## What are the 4 congruence theorems?

If the hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle, the two right triangles are congruent. Corresponding parts of congruent triangles are congruent….Angles:

Right Angles | All right angles are congruent. |
---|---|

Straight Angles | All straight angles are congruent. |

## What are the 5 congruence theorems?

There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL.

- SSS (side, side, side) SSS stands for “side, side, side” and means that we have two triangles with all three sides equal.
- SAS (side, angle, side)
- ASA (angle, side, angle)
- AAS (angle, angle, side)
- HL (hypotenuse, leg)

**What is the SSA congruence theorem?**

The acronym SSA (side-side-angle) refers to the criterion of congruence of two triangles: if two sides and an angle not include between them are respectively equal to two sides and an angle of the other then the two triangles are equal.

**What is special about HL?**

They hypotenuse leg (HL) theorem for right triangles states that if the hypotenuse and one leg of one right triangle have the same lengths as the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

### What is La theorem?

First, there’s the LA theorem. This is the leg-acute theorem. It states that if the leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.

### What does Asa mean in math?

angle-side-angle

ASA (angle-side-angle) Two angles and the side between them are congruent. AAS (angle-angle-side)

**What is the difference between AAS and ASA?**

ASA stands for “Angle, Side, Angle”, while AAS means “Angle, Angle, Side”. Two figures are congruent if they are of the same shape and size. ASA refers to any two angles and the included side, whereas AAS refers to the two corresponding angles and the non-included side.

**What’s the difference between SAS and SSA?**

For two triangles to be congruent, SAS theorem requires two sides and the included angle of the first triangle to be congruent to the corresponding two sides and included angle of the second triangle. are not between the corresponding congruent sides. Such a theorem could be named, for example, SSA theorem.

## What is ASA theorem in geometry?

The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

## Whats the difference between SAS and HL?

This is kind of like the SAS, or side-angle-side postulate. But SAS requires you to know two sides and the included angle. With the HL theorem, you know two sides and an angle, but the angle you know is the right angle, which isn’t the included angle between the hypotenuse and a leg.

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