What are the 5 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 do we use SSS SAS ASA and AAS to prove?
Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal. In this lesson, we will consider the four rules to prove triangle congruence. They are called the SSS rule, SAS rule, ASA rule and AAS rule.
How do I find my AAS?
AAS stands for “angle, angle, side” and means that we have two triangles where we know two angles and the non-included side are equal. If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
What is AAS postulate?
Whereas the Angle-Angle-Side Postulate (AAS) tells us that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.
What does SAS mean in math?
side-angle-side
first such theorem is the side-angle-side (SAS) theorem: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
What is AAS geometry?
AAS (angle-angle-side) Two angles and a non-included side are congruent.
How are AAS and ASA different?
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.