two
three
Yes, it does.
The Angle Side Angle postulate( ASA) states that if two angles and the included angle of one triangle are congruent to two angles and the included side of another triangle, then these two triangles are congruent.
The perpendicular postulate states that if there is a line, as well as a point that is not on the line, then there is exactly one line through the point that is perpendicular to the given line.
two
similar
The AA similarity theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. This theorem is based on the Angle-Angle (AA) postulate, which states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
The AA similarity postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. However, the AA congruence postulate is not needed because knowing two angles of one triangle are congruent to two angles of another triangle doesn't guarantee that the triangles are congruent, as the side lengths can still be different.
That's not a postulate. It's a theorem. And you have stated it.
three
The SAS (Side-Angle-Side) postulate.
SAA Congruence Postulate states that if two angles and a side opposite one of the angles are the same, the triangles are congruent.
SSS is a postulate used in proving that two triangles are congruent. It is also known as the "Side-Side-Side" Triangle Congruence Postulate. It states that if all 3 sides of a triangle are congruent to another triangles 3 sides, then both triangles are congruent.
The SAS Postulate states if two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
Yes, it does.
Side Side Side when comparing two triangles the side side side postulate states that if three sides from one triangle are congruent to three sides on another triangle the triangles are conguent