Congruent Triangle Theorem and Postulates
Hypotenuse-Leg Theorem (HL theorem) Side-Side-Side Postulate (SSS postulate) Angle-Side-Angle Postulate (ASA postulate) Side-Angle-Side Postulate (SAS postulate)
What are the 5 triangle congruence theorems?
Thus the five theorems of congruent triangles are SSS, SAS, AAS, HL, and ASA.
SSS – side, side, and side. SAS – side, angle, and side. ASA – angle, side, and angle. AAS – angle, angle, and side. HL – hypotenuse and leg.
What are the 3 types of congruence in triangles?
The triangle congruence criteria are:
SSS (Side-Side-Side)SAS (Side-Angle-Side)ASA (Angle-Side-Angle)AAS (Angle-Angle-Side)HL (Hypotenuse-Leg, right triangle only)
How can you tell if triangles are congruent?
SSS (Side-Side-Side)
The simplest way to prove that triangles are congruent is to prove that all three sides of the triangle are congruent. When all the sides of two triangles are congruent, the angles of those triangles must also be congruent. This method is called side-side-side, or SSS for short.
Is AAS congruent?
Another shortcut is angle-angle-side (AAS), where two pairs of angles and the non-included side are known to be congruent.
What is SAS ASA SSS AAS?
Conditions for Congruence of Triangles:
SSS (Side-Side-Side) SAS (Side-Angle-Side) ASA (Angle-Side-Angle) AAS (Angle-Angle-Side) RHS (Right angle-Hypotenuse-Side)
What is the difference between ASA and AAS?
While both are the geometry terms used in proofs and they relate to the placement of angles and sides, the difference lies in when to use them. ASA refers to any two angles and the included side, whereas AAS refers to the two corresponding angles and the non-included side.
What does Asa mean in math?
ASA (angle-side-angle) Two angles and the side between them are congruent. AAS (angle-angle-side)
What is ASA theorem in geometry?
ASA Theorem (Angle-Side-Angle)
The Angle Side Angle Postulate (ASA) says triangles are congruent if any two angles and their included side are equal in the triangles. An included side is the side between two angles.
