Rule: Two triangles are similar if one angle is the same as another angle, and the sides next to those angles are in the same ratio.
Side-Side-Side (SSS) Rule: Two triangles are similar if the lengths of their matching sides have the same ratio.
Conditions for Congruence:
Angle-Side-Angle (ASA) Rule: Two shapes are congruent if two angles and the side between them in one shape are the same as two angles and the side between them in another shape.
Side-Side-Side (SSS) Rule: Two triangles are congruent if all three pairs of matching sides are the same length.
Side-Angle-Side (SAS) Rule: Two triangles are congruent if two sides and the angle between them in one triangle are the same as two sides and the angle between them in another triangle.
Conditions for Similarity:
Angle-Angle (AA) Rule: Two shapes are similar if two pairs of their matching angles are equal.
Side-Angle-Side (SAS) Rule: Two triangles are similar if one angle is the same as another angle, and the sides next to those angles are in the same ratio.
Side-Side-Side (SSS) Rule: Two triangles are similar if the lengths of their matching sides have the same ratio.
Conditions for Congruence:
Angle-Side-Angle (ASA) Rule: Two shapes are congruent if two angles and the side between them in one shape are the same as two angles and the side between them in another shape.
Side-Side-Side (SSS) Rule: Two triangles are congruent if all three pairs of matching sides are the same length.
Side-Angle-Side (SAS) Rule: Two triangles are congruent if two sides and the angle between them in one triangle are the same as two sides and the angle between them in another triangle.